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ORCIDAndreas Prohl
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2020 – today
- 2024
[j50]Dominic Breit, Andreas Prohl:
Error Analysis for 2D Stochastic Navier-Stokes Equations in Bounded Domains with Dirichlet Data. Found. Comput. Math. 24(5): 1643-1672 (2024)- [i11]Max Jensen, Fabian Merle, Andreas Prohl:
Data-dependent density estimation for the Fokker-Planck equation in higher dimensions. CoRR abs/2401.14685 (2024) - 2023
- [j49]Fabian Merle, Andreas Prohl:
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems. Numerische Mathematik 153(4): 827-884 (2023) - [i10]Dominic Breit, Thamsanqa Castern Moyo, Andreas Prohl:
Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise. CoRR abs/2305.10999 (2023) - 2022
- [j48]Xin An, Ananta K. Majee, Andreas Prohl, Thanh Tran:
Optimal control for a coupled spin-polarized current and magnetization system. Adv. Comput. Math. 48(3): 28 (2022) - [i9]Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl:
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise. CoRR abs/2205.07393 (2022) - [i8]Dominic Breit, Andreas Prohl:
Weak error analysis for the stochastic Allen-Cahn equation. CoRR abs/2210.02051 (2022) - 2021
- [j47]Dimitra Antonopoulou, Lubomír Bañas, Robert Nürnberg
, Andreas Prohl:
Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. Numerische Mathematik 147(3): 505-551 (2021) - [j46]Fabian Merle, Andreas Prohl:
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems. Numerische Mathematik 149(2): 417-462 (2021) - [i7]Dominic Breit, Andreas Prohl:
Error analysis for 2D stochastic Navier-Stokes equations in bounded domains. CoRR abs/2109.06495 (2021) - [i6]Dominic Breit, Andreas Prohl:
Numerical analysis of 2D Navier-Stokes equations with additive stochastic forcing. CoRR abs/2110.05894 (2021) - 2020
- [i5]Martin Ondreját, Andreas Prohl, Noel Walkington:
Numerical Approximation of Nonlinear SPDE's. CoRR abs/2003.06001 (2020) - [i4]Lubomír Bañas, Robert Lasarzik, Andreas Prohl:
Numerical Analysis for Nematic Electrolytes. CoRR abs/2004.10836 (2020) - [i3]Xiaobing Feng, Andreas Prohl, Liet Vo:
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations. CoRR abs/2005.03148 (2020) - [i2]Andreas Prohl, Yanqing Wang:
Strong Error Estimates for a Space-Time Discretization of the Linear-Quadratic Control Problem with the Stochastic Heat Equation with Linear Noise. CoRR abs/2012.04418 (2020) - [i1]Andreas Prohl, Yanqing Wang:
Strong Rates of Convergence for Space-Time Discretization of the Backward Stochastic Heat Equation, and of a Linear-Quadratic Control Problem for the Stochastic Heat Equation. CoRR abs/2012.10117 (2020)
2010 – 2019
- 2019
- [j45]Max Jensen, Ananta K. Majee, Andreas Prohl, Christian Schellnegger:
Dynamic Programming for Finite Ensembles of Nanomagnetic Particles. J. Sci. Comput. 80(1): 351-375 (2019) - [j44]Andreas Prohl, Christian Schellnegger:
Adaptive Concepts for Stochastic Partial Differential Equations. J. Sci. Comput. 80(1): 444-474 (2019) - 2018
- [j43]Ananta K. Majee, Andreas Prohl:
Optimal Strong Rates of Convergence for a Space-Time Discretization ofthe Stochastic Allen-Cahn Equation with Multiplicative Noise. Comput. Methods Appl. Math. 18(2): 297-311 (2018) - [j42]Thomas Dunst, Andreas Prohl:
Stochastic Optimal Control of Finite Ensembles of Nanomagnets. J. Sci. Comput. 74(2): 872-894 (2018) - 2016
- [j41]Markus Klein, Andreas Prohl:
Optimal Control for the Thin Film Equation: Convergence of a Multi-Parameter Approach to Track State Constraints Avoiding Degeneracies. Comput. Methods Appl. Math. 16(4): 685-702 (2016) - [j40]Thomas Dunst, Andreas Prohl:
The Forward-Backward Stochastic Heat Equation: Numerical Analysis and Simulation. SIAM J. Sci. Comput. 38(5) (2016) - 2014
- [j39]Lubomír Bañas, Markus Klein, Andreas Prohl:
Control of Interface Evolution in Multiphase Fluid Flows. SIAM J. Control. Optim. 52(4): 2284-2318 (2014) - 2013
- [j38]Lubomír Bañas, Zdzislaw Brzezniak, Andreas Prohl:
Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation. SIAM J. Sci. Comput. 35(1) (2013) - 2012
- [j37]Erich Carelli, Alexander Müller, Andreas Prohl:
Domain decomposition strategies for the stochastic heat equation. Int. J. Comput. Math. 89(18): 2517-2542 (2012) - [j36]Lubomír Bañas, Andreas Prohl, Marián Slodicka:
Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording. J. Comput. Appl. Math. 236(18): 4775-4787 (2012) - [j35]Erich Carelli, Andreas Prohl:
Rates of Convergence for Discretizations of the Stochastic Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 50(5): 2467-2496 (2012) - [j34]Thomas Dunst, Erika Hausenblas, Andreas Prohl:
Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise. SIAM J. Numer. Anal. 50(6): 2873-2896 (2012) - [j33]Erich Carelli, Erika Hausenblas, Andreas Prohl:
Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation. SIAM J. Numer. Anal. 50(6): 2917-2939 (2012) - 2011
- [j32]Jonas Haehnle, Andreas Prohl:
Mumford-Shah-Euler Flow with Sphere Constraint and Applications to Color Image Inpainting. SIAM J. Imaging Sci. 4(4): 1200-1233 (2011) - 2010
- [j31]Jonas Haehnle, Andreas Prohl:
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. Math. Comput. 79(269): 189-208 (2010) - [j30]Lubomír Bañas, Andreas Prohl:
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. Math. Comput. 79(272): 1957-1999 (2010) - [j29]Lubomír Bañas, Andreas Prohl, Reiner Schätzle:
Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. Numerische Mathematik 115(3): 395-432 (2010) - [j28]Erich Carelli, Jonas Haehnle, Andreas Prohl:
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions. SIAM J. Numer. Anal. 48(1): 164-190 (2010)
2000 – 2009
- 2009
- [j27]Sören Bartels, Christian Lubich, Andreas Prohl:
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. Math. Comput. 78(267): 1269-1292 (2009) - [j26]Andreas Prohl, Markus Schmuck:
Convergent discretizations for the Nernst-Planck-Poisson system. Numerische Mathematik 111(4): 591-630 (2009) - 2008
- [j25]Sören Bartels, Joy Ko, Andreas Prohl:
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Math. Comput. 77(262): 773-788 (2008) - [j24]Sören Bartels, Andreas Prohl:
Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres. Numerische Mathematik 109(4): 489-507 (2008) - [j23]John W. Barrett, Xiaobing Feng, Andreas Prohl:
On p-Harmonic Map Heat Flows for 1<=p<∞ and Their Finite Element Approximations. SIAM J. Math. Anal. 40(4): 1471-1498 (2008) - [j22]Lubomír Bañas, Sören Bartels, Andreas Prohl:
A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 46(3): 1399-1422 (2008) - [j21]Roland Becker, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. SIAM J. Numer. Anal. 46(4): 1704-1731 (2008) - [j20]Andreas Prohl:
Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics. SIAM J. Numer. Anal. 46(5): 2469-2483 (2008) - [j19]Andreas Prohl:
On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 47(1): 158-180 (2008) - [j18]Lubomír Bañas, Andreas Prohl, Marián Slodicka:
Modeling of Thermally Assisted Magnetodynamics. SIAM J. Numer. Anal. 47(1): 551-574 (2008) - 2007
- [j17]Sören Bartels, Andreas Prohl:
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Math. Comput. 76(260): 1847-1859 (2007) - [j16]Xiaobing Feng, Michael Neilan, Andreas Prohl:
Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. Numerische Mathematik 108(1): 93-119 (2007) - [j15]John W. Barrett, Sören Bartels, Xiaobing Feng, Andreas Prohl:
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. SIAM J. Numer. Anal. 45(3): 905-927 (2007) - [j14]Sören Bartels, Xiaobing Feng, Andreas Prohl:
Finite Element Approximations of Wave Maps into Spheres. SIAM J. Numer. Anal. 46(1): 61-87 (2007) - 2006
- [j13]Lars Diening, Andreas Prohl, Michael Ruzicka:
Semi-implicit Euler Scheme for Generalized Newtonian Fluids. SIAM J. Numer. Anal. 44(3): 1172-1190 (2006) - [j12]Sören Bartels, Andreas Prohl:
Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 44(4): 1405-1419 (2006) - [j11]Martin Kruzík, Andreas Prohl:
Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism. SIAM Rev. 48(3): 439-483 (2006) - 2005
- [j10]Xiaobing Feng, Markus von Oehsen, Andreas Prohl:
Rate of convergence of regularization procedures and finite element approximations for the total variation flow. Numerische Mathematik 100(3): 441-456 (2005) - 2004
- [j9]Xiaobing Feng, Andreas Prohl:
Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. Math. Comput. 73(246): 541-567 (2004) - [j8]Sören Bartels, Andreas Prohl:
Multiscale resolution in the computation of crystalline microstructure. Numerische Mathematik 96(4): 641-660 (2004) - [j7]Xiaobing Feng, Andreas Prohl:
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Numerische Mathematik 99(1): 47-84 (2004) - 2003
- [j6]Xiaobing Feng, Andreas Prohl:
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Numerische Mathematik 94(1): 33-65 (2003) - 2001
- [j5]Carsten Carstensen, Andreas Prohl:
Numerical analysis of relaxed micromagnetics by penalised finite elements. Numerische Mathematik 90(1): 65-99 (2001) - [j4]Martin Kruzík, Andreas Prohl:
Young measure approximation in micromagnetics. Numerische Mathematik 90(2): 291-307 (2001) - [j3]Andreas Prohl, Michael Ruzicka:
On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case p ≤ 2. SIAM J. Numer. Anal. 39(1): 214-249 (2001) - 2000
- [j2]Andreas Prohl:
A first order projection-based time-splitting scheme for computing chemically reacting flows. Numerische Mathematik 84(4): 649-677 (2000)
1990 – 1999
- 1999
- [j1]Matthias K. Gobbert, Andreas Prohl:
A Discontinuous Finite Element Method for Solving a Multiwell Problem. SIAM J. Numer. Anal. 37(1): 246-268 (1999)
Coauthor Index
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