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Author ID: prohl.andreas Recent zbMATH articles by "Prohl, Andreas"
Published as: Prohl, Andreas; Prohl, A.
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Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,597 times in 1,065 Documents Cited by Year
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
181
2003
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Zbl 1071.65128
Feng, Xiaobing; Prohl, Andreas
104
2004
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
98
2008
Recent developments in the modeling, analysis, and numerics of ferromagnetism. Zbl 1126.49040
Kružík, Martin; Prohl, Andreas
91
2006
Projection and quasi-compressibility methods for solving the incompressible Navier-Stokes equations. Zbl 0874.76002
Prohl, Andreas
80
1997
Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088
Bartels, Sören; Prohl, Andreas
64
2006
Computational micromagnetism. Zbl 0988.78001
Prohl, Andreas
59
2001
Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. Zbl 1187.82130
Becker, Roland; Feng, Xiaobing; Prohl, Andreas
56
2008
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Zbl 1115.76049
Feng, Xiaobing; Prohl, Andreas
46
2004
Convergent discretizations for the Nernst-Planck-Poisson system. Zbl 1178.65106
Prohl, Andreas; Schmuck, Markus
46
2009
Finite-element-based discretizations of the incompressible Navier-Stokes equations with multiplicative random forcing. Zbl 1426.76227
Brzeźniak, Zdzislaw; Carelli, Erich; Prohl, Andreas
38
2013
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150
Feng, Xiaobing; Prohl, Andreas
38
2005
Rates of convergence for discretizations of the stochastic incompressible Navier-Stokes equations. Zbl 1426.76231
Carelli, Erich; Prohl, Andreas
34
2012
Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1247.76052
Prohl, Andreas; Schmuck, Markus
32
2010
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043
Bartels, Sören; Ko, Joy; Prohl, Andreas
30
2008
Analysis of total variation flow and its finite element approximations. Zbl 1050.35004
Feng, Xiaobing; Prohl, Andreas
28
2003
On pressure approximation via projection methods for nonstationary incompressible Navier-Stokes equations. Zbl 1391.76566
Prohl, Andreas
26
2009
Stochastic ferromagnetism. Analysis and numerics. Zbl 1288.82001
Baňas, Ľubomír; Brzeźniak, Zdzisław; Neklyudov, Mikhail; Prohl, Andreas
26
2014
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089
Bartels, Sören; Prohl, Andreas
26
2007
A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321
Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas
25
2008
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
25
2018
A convergent finite-element-based discretization of the stochastic Landau-Lifshitz-Gilbert equation. Zbl 1298.65012
Baňas, Ľubomír; Brzeźniak, Zdzislaw; Neklyudov, Mikhail; Prohl, Andreas
23
2014
Time-splitting methods to solve the stochastic incompressible Stokes equation. Zbl 1262.60065
Carelli, Erich; Hausenblas, Erika; Prohl, Andreas
20
2012
The forward-backward stochastic heat equation: numerical analysis and simulation. Zbl 1346.60106
Dunst, Thomas; Prohl, Andreas
20
2016
Semi-implicit Euler scheme for generalized Newtonian fluids. Zbl 1388.76014
Diening, Lars; Prohl, Andreas; Růžička, Michael
17
2006
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. Zbl 1273.76264
Banas, Ľubomír; Prohl, Andreas
16
2010
A convergent and constraint-preserving finite element method for the \(p\)-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
16
2007
Young measure approximation in micromagnetics. Zbl 0994.65078
Kružík, Martin; Prohl, Andreas
15
2001
Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Zbl 1075.65114
Feng, Xiaobing; von Oehsen, Markus; Prohl, Andreas
15
2005
Computational studies for the stochastic Landau-Lifshitz-Gilbert equation. Zbl 1302.65024
Baňas, Ľubomír; Brzeźniak, Zdzislaw; Prohl, Andreas
13
2013
Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension. Zbl 1267.76019
Braack, Malte; Prohl, Andreas
13
2013
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178
Bartels, Sören; Lubich, Christian; Prohl, Andreas
13
2009
Numerical analysis of relaxed micromagnetics by penalised finite elements. Zbl 1004.78006
Carstensen, Carsten; Prohl, Andreas
12
2001
Optimally convergent mixed finite element methods for the stochastic Stokes equations. Zbl 1492.65022
Feng, Xiaobing; Prohl, Andreas; Vo, Liet
12
2021
Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006
Feng, Xiaobing; Li, Yukun; Prohl, Andreas
12
2014
Approximate Euler method for parabolic stochastic partial differential equations driven by space-time Lévy noise. Zbl 1262.60066
Dunst, Thomas; Hausenblas, Erika; Prohl, Andreas
11
2012
Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012
Chen, Chuchu; Hong, Jialin; Prohl, Andreas
11
2016
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
10
2006
Modeling of thermally assisted magnetodynamics. Zbl 1192.74102
Baňas, Ľubomír; Prohl, Andreas; Slodička, Marián
10
2009
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. Zbl 1201.35146
Haehnle, Jonas; Prohl, Andreas
9
2010
On fully implicit space-time discretization for motions of incompressible fluids with shear-dependent viscosities: The case \(p \leq 2 \). Zbl 1008.76047
Prohl, Andreas; Ruzicka, Michael
9
2001
On \(p\)-harmonic map heat flows for \(1\leq p<\infty\) and their finite element approximations. Zbl 1182.35154
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
8
2008
Convergence analysis for incompressible generalized Newtonian fluid flows with nonstandard anisotropic growth conditions. Zbl 1428.35347
Carelli, Erich; Haehnle, Jonas; Prohl, Andreas
8
2010
Finite element approximations of wave maps into spheres. Zbl 1160.65050
Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
8
2008
Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S.
7
1995
Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044
Bartels, Sören; Prohl, Andreas
7
2004
Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017
Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A.
7
2004
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106
Feng, Xiaobing; Prohl, Andreas
7
2004
Numerical analysis for nematic electrolytes. Zbl 07528302
Baňas, Ľubomír; Lasarzik, Robert; Prohl, Andreas
7
2021
Convergence of a finite element-based space-time discretization in elastodynamics. Zbl 1260.74030
Prohl, Andreas
7
2008
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Zbl 1134.65078
Feng, Xiaobing; Neilan, Michael; Prohl, Andreas
7
2007
Stabilization methods in relaxed micromagnetism. Zbl 1079.78031
Funken, Stefan A.; Prohl, Andreas
6
2005
Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Zbl 1468.65133
Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas
6
2021
Strong rates of convergence for a space-time discretization of the backward stochastic heat equation, and of a linear-quadratic control problem for the stochastic heat equation. Zbl 1467.60050
Prohl, Andreas; Wang, Yanqing
6
2021
The role of noise in finite ensembles of nanomagnetic particles. Zbl 1295.78005
Neklyudov, Mikhail; Prohl, Andreas
6
2013
Optimal control in evolutionary micromagnetism. Zbl 1342.78005
Dunst, Thomas; Klein, Markus; Prohl, Andreas; Schäfer, Ailyn
5
2015
Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres. Zbl 1155.65068
Bartels, Sören; Prohl, Andreas
5
2008
Control of interface evolution in multiphase fluid flows. Zbl 1374.35302
Baňas, Ľubomír; Klein, Markus; Prohl, Andreas
5
2014
Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. Zbl 1203.65174
Baňas, Ľubomír; Prohl, Andreas; Schätzle, Reiner
4
2010
On time discretizations for generalized Newtonian fluids. Zbl 1037.76002
Diening, Lars; Prohl, Andreas; Růžička, Michael
4
2002
A discontinuous finite element method for solving a multiwell problem. Zbl 0957.49019
Gobbert, Matthias K.; Prohl, Andreas
4
1999
A comparison of classical and new finite element methods for the computation of laminate microstructure. Zbl 1010.74063
Gobbert, Matthias K.; Prohl, Andreas
4
2001
On stochastic optimal control in ferromagnetism. Zbl 1419.82072
Dunst, Thomas; Majee, Ananta K.; Prohl, Andreas; Vallet, Guy
4
2019
Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011
Bartels, Sören; Prohl, Andreas
3
2007
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere. Zbl 1363.58015
Baňas, Ľubomír; Brzeźniak, Zdzisław; Neklyudov, Mikhail; Ondreját, Martin; Prohl, Andreas
3
2015
Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise. Zbl 1505.65267
Prohl, Andreas; Wang, Yanqing
3
2022
Adaptive concepts for stochastic partial differential equations. Zbl 1418.60084
Prohl, Andreas; Schellnegger, Christian
3
2019
Stochastic optimal control of finite ensembles of nanomagnets. Zbl 06858877
Dunst, Thomas; Prohl, Andreas
2
2018
Domain decomposition strategies for the stochastic heat equation. Zbl 1261.65008
Carelli, Erich; Müller, Alexander; Prohl, Andreas
2
2012
A first order projection-based time-splitting scheme for computing chemically reacting flows. Zbl 0944.65106
Prohl, Andreas
2
2000
A posteriori error estimation and space-time adaptivity for a linear stochastic PDE with additive noise. Zbl 07524724
Majee, Ananta K.; Prohl, Andreas
2
2022
Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording. Zbl 1250.78036
Baňas, Ľubomír; Prohl, Andreas; Slodička, Marián
2
2012
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems. Zbl 1491.65016
Merle, Fabian; Prohl, Andreas
2
2021
Numerical approximation of nonlinear SPDE’s. Zbl 1537.60082
Ondreját, Martin; Prohl, Andreas; Walkington, Noel J.
2
2023
Optimal control for a coupled spin-polarized current and magnetization system. Zbl 1493.35112
An, Xin; Majee, Ananta K.; Prohl, Andreas; Tran, Thanh
2
2022
Macroscopic modeling of magnetic hysteresis. Zbl 1105.74034
Kružík, Martin; Prohl, Andreas
1
2004
An adaptive finite element method for solving a double well problem describing crystalline microstructure. Zbl 0956.74064
Prohl, Andreas
1
1999
On the pollution effect of quasi-compressibility methods in magnetohydrodynamics and reactive flows. Zbl 0937.76070
Prohl, Andreas
1
1999
Optimal control for two-phase flows. Zbl 1327.49005
Braack, Malte; Klein, Markus; Prohl, Andreas; Tews, Benjamin
1
2014
Optimal control for the thin film equation: convergence of a multi-parameter approach to track state constraints avoiding degeneracies. Zbl 1365.35083
Klein, Markus; Prohl, Andreas
1
2016
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation. Zbl 1467.60046
De Bouard, Anne; Hocquet, Antoine; Prohl, Andreas
1
2021
Numerical analysis of two-dimensional Navier-Stokes equations with additive stochastic forcing. Zbl 07726037
Breit, Dominic; Prohl, Andreas
1
2023
Numerical approximation of nonlinear SPDE’s. Zbl 1537.60082
Ondreját, Martin; Prohl, Andreas; Walkington, Noel J.
2
2023
Numerical analysis of two-dimensional Navier-Stokes equations with additive stochastic forcing. Zbl 07726037
Breit, Dominic; Prohl, Andreas
1
2023
Strong error estimates for a space-time discretization of the linear-quadratic control problem with the stochastic heat equation with linear noise. Zbl 1505.65267
Prohl, Andreas; Wang, Yanqing
3
2022
A posteriori error estimation and space-time adaptivity for a linear stochastic PDE with additive noise. Zbl 07524724
Majee, Ananta K.; Prohl, Andreas
2
2022
Optimal control for a coupled spin-polarized current and magnetization system. Zbl 1493.35112
An, Xin; Majee, Ananta K.; Prohl, Andreas; Tran, Thanh
2
2022
Optimally convergent mixed finite element methods for the stochastic Stokes equations. Zbl 1492.65022
Feng, Xiaobing; Prohl, Andreas; Vo, Liet
12
2021
Numerical analysis for nematic electrolytes. Zbl 07528302
Baňas, Ľubomír; Lasarzik, Robert; Prohl, Andreas
7
2021
Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Zbl 1468.65133
Antonopoulou, Dimitra; Baňas, Ľubomír; Nürnberg, Robert; Prohl, Andreas
6
2021
Strong rates of convergence for a space-time discretization of the backward stochastic heat equation, and of a linear-quadratic control problem for the stochastic heat equation. Zbl 1467.60050
Prohl, Andreas; Wang, Yanqing
6
2021
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems. Zbl 1491.65016
Merle, Fabian; Prohl, Andreas
2
2021
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation. Zbl 1467.60046
De Bouard, Anne; Hocquet, Antoine; Prohl, Andreas
1
2021
On stochastic optimal control in ferromagnetism. Zbl 1419.82072
Dunst, Thomas; Majee, Ananta K.; Prohl, Andreas; Vallet, Guy
4
2019
Adaptive concepts for stochastic partial differential equations. Zbl 1418.60084
Prohl, Andreas; Schellnegger, Christian
3
2019
Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise. Zbl 1404.65178
Majee, Ananta K.; Prohl, Andreas
25
2018
Stochastic optimal control of finite ensembles of nanomagnets. Zbl 06858877
Dunst, Thomas; Prohl, Andreas
2
2018
The forward-backward stochastic heat equation: numerical analysis and simulation. Zbl 1346.60106
Dunst, Thomas; Prohl, Andreas
20
2016
Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise. Zbl 1362.65012
Chen, Chuchu; Hong, Jialin; Prohl, Andreas
11
2016
Optimal control for the thin film equation: convergence of a multi-parameter approach to track state constraints avoiding degeneracies. Zbl 1365.35083
Klein, Markus; Prohl, Andreas
1
2016
Optimal control in evolutionary micromagnetism. Zbl 1342.78005
Dunst, Thomas; Klein, Markus; Prohl, Andreas; Schäfer, Ailyn
5
2015
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere. Zbl 1363.58015
Baňas, Ľubomír; Brzeźniak, Zdzisław; Neklyudov, Mikhail; Ondreját, Martin; Prohl, Andreas
3
2015
Stochastic ferromagnetism. Analysis and numerics. Zbl 1288.82001
Baňas, Ľubomír; Brzeźniak, Zdzisław; Neklyudov, Mikhail; Prohl, Andreas
26
2014
A convergent finite-element-based discretization of the stochastic Landau-Lifshitz-Gilbert equation. Zbl 1298.65012
Baňas, Ľubomír; Brzeźniak, Zdzislaw; Neklyudov, Mikhail; Prohl, Andreas
23
2014
Finite element approximations of the stochastic mean curvature flow of planar curves of graphs. Zbl 1300.65006
Feng, Xiaobing; Li, Yukun; Prohl, Andreas
12
2014
Control of interface evolution in multiphase fluid flows. Zbl 1374.35302
Baňas, Ľubomír; Klein, Markus; Prohl, Andreas
5
2014
Optimal control for two-phase flows. Zbl 1327.49005
Braack, Malte; Klein, Markus; Prohl, Andreas; Tews, Benjamin
1
2014
Finite-element-based discretizations of the incompressible Navier-Stokes equations with multiplicative random forcing. Zbl 1426.76227
Brzeźniak, Zdzislaw; Carelli, Erich; Prohl, Andreas
38
2013
Computational studies for the stochastic Landau-Lifshitz-Gilbert equation. Zbl 1302.65024
Baňas, Ľubomír; Brzeźniak, Zdzislaw; Prohl, Andreas
13
2013
Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension. Zbl 1267.76019
Braack, Malte; Prohl, Andreas
13
2013
The role of noise in finite ensembles of nanomagnetic particles. Zbl 1295.78005
Neklyudov, Mikhail; Prohl, Andreas
6
2013
Rates of convergence for discretizations of the stochastic incompressible Navier-Stokes equations. Zbl 1426.76231
Carelli, Erich; Prohl, Andreas
34
2012
Time-splitting methods to solve the stochastic incompressible Stokes equation. Zbl 1262.60065
Carelli, Erich; Hausenblas, Erika; Prohl, Andreas
20
2012
Approximate Euler method for parabolic stochastic partial differential equations driven by space-time Lévy noise. Zbl 1262.60066
Dunst, Thomas; Hausenblas, Erika; Prohl, Andreas
11
2012
Domain decomposition strategies for the stochastic heat equation. Zbl 1261.65008
Carelli, Erich; Müller, Alexander; Prohl, Andreas
2
2012
Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording. Zbl 1250.78036
Baňas, Ľubomír; Prohl, Andreas; Slodička, Marián
2
2012
Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system. Zbl 1247.76052
Prohl, Andreas; Schmuck, Markus
32
2010
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. Zbl 1273.76264
Banas, Ľubomír; Prohl, Andreas
16
2010
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. Zbl 1201.35146
Haehnle, Jonas; Prohl, Andreas
9
2010
Convergence analysis for incompressible generalized Newtonian fluid flows with nonstandard anisotropic growth conditions. Zbl 1428.35347
Carelli, Erich; Haehnle, Jonas; Prohl, Andreas
8
2010
Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. Zbl 1203.65174
Baňas, Ľubomír; Prohl, Andreas; Schätzle, Reiner
4
2010
Convergent discretizations for the Nernst-Planck-Poisson system. Zbl 1178.65106
Prohl, Andreas; Schmuck, Markus
46
2009
On pressure approximation via projection methods for nonstationary incompressible Navier-Stokes equations. Zbl 1391.76566
Prohl, Andreas
26
2009
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Zbl 1198.65178
Bartels, Sören; Lubich, Christian; Prohl, Andreas
13
2009
Modeling of thermally assisted magnetodynamics. Zbl 1192.74102
Baňas, Ľubomír; Prohl, Andreas; Slodička, Marián
10
2009
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
98
2008
Finite element approximations of the Ericksen-Leslie model for nematic liquid crystal flow. Zbl 1187.82130
Becker, Roland; Feng, Xiaobing; Prohl, Andreas
56
2008
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Zbl 1140.82043
Bartels, Sören; Ko, Joy; Prohl, Andreas
30
2008
A convergent implicit finite element discretization of the Maxwell – Landau – Lifshitz – Gilbert equation. Zbl 1173.35321
Baňas, Ľubomír; Bartels, Sören; Prohl, Andreas
25
2008
On \(p\)-harmonic map heat flows for \(1\leq p<\infty\) and their finite element approximations. Zbl 1182.35154
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
8
2008
Finite element approximations of wave maps into spheres. Zbl 1160.65050
Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
8
2008
Convergence of a finite element-based space-time discretization in elastodynamics. Zbl 1260.74030
Prohl, Andreas
7
2008
Convergence of an implicit, constraint preserving finite element discretization of \(p\)-harmonic heat flow into spheres. Zbl 1155.65068
Bartels, Sören; Prohl, Andreas
5
2008
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Zbl 1124.65089
Bartels, Sören; Prohl, Andreas
26
2007
A convergent and constraint-preserving finite element method for the \(p\)-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
16
2007
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Zbl 1134.65078
Feng, Xiaobing; Neilan, Michael; Prohl, Andreas
7
2007
Stable discretization of scalar and constrained vectorial Perona-Malik equation. Zbl 1147.35011
Bartels, Sören; Prohl, Andreas
3
2007
Recent developments in the modeling, analysis, and numerics of ferromagnetism. Zbl 1126.49040
Kružík, Martin; Prohl, Andreas
91
2006
Convergence of an implicit finite element method for the Landau-Lifshitz-Gilbert equation. Zbl 1124.65088
Bartels, Sören; Prohl, Andreas
64
2006
Semi-implicit Euler scheme for generalized Newtonian fluids. Zbl 1388.76014
Diening, Lars; Prohl, Andreas; Růžička, Michael
17
2006
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
10
2006
Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem. Zbl 1072.35150
Feng, Xiaobing; Prohl, Andreas
38
2005
Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Zbl 1075.65114
Feng, Xiaobing; von Oehsen, Markus; Prohl, Andreas
15
2005
Stabilization methods in relaxed micromagnetism. Zbl 1079.78031
Funken, Stefan A.; Prohl, Andreas
6
2005
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Zbl 1071.65128
Feng, Xiaobing; Prohl, Andreas
104
2004
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Zbl 1115.76049
Feng, Xiaobing; Prohl, Andreas
46
2004
Multiscale resolution in the computation of crystalline microstructure. Zbl 1098.74044
Bartels, Sören; Prohl, Andreas
7
2004
Convergence for stabilisation of degenerately convex minimisation problems. Zbl 1076.49017
Bartels, S.; Carstensen, C.; Plecháč, P.; Prohl, A.
7
2004
Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting. Zbl 1074.65106
Feng, Xiaobing; Prohl, Andreas
7
2004
Macroscopic modeling of magnetic hysteresis. Zbl 1105.74034
Kružík, Martin; Prohl, Andreas
1
2004
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Zbl 1029.65093
Feng, Xiaobing; Prohl, Andreas
181
2003
Analysis of total variation flow and its finite element approximations. Zbl 1050.35004
Feng, Xiaobing; Prohl, Andreas
28
2003
On time discretizations for generalized Newtonian fluids. Zbl 1037.76002
Diening, Lars; Prohl, Andreas; Růžička, Michael
4
2002
Computational micromagnetism. Zbl 0988.78001
Prohl, Andreas
59
2001
Young measure approximation in micromagnetics. Zbl 0994.65078
Kružík, Martin; Prohl, Andreas
15
2001
Numerical analysis of relaxed micromagnetics by penalised finite elements. Zbl 1004.78006
Carstensen, Carsten; Prohl, Andreas
12
2001
On fully implicit space-time discretization for motions of incompressible fluids with shear-dependent viscosities: The case \(p \leq 2 \). Zbl 1008.76047
Prohl, Andreas; Ruzicka, Michael
9
2001
A comparison of classical and new finite element methods for the computation of laminate microstructure. Zbl 1010.74063
Gobbert, Matthias K.; Prohl, Andreas
4
2001
A first order projection-based time-splitting scheme for computing chemically reacting flows. Zbl 0944.65106
Prohl, Andreas
2
2000
A discontinuous finite element method for solving a multiwell problem. Zbl 0957.49019
Gobbert, Matthias K.; Prohl, Andreas
4
1999
An adaptive finite element method for solving a double well problem describing crystalline microstructure. Zbl 0956.74064
Prohl, Andreas
1
1999
On the pollution effect of quasi-compressibility methods in magnetohydrodynamics and reactive flows. Zbl 0937.76070
Prohl, Andreas
1
1999
Projection and quasi-compressibility methods for solving the incompressible Navier-Stokes equations. Zbl 0874.76002
Prohl, Andreas
80
1997
Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S.
7
1995
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Cited by 1,408 Authors

43 Yang, Xiaofeng
36 Prohl, Andreas
26 Bartels, Sören
25 He, Yinnian
20 Feng, Xiaobing
20 Shen, Jie
19 Wang, Cheng
17 Baňas, Ľubomír
17 Guillén González, Francisco M.
17 Praetorius, Dirk
16 Zhang, Guodong
15 Kim, Junseok
14 Feng, Xinlong
14 Nochetto, Ricardo Horacio
13 An, Rong
13 Huang, Yunqing
12 Chen, Jingrun
12 Li, Yukun
11 He, Xiaoming
11 Lasarzik, Robert
11 Ruggeri, Michele
10 Huang, Pengzhan
10 Liu, Chun
10 Mao, Shipeng
10 Wise, Steven M.
9 Hong, Jialin
9 Ju, Lili
9 Xu, Chuanju
9 Zhao, Jia
8 Cai, Yongyong
8 Carstensen, Carsten
8 Chen, Chuanjun
8 Cimrák, Ivan
8 Ding, Qianqian
8 Jentzen, Arnulf
8 Li, Buyang
8 Li, Zhiping
8 Majee, Ananta K.
8 Olshanskii, Maxim A.
8 Roubíček, Tomáš
7 Brzeźniak, Zdzisław
7 Gutiérrez-Santacreu, Juan Vicente
7 Lee, Hyun Geun
7 Li, Yuan
7 Pan, Kejia
7 Qiu, Hailong
7 Rebholz, Leo Gregory
7 Rueda-Gómez, Diego Armando
7 Růžička, Michael
7 Walker, Shawn W.
6 Cui, Jianbo
6 Du, Qiang
6 Du, Rui
6 Dubey, Shruti A.
6 Dwivedi, Sharad
6 He, Dongdong
6 Jeong, Darae
6 Jiang, Yaolin
6 Kružík, Martin
6 Layton, William J.
6 Long, Xiaonian
6 Nürnberg, Robert
6 Salgado, Abner J.
6 Sander, Oliver
6 Su, Haiyan
6 Tierra, Giordano
6 Tilioua, Mouhcine
6 Tran, Thanh
6 Wang, Danxia
6 Wang, Qi
6 Xu, Jinchao
6 Zhang, Hui
6 Zhang, Jun
6 Zhang, Tong
6 Zou, Guang’an
5 Bessaih, Hakima
5 Breit, Dominic
5 Chen, Wenbin
5 Dong, Xiaojing
5 Feischl, Michael
5 Gao, Huadong
5 Hutzenthaler, Martin
5 Jia, Hongen
5 Kou, Jisheng
5 Le, Kim-Ngan
5 Lee, Chaeyoung
5 Li, Yibao
5 Lin, Ping
5 Liu, Zhihui
5 Millet, Annie
5 Neilan, Michael
5 Pfeiler, Carl-Martin
5 Qian, Xu
5 Qian, Yanxia
5 Qiao, Zhonghua
5 Shi, Dongyang
5 Slodička, Marián
5 Song, Songhe
5 Sun, Pengtao
5 Sun, Shuyu
...and 1,308 more Authors
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Cited in 191 Serials

82 Journal of Scientific Computing
67 Journal of Computational Physics
51 Journal of Computational and Applied Mathematics
47 Computers & Mathematics with Applications
45 Computer Methods in Applied Mechanics and Engineering
43 Applied Numerical Mathematics
41 Numerische Mathematik
40 SIAM Journal on Numerical Analysis
30 Mathematics of Computation
24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 Advances in Computational Mathematics
22 SIAM Journal on Scientific Computing
21 Journal of Mathematical Analysis and Applications
17 Numerical Methods for Partial Differential Equations
16 Mathematical Methods in the Applied Sciences
16 Stochastic and Partial Differential Equations. Analysis and Computations
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 Communications in Computational Physics
14 Applied Mathematics and Computation
14 Communications in Nonlinear Science and Numerical Simulation
10 Computer Physics Communications
10 Journal of Differential Equations
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Numerical Algorithms
9 Mathematics and Computers in Simulation
9 Computational Methods in Applied Mathematics
8 Computers and Fluids
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 International Journal for Numerical Methods in Engineering
7 Journal of Evolution Equations
6 Archive for Rational Mechanics and Analysis
6 BIT
6 Applied Mathematics Letters
6 SIAM Journal on Mathematical Analysis
6 Journal of Mathematical Fluid Mechanics
6 Discrete and Continuous Dynamical Systems. Series S
5 Inverse Problems
5 Numerical Functional Analysis and Optimization
5 Computational Mechanics
5 Computational and Applied Mathematics
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Archives of Computational Methods in Engineering
5 Discrete and Continuous Dynamical Systems. Series B
4 Calcolo
4 Journal of Computational Mathematics
4 Physica D
4 International Journal of Computer Mathematics
4 SIAM Journal on Applied Mathematics
4 Journal of Mathematical Imaging and Vision
4 Discrete and Continuous Dynamical Systems
4 Computing and Visualization in Science
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 Journal of Numerical Mathematics
4 International Journal of Numerical Analysis and Modeling
4 Journal of Applied Analysis and Computation
4 AIMS Mathematics
3 Nonlinearity
3 Computing
3 Japan Journal of Industrial and Applied Mathematics
3 Applications of Mathematics
3 Applied Mathematical Modelling
3 Journal of Elasticity
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Mathematical Problems in Engineering
3 Communications on Pure and Applied Analysis
3 SIAM Journal on Imaging Sciences
3 Advances in Applied Mathematics and Mechanics
3 Science China. Mathematics
2 Applicable Analysis
2 Communications in Mathematical Physics
2 International Journal for Numerical Methods in Fluids
2 Journal of Engineering Mathematics
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Physica A
2 Bulletin of Mathematical Biology
2 Applied Mathematics and Optimization
2 Journal of Functional Analysis
2 Quarterly of Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Stochastic Analysis and Applications
2 Acta Applicandae Mathematicae
2 European Journal of Applied Mathematics
2 Stochastic Processes and their Applications
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Potential Analysis
2 Computational Optimization and Applications
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Engineering Analysis with Boundary Elements
2 European Journal of Mechanics. B. Fluids
2 Interfaces and Free Boundaries
2 Nonlinear Analysis. Real World Applications
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Computational Methods
2 Boundary Value Problems
2 Inverse Problems and Imaging
...and 91 more Serials
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Cited in 40 Fields

786 Numerical analysis (65-XX)
627 Partial differential equations (35-XX)
383 Fluid mechanics (76-XX)
140 Probability theory and stochastic processes (60-XX)
120 Statistical mechanics, structure of matter (82-XX)
110 Optics, electromagnetic theory (78-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
70 Mechanics of deformable solids (74-XX)
38 Biology and other natural sciences (92-XX)
26 Classical thermodynamics, heat transfer (80-XX)
16 Systems theory; control (93-XX)
14 Information and communication theory, circuits (94-XX)
13 Computer science (68-XX)
12 Differential geometry (53-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Ordinary differential equations (34-XX)
10 Real functions (26-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Operator theory (47-XX)
9 Functional analysis (46-XX)
9 Operations research, mathematical programming (90-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
4 Statistics (62-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)

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