Edit Profile (opens in new tab) Rätz, Andreas Co-Author Distance Author ID: ratz.andreas Published as: Rätz, Andreas; Ratz, Andreas; Rätz, A. more...less Documents Indexed: 28 Publications since 2004, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 20 Co-Authors with 23 Joint Publications 671 Co-Co-Authors all top 5 Co-Authors 5 single-authored 12 Voigt, Axel 8 Röger, Matthias 4 Schweizer, Ben 3 Lowengrub, John Samuel 2 Garcke, Harald 2 Kampmann, Johannes 2 Li, Bo 1 Aland, Sebastian 1 Berkels, Benjamin 1 Esedoglu, Selim 1 Hausser, Frank 1 Koch, Jan 1 Lamacz, Agnes 1 Li, Shuwang 1 Marth, Wieland 1 Otto, Felix 1 Penzler, Patrick 1 Ribalta, Angel 1 Rump, Tobias 1 Rumpf, Martin all top 5 Serials 3 Nonlinearity 3 Communications in Mathematical Sciences 2 Journal of Mathematical Biology 1 Applicable Analysis 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Physica D 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Advances in Mathematical Sciences and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Multiscale Modeling & Simulation 1 Bonner Mathematische Schriften 1 Communications in Computational Physics 1 International Journal of Biomathematics and Biostatistics all top 5 Fields 19 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 6 Fluid mechanics (76-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 376 times in 271 Documents Cited by ▼ Year ▼ Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027 Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 76 2009 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092 Rätz, Andreas; Voigt, Axel 58 2006 Symmetry breaking in a bulk-surface reaction-diffusion model for signalling networks. Zbl 1301.92025 Rätz, Andreas; Röger, Matthias 35 2014 Turing instabilities in a mathematical model for signaling networks. Zbl 1252.92018 Rätz, Andreas; Röger, Matthias 33 2012 Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035 Rätz, Andreas; Ribalta, Angel; Voigt, Axel 30 2006 Two-phase flow equations with a dynamic capillary pressure. Zbl 1261.76052 Koch, Jan; Rätz, Andreas; Schweizer, Ben 22 2013 Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062 Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel 17 2009 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 15 2016 A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315 Rätz, Andreas; Voigt, A. 11 2007 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039 Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 Hysteresis models and gravity fingering in porous media. Zbl 1297.76168 Rätz, Andreas; Schweizer, Ben 11 2014 A well-posed hysteresis model for flows in porous media and applications to fingering effects. Zbl 1258.76155 Lamacz, Agnes; Rätz, Andreas; Schweizer, Ben 9 2011 Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014 Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel 9 2013 Colliding interfaces in old and new diffuse-interface approximations of Willmore-flow. Zbl 1297.49044 Esedoḡlu, Selim; Rätz, Andreas; Röger, Matthias 8 2014 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033 Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 Turing-type instabilities in bulk-surface reaction-diffusion systems. Zbl 1402.92156 Rätz, Andreas 5 2015 Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325 Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel 4 2012 A new diffuse-interface model for step flow in epitaxial growth. Zbl 1333.35211 Rätz, Andreas 3 2015 A benchmark for the surface Cahn-Hilliard equation. Zbl 1381.35251 Rätz, Andreas 3 2016 Diffuse-interface approximations of osmosis free boundary problems. Zbl 1338.35509 Rätz, Andreas 3 2016 Stability of a circular epitaxial island. Zbl 1086.35109 Li, Bo; Rätz, Andreas; Voigt, Axel 2 2004 A new diffuse-interface approximation of the Willmore flow. Zbl 1468.35240 Rätz, Andreas; Röger, Matthias 2 2021 Erratum to: Turing instabilities in a mathematical model for signaling networks. Zbl 1311.92065 Rätz, Andreas; Röger, Matthias 2 2013 A new diffuse-interface approximation of the Willmore flow. Zbl 1468.35240 Rätz, Andreas; Röger, Matthias 2 2021 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 15 2016 A benchmark for the surface Cahn-Hilliard equation. Zbl 1381.35251 Rätz, Andreas 3 2016 Diffuse-interface approximations of osmosis free boundary problems. Zbl 1338.35509 Rätz, Andreas 3 2016 Turing-type instabilities in bulk-surface reaction-diffusion systems. Zbl 1402.92156 Rätz, Andreas 5 2015 A new diffuse-interface model for step flow in epitaxial growth. Zbl 1333.35211 Rätz, Andreas 3 2015 Symmetry breaking in a bulk-surface reaction-diffusion model for signalling networks. Zbl 1301.92025 Rätz, Andreas; Röger, Matthias 35 2014 Hysteresis models and gravity fingering in porous media. Zbl 1297.76168 Rätz, Andreas; Schweizer, Ben 11 2014 Colliding interfaces in old and new diffuse-interface approximations of Willmore-flow. Zbl 1297.49044 Esedoḡlu, Selim; Rätz, Andreas; Röger, Matthias 8 2014 Two-phase flow equations with a dynamic capillary pressure. Zbl 1261.76052 Koch, Jan; Rätz, Andreas; Schweizer, Ben 22 2013 Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014 Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel 9 2013 Erratum to: Turing instabilities in a mathematical model for signaling networks. Zbl 1311.92065 Rätz, Andreas; Röger, Matthias 2 2013 Turing instabilities in a mathematical model for signaling networks. Zbl 1252.92018 Rätz, Andreas; Röger, Matthias 33 2012 Buckling instability of viral capsids – a continuum approach. Zbl 1402.92325 Aland, Sebastian; Rätz, Andreas; Röger, Matthias; Voigt, Axel 4 2012 A well-posed hysteresis model for flows in porous media and applications to fingering effects. Zbl 1258.76155 Lamacz, Agnes; Rätz, Andreas; Schweizer, Ben 9 2011 Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027 Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A. 76 2009 Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062 Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel 17 2009 Extracting grain boundaries and macroscopic deformations from images on atomic scale. Zbl 1203.65039 Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel 11 2008 A diffuse-interface approximation for surface diffusion including adatoms. Zbl 1117.35315 Rätz, Andreas; Voigt, A. 11 2007 PDE’s on surfaces – a diffusive interface approach. Zbl 1113.35092 Rätz, Andreas; Voigt, Axel 58 2006 Surface evolution of elastically stressed films under deposition by a diffuse interface model. Zbl 1088.74035 Rätz, Andreas; Ribalta, Angel; Voigt, Axel 30 2006 A diffuse-interface approximation for step flow in epitaxial growth. Zbl 1070.82033 Otto, Felix; Penzler, Patrick; Rätz, Andreas; Rump, Tobias; Voigt, Axel 7 2004 Stability of a circular epitaxial island. Zbl 1086.35109 Li, Bo; Rätz, Andreas; Voigt, Axel 2 2004 all cited Publications top 5 cited Publications all top 5 Cited by 481 Authors 24 Voigt, Axel 17 Lowengrub, John Samuel 9 Pop, Iuliu Sorin 7 Nitschke, Ingo 6 Abels, Helmut 6 Aland, Sebastian 6 Elliott, Charles M. 6 Röger, Matthias 6 Wise, Steven M. 5 Praetorius, Simon 5 Rohde, Christian 4 Garcke, Harald 4 Gómez, Daniel Armando 4 Hausser, Frank 4 Jiang, Wei 4 Kim, Junseok 4 Madzvamuse, Anotida 4 Mitra, Koondanibha 4 Morini, Massimiliano 4 Münch, Andreas 4 Olshanskii, Maxim A. 4 Rabczuk, Timon 4 Rätz, Andreas 4 Reuther, Sebastian 4 Schillinger, Dominik 3 Abreu, Eduardo 3 Armiti-Juber, Alaa 3 Bretin, Elie 3 Bringedal, Carina 3 Burger, Martin 3 Chen, Ying 3 Du, Qiang 3 Fonseca, Irene 3 Fusco, Nicola 3 Gómez, Héctor J. 3 Guo, Zhenlin 3 Kampmann, Johannes 3 Lai, Mingchih 3 Lam, Kei Fong 3 Leoni, Giovanni 3 Li, Shuwang 3 Lo, Wing-Cheong 3 Lu, Jianfeng 3 Masnou, Simon 3 Nestler, Michael 3 Schlottbom, Matthias 3 Schweizer, Ben 3 Sharma, Vandana 3 Stinner, Bjorn 3 Styles, Vanessa 3 Valizadeh, Navid 3 van Duijn, Cornelis Johannes 3 Ward, Michael J. 3 Wei, Juncheng 3 Wirth, Benedikt 3 Yang, Haizhao 3 Zhao, Quan 2 Ardekani, Arezoo M. 2 Bachini, Elena 2 Bäcker, Jan-Phillip 2 Bao, Weizhu 2 Belliard, Michel 2 Bouadjila, Khaled 2 Brandner, Philip 2 Burns, Keaton J. 2 Caroccia, Marco 2 Colli, Pierluigi 2 Cristoferi, Riccardo 2 Dede’, Luca 2 Dehghan Takht Fooladi, Mehdi 2 Elsey, Matthew 2 Elvetun, Ole Løseth 2 Ferraz, Paola 2 Frittelli, Massimo 2 Fukao, Takeshi 2 Gaffney, Eamonn A. 2 Ganapathysubramanian, Baskar 2 Hester, Eric W. 2 Huang, Ziyang 2 Jankuhn, Thomas 2 Ju, Lili 2 Julin, Vesa 2 Knopf, Patrik 2 Koren, Barry 2 Krause, Andrew L. 2 Kutter, Michael 2 Lantarón, Sagrario 2 Larson, Mats G. 2 Lee, Sungrim Seirin 2 Li, Yibao 2 Lin, Guang 2 Liu, Chun 2 Liu, Yue 2 Llanas, Bernardo 2 Lunowa, Stephan Benjamin 2 Mackenzie, John A. 2 Marth, Wieland 2 Mohammadi, Vahid 2 Morgan, Jeff J. 2 Morita, Yoshihisa ...and 381 more Authors all top 5 Cited in 91 Serials 37 Journal of Computational Physics 20 Computer Methods in Applied Mechanics and Engineering 8 Computers & Mathematics with Applications 8 Journal of Fluid Mechanics 7 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Biology 6 Journal of Scientific Computing 6 SIAM Journal on Scientific Computing 6 Multiscale Modeling & Simulation 5 Bulletin of Mathematical Biology 5 Journal of Computational and Applied Mathematics 5 Journal of Differential Equations 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Mathematical Analysis 5 Advances in Computational Mathematics 4 Numerische Mathematik 4 SIAM Journal on Applied Mathematics 4 Journal of Nonlinear Science 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Computers and Fluids 3 Nonlinearity 3 International Journal for Numerical Methods in Engineering 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Physica D 3 Applied Numerical Mathematics 3 Computational Geosciences 3 Nonlinear Analysis. Real World Applications 3 SIAM Journal on Applied Dynamical Systems 3 Communications in Computational Physics 3 Journal of Theoretical Biology 2 Applicable Analysis 2 Inverse Problems 2 Mathematics of Computation 2 Computational Mechanics 2 Applied Mathematics Letters 2 European Journal of Applied Mathematics 2 Continuum Mechanics and Thermodynamics 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematical Modelling of Natural Phenomena 2 SIAM Journal on Imaging Sciences 2 Discrete and Continuous Dynamical Systems. Series S 1 Modern Physics Letters B 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Applications of Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 NoDEA. Nonlinear Differential Equations and Applications 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Analysis (München) 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 International Journal of Computational Methods 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 GAMM-Mitteilungen 1 Inverse Problems and Imaging 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 Molecular Based Mathematical Biology 1 European Mathematical Society Magazine all top 5 Cited in 26 Fields 147 Partial differential equations (35-XX) 125 Numerical analysis (65-XX) 96 Fluid mechanics (76-XX) 57 Mechanics of deformable solids (74-XX) 49 Biology and other natural sciences (92-XX) 21 Statistical mechanics, structure of matter (82-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 10 Global analysis, analysis on manifolds (58-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Differential geometry (53-XX) 5 Computer science (68-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Functional analysis (46-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Citations by Year