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Garcke, Harald

Co-Author Distance
Author ID:
garcke.harald Recent zbMATH articles by "Garcke, Harald"
Published as:
Garcke, Harald;Garcke, H.
alltop 5

Co-Authors

9single-authored
59 Nürnberg, Robert
41 Barrett, John William
19 Abels, Helmut
19 Lam, Kei Fong
10 Styles, Vanessa
9 Knopf, Patrik
8 Blank, Luise
8 Kahle, Christian
8 Zhao, Quan
7 Elliott, Charles M.
7 Hinze, Michael
7 Nestler, Britta
7 Signori, Andrea
6 Hecht, Claudia
6 Kohsaka, Yoshihito
6 Stinner, Bjorn
5 Eck, Christof
5 Grün, Günther
5 Ito, Kazuo
5 Trautwein, Dennis
4 Benninghoff, Heike
4 Depner, Daniel
4 Ebenbeck, Matthias
4 Knabner, Peter
4 Sarbu, Lavinia
4 Stoth, Barbara E. E.
4 Weikard, Ulrich
3 Agosti, Abramo
3 Blowey, James F.
3 Dal Passo, Roberta
3 Hüttl, Paul
3 Niethammer, Barbara
3 Poiatti, Andrea
3 Rocca, Elisabetta
2 Arab, Nasrin
2 Bao, Weizhu
2 Bürger, Felicitas
2 Burger, Martin
2 Butz, Martin V.
2 Colli, Pierluigi
2 Gößwein, Michael
2 Kovacs, Balazs A.
2 Menzel, Julia H.
2 Mitra, Sourav
2 Müller, Lars
2 Pluda, Alessandra
2 Röger, Matthias
2 Rumpf, Martin
2 Rupprecht, Christoph
2 Sitka, Emanuel
2 Weber, Josef
2 Yayla, Sema
2 Zhang, Ganghui
1 Alfaro, Matthieu
1 Bänsch, Eberhard
1 Bertsch, Michiel
1 Bronsard, Lia
1 Ciarletta, Pasquale
1 Deckelnick, Klaus
1 Dede’, Luca
1 Di Primio, Andrea
1 Escher, Joachim
1 Eto, Tokuhiro
1 Frank, Florian
1 Giorgini, Andrea
1 Haselböck, Jonas
1 Hilhorst, Danielle
1 Jiang, Wei
1 Kampmann, Johannes
1 Kornhuber, Ralf
1 Kraus, Christiane
1 Kwak, David Jung Chul
1 Laux, Tim
1 Lenz, Martin O.
1 Maier-Paape, Stanislaus
1 Matano, Hiroshi
1 Matioc, Bogdan-Vasile
1 Metzger, Stefan
1 Nikolić, Vanja
1 Nöldner, Philipp
1 Novick-Cohen, Amy
1 Peletier, Mark Adriaan
1 Pozzi, Paola
1 Praetorius, Simon
1 Rätz, Andreas
1 Rauchecker, Maximilian
1 Schatzle, Reiner
1 Schaubeck, Stefan
1 Schlömerkemper, Anja
1 Ševčovič, Daniel
1 Simonett, Gieri
1 Srisupattarawanit, Tarin
1 Sturzenhecker, Thomas
1 Su, Chunmei
1 Voigt, Axel
1 Wendler, Frank
1 Werner, Philipp
1 Wieland, Sandra
1 Wittmann, Julia
alltop 5

Serials

9 Numerische Mathematik
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 IMA Journal of Numerical Analysis
7 Journal of Computational Physics
7 SIAM Journal on Mathematical Analysis
7 Interfaces and Free Boundaries
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal of Differential Equations
5 Advances in Mathematical Sciences and Applications
5 Discrete and Continuous Dynamical Systems. Series S
4 Applied Mathematics and Optimization
4 SIAM Journal on Numerical Analysis
4 Advances in Differential Equations
3 Mathematische Nachrichten
3 SIAM Journal on Control and Optimization
3 Physica D
3 Numerical Methods for Partial Differential Equations
3 Journal of Scientific Computing
3 European Journal of Applied Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Applied Mathematics
3 SIAM Journal on Scientific Computing
3 Journal of Mathematical Fluid Mechanics
3 Journal of Evolution Equations
3 Communications in Mathematical Sciences
3 Oberwolfach Reports
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Springer-Lehrbuch
2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
2 Mathematics of Computation
2 Hokkaido Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Nonlinear Analysis. Real World Applications
2 Journal of Numerical Mathematics
2 SIAM Journal on Imaging Sciences
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Mathematische Annalen
1 Applied Numerical Mathematics
1 Communications in Partial Differential Equations
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Communications in Analysis and Geometry
1 Calculus of Variations and Partial Differential Equations
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 IEEE Transactions on Image Processing
1 Communications on Pure and Applied Analysis
1 Bonner Mathematische Schriften
1 Oberwolfach Seminars
1 Communications in Computational Physics
1 Advances in Nonlinear Analysis
1 Geometric Flows
1 AIMS Mathematics
1 Springer Undergraduate Mathematics Series
1 SMAI Journal of Computational Mathematics
alltop 5

Fields

151 Partial differential equations (35-XX)
77 Numerical analysis (65-XX)
59 Fluid mechanics (76-XX)
46 Mechanics of deformable solids (74-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
37 Differential geometry (53-XX)
32 Biology and other natural sciences (92-XX)
22 Classical thermodynamics, heat transfer (80-XX)
22 Statistical mechanics, structure of matter (82-XX)
7 General and overarching topics; collections (00-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Information and communication theory, circuits (94-XX)
4 Ordinary differential equations (34-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
2 Computer science (68-XX)
1 Real functions (26-XX)
1 Convex and discrete geometry (52-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

171 Publications have been cited 3,853 times in1,746 DocumentsCited by ▼Year ▼
On the Cahn-Hilliard equation with degenerate mobility. Zbl 0856.35071
Elliott, Charles M.;Garcke, Harald
1996
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut;Garcke, Harald;Grün, Günther
2012
Finite element approximation of the Cahn-Hilliard equation with degenerate mobility. Zbl 0947.65109
Barrett, John W.;Blowey, James F.;Garcke, Harald
1999
A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038
Garcke, Harald;Lam, Kei Fong;Sitka, Emanuel;Styles, Vanessa
2016
On a fourth-order degenerate parabolic equation: Global entropy estimates, existence, and qualitative behavior of solutions. Zbl 0929.35061
Dal Passo, Roberta;Garcke, Harald;Grün, Günther
1998
A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2007
On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\). Zbl 1145.65068
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2008
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald;Lam, Kei Fong
2017
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029
Garcke, Harald;Lam, Kei Fong;Nürnberg, Robert;Sitka, Emanuel
2018
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut;Depner, Daniel;Garcke, Harald
2013
Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2008
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. Zbl 1347.76052
Abels, Helmut;Depner, Daniel;Garcke, Harald
2013
On anisotropic order parameter models for multi-phase systems and their sharp interface limits. Zbl 0936.82010
Garcke, Harald;Nestler, Britta;Stoth, Barbara
1998
A multiphase field concept: Numerical simulations of moving phase boundaries and multiple junctions. Zbl 0942.35095
Garcke, Harald;Nestler, Britta;Stoth, Barbara
1999
Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2020
On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2007
Optimal control of treatment time in a diffuse interface model of tumor growth. Zbl 1403.35139
Garcke, Harald;Lam, Kei Fong;Rocca, Elisabetta
2018
Global weak solutions and asymptotic limits of a Cahn-Hilliard-Darcy system modelling tumour growth. Zbl 1434.35255
Garcke, Harald;Lam, Kei Fong
2016
The thin viscous flow equation in higher space dimensions. Zbl 0954.35035
Bertsch, Michiel;Dal Passo, Roberta;Garcke, Harald;Grün, Günther
1998
Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis. Zbl 1360.35042
Garcke, Harald;Lam, Kei Fong
2017
Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis. Zbl 1410.35058
Ebenbeck, Matthias;Garcke, Harald
2019
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald;Lam, Kei Fong;Stinner, Björn
2014
Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Zbl 0913.65084
Barrett, John W.;Blowey, James F.;Garcke, Harald
1998
On Cahn-Hilliard systems with elasticity. Zbl 1130.74037
Garcke, Harald
2003
On fully practical finite element approximations of degenerate Cahn-Hilliard systems. Zbl 0987.35071
Barrett, John W.;Blowey, James F.;Garcke, Harald
2001
The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2011
Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2008
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Zbl 1329.76168
Garcke, Harald;Hinze, Michael;Kahle, Christian
2016
Phase-field approaches to structural topology optimization. Zbl 1356.49044
Blank, Luise;Garcke, Harald;Sarbu, Lavinia;Srisupattarawanit, Tarin;Styles, Vanessa;Voigt, Axel
2012
Weak solutions of the Cahn-Hilliard system with dynamic boundary conditions: a gradient flow approach. Zbl 1429.35114
Garcke, Harald;Knopf, Patrik
2020
A singular limit for a system of degenerate Cahn-Hilliard equations. Zbl 0988.35019
Garcke, Harald;Novick-Cohen, Amy
2000
Relating phase field and sharp interface approaches to structural topology optimization. Zbl 1301.49113
Blank, Luise;Garcke, Harald;Farshbaf-Shaker, M. Hassan;Styles, Vanessa
2014
On a Cahn–Hilliard model for phase separation with elastic misfit. Zbl 1072.35081
Garcke, Harald
2005
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2008
A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2016
Existence results for diffusive surface motion laws. Zbl 0876.35050
Elliott, Charles M.;Garcke, Harald
1997
Numerical approximation of phase field based shape and topology optimization for fluids. Zbl 1322.35113
Garcke, Harald;Hecht, Claudia;Hinze, Michael;Kahle, Christian
2015
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects. Zbl 1456.35091
Garcke, Harald;Lam, Kei Fong;Signori, Andrea
2021
Surfactant spreading on thin viscous films: nonnegative solutions of a coupled degenerate system. Zbl 1102.35056
Garcke, Harald;Wieland, Sandra
2006
Numerical approximation of gradient flows for closed curves in \(\mathbb R^{d}\). Zbl 1185.65027
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2010
A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities. Zbl 1394.35353
Dedè, Luca;Garcke, Harald;Lam, Kei Fong
2018
A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
On a Cahn-Hilliard-Brinkman model for tumor growth and its singular limits. Zbl 1420.35116
Ebenbeck, Matthias;Garcke, Harald
2019
Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints. Zbl 1272.65060
Blank, Luise;Garcke, Harald;Sarbu, Lavinia;Styles, Vanessa
2013
A multi-phase Mullins-Sekerka system: Matched asymptotic expansions and an implicit time discretisation for the geometric evolution problem. Zbl 0924.35199
Bronsard, Lia;Garcke, Harald;Stoth, Barbara
1998
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2012
Second order phase field asymptotics for multi-component systems. Zbl 1106.35116
Garcke, Harald;Stinner, Björn
2006
On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms. Zbl 1406.92296
Garcke, Harald;Lam, Kei Fong
2018
Sharp interface limit for a phase field model in structural optimization. Zbl 1348.35259
Blank, Luise;Garcke, Harald;Hecht, Claudia;Rupprecht, Christoph
2016
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2010
On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2003
Allen-Cahn systems with volume constraints. Zbl 1147.49036
Garcke, Harald;Nestler, Britta;Stinner, Björn;Wendler, Frank
2008
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2010
A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes. Zbl 1338.35222
Garcke, Harald;Kampmann, Johannes;Rätz, Andreas;Röger, Matthias
2016
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix. Zbl 0925.35087
Elliott, Charles M.;Garcke, Harald
1997
Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2013
A diffuse interface model for alloys with multiple components and phases. Zbl 1126.82025
Garcke, Harald;Nestler, Britta;Stinner, Bjorn
2004
The Cahn-Hilliard equation with elasticity – finite element approximation and qualitative studies. Zbl 0972.35164
Garcke, Harald;Rumpf, Martin;Weikard, Ulrich
2001
Curvature driven interface evolution. Zbl 1279.53064
Garcke, Harald
2013
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix. Zbl 1194.35225
Elliott, Charles M.;Garcke, Harald
1997
Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2017
Willmore flow of planar networks. Zbl 1436.35233
Garcke, Harald;Menzel, Julia;Pluda, Alessandra
2019
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Zbl 1406.35274
Garcke, Harald;Hinze, Michael;Kahle, Christian;Lam, Kei Fong
2018
Multi-material phase field approach to structural topology optimization. Zbl 1327.49068
Blank, Luise;Farshbaf-Shaker, M. Hassan;Garcke, Harald;Rupprecht, Christoph;Styles, Vanessa
2014
Finite element methods for fourth order axisymmetric geometric evolution equations. Zbl 1416.65334
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2019
Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2012
Viscoelastic Cahn-Hilliard models for tumor growth. Zbl 1524.35659
Garcke, Harald;Kovács, Balázs;Trautwein, Dennis
2022
Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2010
Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036
Garcke, Harald;Menzel, Julia;Pluda, Alessandra
2020
Shape and topology optimization involving the eigenvalues of an elastic structure: a multi-phase-field approach. Zbl 1475.35217
Garcke, Harald;Hüttl, Paul;Knopf, Patrik
2022
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. Zbl 07525159
Bao, Weizhu;Garcke, Harald;Nürnberg, Robert;Zhao, Quan
2022
Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method. Zbl 1233.35132
Blank, Luise;Butz, Martin;Garcke, Harald
2011
Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2006
Anisotropy in multi-phase systems: A phase field approach. Zbl 0959.35169
Garcke, Harald;Stoth, Barbara;Nestler, Britta
1999
Sparse optimal control of a phase field tumor model with mechanical effects. Zbl 1461.49060
Garcke, Harald;Lam, Kei Fong;Signori, Andrea
2021
Cahn-Hilliard-Brinkman systems for tumour growth. Zbl 1480.35411
Ebenbeck, Matthias;Garcke, Harald;Nürnberg, Robert
2021
Mathematical modeling. Zbl 1386.00063
Eck, Christof;Garcke, Harald;Knabner, Peter
2017
Mean curvature flow with triple junctions in higher space dimensions. Zbl 1291.53078
Depner, Daniel;Garcke, Harald;Kohsaka, Yoshihito
2014
Numerical approximation of the Cahn-Larché equation. Zbl 1099.74063
Garcke, Harald;Weikard, Ulrich
2005
A phase field model for the electromigration of intergranular voids. Zbl 1132.35082
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2007
Variational discretization of axisymmetric curvature flows. Zbl 1419.65051
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2019
Stable phase field approximations of anisotropic solidification. Zbl 1310.65120
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2014
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Zbl 1427.74161
Barrett, John. W.;Garcke, Harald;Nürnberg, Robert
2013
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen-Cahn equation. Zbl 1204.35026
Alfaro, Matthieu;Garcke, Harald;Hilhorst, Danielle;Matano, Hiroshi;Schätzle, Reiner
2010
Cahn-Hilliard inpainting with the double obstacle potential. Zbl 1455.94019
Garcke, Harald;Lam, Kei Fong;Styles, Vanessa
2018
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Zbl 1352.49046
Garcke, Harald;Hecht, Claudia;Hinze, Michael;Kahle, Christian;Lam, Kei Fong
2016
Linearized stability analysis of surface diffusion for hypersurfaces with triple lines. Zbl 1263.35031
Depner, Daniel;Garcke, Harald
2013
Nonlocal Allen-Cahn systems. Analysis and a primal-dual active set method. Zbl 1279.65087
Blank, Luise;Garcke, Harald;Sarbu, Lavinia;Styles, Vanessa
2013
Shape and topology optimization in Stokes flow with a phase field approach. Zbl 1334.49133
Garcke, Harald;Hecht, Claudia
2016
Efficient image segmentation and restoration using parametric curve evolution with junctions and topology changes. Zbl 1308.94013
Benninghoff, Heike;Garcke, Harald
2014
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Zbl 07565226
Elliott, Charles M.;Garcke, Harald;Kovács, Balázs
2022
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 1500.65058
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2021
Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2013
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants. Zbl 1404.35340
Abels, Helmut;Garcke, Harald;Weber, Josef
2019
Solutions of a fourth order degenerate parabolic equation with weak initial trace. Zbl 0945.35049
Dal Passo, Roberta;Garcke, Harald
1999
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. Zbl 1437.35575
Garcke, Harald;Hinze, Michael;Kahle, Christian
2019
Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow. Zbl 1342.35218
Garcke, Harald;Hecht, Claudia
2016
Segmentation and restoration of images on surfaces by parametric active contours with topology changes. Zbl 1405.94014
Benninghoff, Heike;Garcke, Harald
2016
Existence of weak solutions to a Cahn-Hilliard-Biot system. Zbl 1552.35004
Abels, Helmut;Garcke, Harald;Haselböck, Jonas
2025
Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities. Zbl 1548.35199
Abels, Helmut;Garcke, Harald;Giorgini, Andrea
2024
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions. Zbl 1539.92035
Garcke, Harald;Trautwein, Dennis
2024
Mathematical analysis of a diffuse interface model for multi-phase flows of incompressible viscous fluids with different densities. Zbl 1537.35277
Abels, Helmut;Garcke, Harald;Poiatti, Andrea
2024
Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures. Zbl 1532.35443
Garcke, Harald;Hüttl, Paul;Kahle, Christian;Knopf, Patrik
2024
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters. Zbl 1531.65156
Bao, Weizhu;Garcke, Harald;Nürnberg, Robert;Zhao, Quan
2023
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. Zbl 1510.35163
Garcke, Harald;Knopf, Patrik;Nürnberg, Robert;Zhao, Quan
2023
Phase-field methods for spectral shape and topology optimization. Zbl 1512.35411
Garcke, Harald;Hüttl, Paul;Kahle, Christian;Knopf, Patrik;Laux, Tim
2023
Short time existence for coupling of scaled mean curvature flow and diffusion. Zbl 1509.53097
Abels, Helmut;Bürger, Felicitas;Garcke, Harald
2023
Qualitative properties for a system coupling scaled mean curvature flow and diffusion. Zbl 1510.53103
Abels, Helmut;Bürger, Felicitas;Garcke, Harald
2023
Interfaces: modeling, analysis, numerics. Zbl 07756324
Bänsch, Eberhard;Deckelnick, Klaus;Garcke, Harald;Pozzi, Paola
2023
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches. Zbl 07705917
Garcke, Harald;Nürnberg, Robert;Zhao, Quan
2023
Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies. Zbl 1511.49002
Garcke, Harald;Lam, Kei Fong;Nürnberg, Robert;Signori, Andrea
2023
A Cahn-Hilliard model coupled to viscoelasticity with large deformations. Zbl 1534.35307
Agosti, Abramo;Colli, Pierluigi;Garcke, Harald;Rocca, Elisabetta
2023
A Cahn-Hilliard phase field model coupled to an Allen-Cahn model of viscoelasticity at large strains. Zbl 1528.35185
Agosti, A.;Colli, P.;Garcke, H.;Rocca, E.
2023
Phase field topology optimisation for 4D printing. Zbl 1512.49007
Garcke, Harald;Lam, Kei Fong;Nürnberg, Robert;Signori, Andrea
2023
The anisotropic Cahn-Hilliard equation: regularity theory and strict separation properties. Zbl 1532.35268
Garcke, Harald;Knopf, Patrik;Wittmann, Julia
2023
Viscoelastic Cahn-Hilliard models for tumor growth. Zbl 1524.35659
Garcke, Harald;Kovács, Balázs;Trautwein, Dennis
2022
Shape and topology optimization involving the eigenvalues of an elastic structure: a multi-phase-field approach. Zbl 1475.35217
Garcke, Harald;Hüttl, Paul;Knopf, Patrik
2022
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations. Zbl 07525159
Bao, Weizhu;Garcke, Harald;Nürnberg, Robert;Zhao, Quan
2022
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. Zbl 07565226
Elliott, Charles M.;Garcke, Harald;Kovács, Balázs
2022
Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1527.92002
Garcke, Harald;Trautwein, Dennis
2022
Long-time dynamics of the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary conditions. Zbl 1479.35094
Garcke, Harald;Knopf, Patrik;Yayla, Sema
2022
Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact. Zbl 1523.35035
Garcke, Harald;Rauchecker, Maximilian
2022
Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids. Zbl 1497.35367
Garcke, Harald;Knopf, Patrik;Mitra, Sourav;Schlömerkemper, Anja
2022
A diffuse interface model for cell blebbing including membrane-cortex coupling with linker dynamics. Zbl 1497.92085
Werner, Philipp;Burger, Martin;Frank, Florian;Garcke, Harald
2022
A phase-field approach to shape and topology optimization of acoustic waves in dissipative media. Zbl 1495.35125
Garcke, Harald;Mitra, Sourav;Nikolić, Vanja
2022
On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects. Zbl 1456.35091
Garcke, Harald;Lam, Kei Fong;Signori, Andrea
2021
Sparse optimal control of a phase field tumor model with mechanical effects. Zbl 1461.49060
Garcke, Harald;Lam, Kei Fong;Signori, Andrea
2021
Cahn-Hilliard-Brinkman systems for tumour growth. Zbl 1480.35411
Ebenbeck, Matthias;Garcke, Harald;Nürnberg, Robert
2021
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 1500.65058
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2021
Non-linear stability of double bubbles under surface diffusion. Zbl 1482.35110
Garcke, H.;Gößwein, M.
2021
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds. Zbl 1478.65084
Garcke, Harald;Nürnberg, Robert
2021
Standard planar double bubbles are dynamically stable under surface diffusion flow. Zbl 1480.35006
Abels, Helmut;Arab, Nasrin;Garcke, Harald
2021
Structure-preserving discretizations of gradient flows for axisymmetric two-phase biomembranes. Zbl 1516.65128
Garcke, Harald;Nürnberg, Robert
2021
On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces. Zbl 1475.35194
Garcke, Harald;Matioc, Bogdan-Vasile
2021
Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2020
Weak solutions of the Cahn-Hilliard system with dynamic boundary conditions: a gradient flow approach. Zbl 1429.35114
Garcke, Harald;Knopf, Patrik
2020
Long time existence of solutions to an elastic flow of networks. Zbl 1460.35036
Garcke, Harald;Menzel, Julia;Pluda, Alessandra
2020
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data. Zbl 1458.92048
Agosti, A.;Ciarletta, P.;Garcke, H.;Hinze, M.
2020
On the surface diffusion flow with triple junctions in higher space dimensions. Zbl 1439.53079
Garcke, H.;Gößwein, M.
2020
Long-time dynamics for a Cahn-Hilliard tumor growth model with chemotaxis. Zbl 1446.35221
Garcke, Harald;Yayla, Sema
2020
Numerical approximation of curve evolutions in Riemannian manifolds. Zbl 1466.65121
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2020
Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis. Zbl 1410.35058
Ebenbeck, Matthias;Garcke, Harald
2019
On a Cahn-Hilliard-Brinkman model for tumor growth and its singular limits. Zbl 1420.35116
Ebenbeck, Matthias;Garcke, Harald
2019
Willmore flow of planar networks. Zbl 1436.35233
Garcke, Harald;Menzel, Julia;Pluda, Alessandra
2019
Finite element methods for fourth order axisymmetric geometric evolution equations. Zbl 1416.65334
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2019
Variational discretization of axisymmetric curvature flows. Zbl 1419.65051
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2019
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants. Zbl 1404.35340
Abels, Helmut;Garcke, Harald;Weber, Josef
2019
Optimal control of time-discrete two-phase flow driven by a diffuse-interface model. Zbl 1437.35575
Garcke, Harald;Hinze, Michael;Kahle, Christian
2019
Stable discretizations of elastic flow in Riemannian manifolds. Zbl 1422.65249
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2019
A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis. Zbl 1380.92029
Garcke, Harald;Lam, Kei Fong;Nürnberg, Robert;Sitka, Emanuel
2018
Optimal control of treatment time in a diffuse interface model of tumor growth. Zbl 1403.35139
Garcke, Harald;Lam, Kei Fong;Rocca, Elisabetta
2018
A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities. Zbl 1394.35353
Dedè, Luca;Garcke, Harald;Lam, Kei Fong
2018
On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms. Zbl 1406.92296
Garcke, Harald;Lam, Kei Fong
2018
A phase field approach to shape optimization in Navier-Stokes flow with integral state constraints. Zbl 1406.35274
Garcke, Harald;Hinze, Michael;Kahle, Christian;Lam, Kei Fong
2018
Cahn-Hilliard inpainting with the double obstacle potential. Zbl 1455.94019
Garcke, Harald;Lam, Kei Fong;Styles, Vanessa
2018
Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation. Zbl 1416.74070
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2018
Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 1375.92011
Garcke, Harald;Lam, Kei Fong
2017
Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis. Zbl 1360.35042
Garcke, Harald;Lam, Kei Fong
2017
Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2017
Mathematical modeling. Zbl 1386.00063
Eck, Christof;Garcke, Harald;Knabner, Peter
2017
Two-phase flow with surfactants: diffuse interface models and their analysis. Zbl 1391.76766
Abels, Helmut;Garcke, Harald;Lam, Kei Fong;Weber, Josef
2017
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Zbl 1433.65206
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2017
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2017
Segmentation of three-dimensional images with parametric active surfaces and topology changes. Zbl 1376.65017
Benninghoff, Heike;Garcke, Harald
2017
Mathematical modelling. 3rd edition. (Mathematische Modellierung.) Zbl 1368.00002
Eck, Christof;Garcke, Harald;Knabner, Peter
2017
Diffuse interface models for incompressible two-phase flows with different densities. Zbl 1391.76765
Abels, Helmut;Garcke, Harald;Grün, Günther;Metzger, Stefan
2017
A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport. Zbl 1336.92038
Garcke, Harald;Lam, Kei Fong;Sitka, Emanuel;Styles, Vanessa
2016
Global weak solutions and asymptotic limits of a Cahn-Hilliard-Darcy system modelling tumour growth. Zbl 1434.35255
Garcke, Harald;Lam, Kei Fong
2016
A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. Zbl 1329.76168
Garcke, Harald;Hinze, Michael;Kahle, Christian
2016
A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2016
Sharp interface limit for a phase field model in structural optimization. Zbl 1348.35259
Blank, Luise;Garcke, Harald;Hecht, Claudia;Rupprecht, Christoph
2016
A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes. Zbl 1338.35222
Garcke, Harald;Kampmann, Johannes;Rätz, Andreas;Röger, Matthias
2016
Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach. Zbl 1352.49046
Garcke, Harald;Hecht, Claudia;Hinze, Michael;Kahle, Christian;Lam, Kei Fong
2016
Shape and topology optimization in Stokes flow with a phase field approach. Zbl 1334.49133
Garcke, Harald;Hecht, Claudia
2016
Applying a phase field approach for shape optimization of a stationary Navier-Stokes flow. Zbl 1342.35218
Garcke, Harald;Hecht, Claudia
2016
Segmentation and restoration of images on surfaces by parametric active contours with topology changes. Zbl 1405.94014
Benninghoff, Heike;Garcke, Harald
2016
Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Zbl 1428.53104
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2016
Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension. Zbl 1335.53079
Abels, Helmut;Garcke, Harald;Müller, Lars
2016
Image segmentation using parametric contours with free endpoints. Zbl 1408.94048
Benninghoff, Heike;Garcke, Harald
2016
Numerical approximation of phase field based shape and topology optimization for fluids. Zbl 1322.35113
Garcke, Harald;Hecht, Claudia;Hinze, Michael;Kahle, Christian
2015
A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2015
A phase field approach for shape and topology optimization in Stokes flow. Zbl 1329.76108
Garcke, Harald;Hecht, Claudia
2015
Stability of spherical caps under the volume-preserving mean curvature flow with line tension. Zbl 1314.53115
Abels, Helmut;Garcke, Harald;Müller, Lars
2015
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions. Zbl 1366.35006
Abels, Helmut;Arab, Nasrin;Garcke, Harald
2015
Diffuse interface modelling of soluble surfactants in two-phase flow. Zbl 1319.35309
Garcke, Harald;Lam, Kei Fong;Stinner, Björn
2014
Relating phase field and sharp interface approaches to structural topology optimization. Zbl 1301.49113
Blank, Luise;Garcke, Harald;Farshbaf-Shaker, M. Hassan;Styles, Vanessa
2014
Multi-material phase field approach to structural topology optimization. Zbl 1327.49068
Blank, Luise;Farshbaf-Shaker, M. Hassan;Garcke, Harald;Rupprecht, Christoph;Styles, Vanessa
2014
Mean curvature flow with triple junctions in higher space dimensions. Zbl 1291.53078
Depner, Daniel;Garcke, Harald;Kohsaka, Yoshihito
2014
Stable phase field approximations of anisotropic solidification. Zbl 1310.65120
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2014
Efficient image segmentation and restoration using parametric curve evolution with junctions and topology changes. Zbl 1308.94013
Benninghoff, Heike;Garcke, Harald
2014
Phase field models versus parametric front tracking methods: are they accurate and computationally efficient? Zbl 1388.65096
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2014
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut;Depner, Daniel;Garcke, Harald
2013
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. Zbl 1347.76052
Abels, Helmut;Depner, Daniel;Garcke, Harald
2013
Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints. Zbl 1272.65060
Blank, Luise;Garcke, Harald;Sarbu, Lavinia;Styles, Vanessa
2013
Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040
Barrett, John W.;Garcke, Harald;Nürnberg, Robert
2013
...and 71 more Documents
alltop 5

Cited by 2,084 Authors

108 Garcke, Harald
55 Nürnberg, Robert
39 Abels, Helmut
34 Kim, Junseok
31 Yang, Xiaofeng
29 Lam, Kei Fong
28 Grasselli, Maurizio
28 Rocca, Elisabetta
28 Signori, Andrea
26 Barrett, John William
24 Colli, Pierluigi
24 Miranville, Alain M.
21 Wu, Hao
19 Elliott, Charles M.
19 Nestler, Britta
19 Sprekels, Jürgen
18 Knopf, Patrik
18 Wise, Steven M.
17 Giorgini, Andrea
17 Grün, Günther
17 Scarpa, Luca
17 Zhao, Quan
16 Kou, Jisheng
16 Sun, Shuyu
15 Kahle, Christian
15 Li, Buyang
15 Olshanskii, Maxim A.
15 Voigt, Axel
15 Wang, Cheng
14 Hinze, Michael
14 Jiang, Wei
14 Lowengrub, John Samuel
14 Styles, Vanessa
13 Liu, Chun
13 Wang, Xiaoming
12 Agosti, Abramo
12 Bao, Weizhu
12 Chen, Wenbin
12 Hintermüller, Michael
11 Deckelnick, Klaus
11 Dong, Suchuan
11 Han, Daozhi
11 Jüngel, Ansgar
11 Kovacs, Balazs A.
11 Poiatti, Andrea
11 Roubíček, Tomáš
11 Stinner, Bjorn
11 Yang, Junxiang
11 Zhao, Xiaopeng
10 Aland, Sebastian
10 Blank, Luise
10 Frigeri, Sergio
10 Fritz, Marvin
10 Li, Yibao
9 Bretin, Elie
9 Brunk, Aaron
9 Cherfils, Laurence
9 Dai, Shibin
9 Fukao, Takeshi
9 Gal, Ciprian Gheorghe Sorin
9 Gilardi, Gianni
9 Guillén González, Francisco M.
9 Kraus, Christiane
9 Li, Yifei
9 Lin, Ping
9 Pluda, Alessandra
9 Pozzi, Paola
9 Rabczuk, Timon
9 Stefanelli, Ulisse
9 Van Brummelen, Harald
9 Winkler, Michael
9 Zhu, Peicheng
8 Chen, Chuanjun
8 Escher, Joachim
8 Gao, Yali
8 Harfash, Akil Jassim
8 Jeong, Darae
8 Lee, Hyun Geun
8 Liu, Changchun
8 Metzger, Stefan
8 Reusken, Arnold
8 Schimperna, Giulio
8 Shen, Jie
8 Stoll, Martin
8 Wohlmuth, Barbara I.
8 Zhang, Zhen
8 Zhao, Jia
7 Beneš, Michal
7 Cavaterra, Cecilia
7 Dede’, Luca
7 Du, Qiang
7 Fischer, Julian
7 Laux, Tim
7 Masnou, Simon
7 Nikolić, Vanja
7 Nochetto, Ricardo Horacio
7 Oden, John Tinsley
7 Schneider, Daniel
7 Taranets, Roman M.
7 Tierra, Giordano
...and 1,984 more Authors
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Cited in 245 Serials

174 Journal of Computational Physics
73 Computer Methods in Applied Mechanics and Engineering
46 Journal of Scientific Computing
40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
37 Journal of Differential Equations
34 SIAM Journal on Scientific Computing
32 Computers & Mathematics with Applications
32 Journal of Computational and Applied Mathematics
32 Numerische Mathematik
30 Applied Mathematics and Optimization
29 Archive for Rational Mechanics and Analysis
29 SIAM Journal on Numerical Analysis
29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
28 Mathematical Methods in the Applied Sciences
28 Interfaces and Free Boundaries
27 European Journal of Applied Mathematics
27 SIAM Journal on Mathematical Analysis
26 Discrete and Continuous Dynamical Systems. Series S
25 Physica D
24 Journal of Mathematical Analysis and Applications
24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Journal of Fluid Mechanics
22 Discrete and Continuous Dynamical Systems
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
19 Nonlinear Analysis. Real World Applications
18 International Journal for Numerical Methods in Engineering
18 Applied Numerical Mathematics
17 Nonlinearity
17 Communications in Computational Physics
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Numerical Methods for Partial Differential Equations
15 Calculus of Variations and Partial Differential Equations
15 Communications in Nonlinear Science and Numerical Simulation
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 SIAM Journal on Applied Mathematics
13 Computer Physics Communications
13 Applied Mathematics and Computation
13 Communications in Partial Differential Equations
13 Journal of Evolution Equations
12 Applicable Analysis
12 Mathematics of Computation
12 SIAM Journal on Control and Optimization
12 Journal of Nonlinear Science
11 Computers and Fluids
11 Continuum Mechanics and Thermodynamics
10 Mathematische Nachrichten
10 Applied Mathematical Modelling
10 NoDEA. Nonlinear Differential Equations and Applications
10 Advances in Computational Mathematics
10 Discrete and Continuous Dynamical Systems. Series B
9 Journal of Mathematical Physics
9 Mathematische Annalen
9 Computational Mechanics
9 Advances in Nonlinear Analysis
8 Applied Mathematics Letters
8 Asymptotic Analysis
8 Journal of Mathematical Fluid Mechanics
8 Communications on Pure and Applied Analysis
7 AIMS Mathematics
6 Physica A
6 Mathematics and Computers in Simulation
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Oberwolfach Reports
6 Journal of Theoretical Biology
5 Numerical Algorithms
5 Optimization and Engineering
5 Multiscale Modeling & Simulation
5 Boundary Value Problems
5 SIAM Journal on Imaging Sciences
5 Advances in Applied Mathematics and Mechanics
4 Communications on Pure and Applied Mathematics
4 Inverse Problems
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Proceedings of the American Mathematical Society
4 Quarterly of Applied Mathematics
4 Transactions of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Journal of Mathematical Imaging and Vision
4 Computational and Applied Mathematics
4 Computing and Visualization in Science
4 European Journal of Mechanics. B. Fluids
4 Analysis (München)
4 Archives of Computational Methods in Engineering
4 Computational Methods in Applied Mathematics
4 Journal of Numerical Mathematics
4 Milan Journal of Mathematics
4 Geometric Flows
4 Results in Applied Mathematics
3 Communications in Mathematical Physics
3 IMA Journal of Numerical Analysis
3 International Journal of Engineering Science
3 Journal of Engineering Mathematics
3 Journal of Mathematical Biology
3 Journal of the Mechanics and Physics of Solids
3 Bulletin of Mathematical Biology
3 Journal für die Reine und Angewandte Mathematik
3 Acta Applicandae Mathematicae
3 Journal of Computational Mathematics
3 Applications of Mathematics
...and 145 more Serials
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Cited in 44 Fields

1,108 Partial differential equations (35-XX)
740 Numerical analysis (65-XX)
649 Fluid mechanics (76-XX)
311 Mechanics of deformable solids (74-XX)
224 Calculus of variations and optimal control; optimization (49-XX)
220 Biology and other natural sciences (92-XX)
153 Differential geometry (53-XX)
112 Statistical mechanics, structure of matter (82-XX)
93 Classical thermodynamics, heat transfer (80-XX)
46 Dynamical systems and ergodic theory (37-XX)
30 Global analysis, analysis on manifolds (58-XX)
28 Operations research, mathematical programming (90-XX)
24 Integral equations (45-XX)
21 Probability theory and stochastic processes (60-XX)
20 Operator theory (47-XX)
20 Computer science (68-XX)
15 Optics, electromagnetic theory (78-XX)
14 Systems theory; control (93-XX)
14 Information and communication theory, circuits (94-XX)
10 Functional analysis (46-XX)
10 Geophysics (86-XX)
9 Ordinary differential equations (34-XX)
7 Approximations and expansions (41-XX)
6 General and overarching topics; collections (00-XX)
6 Real functions (26-XX)
6 Statistics (62-XX)
4 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Measure and integration (28-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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