×
Author ID: ratz.andreas Recent zbMATH articles by "Rätz, Andreas"
Published as: Rätz, Andreas; Ratz, Andreas; Rätz, A.
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

Publications by Year

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 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

Citations by Year