Andreas Prohl

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 21

Top Topics

Finite Element Methods

Dynamic Programming

Partial Differential Equations

Top Venues

Numerische Mathematik

J. Sci. Comput.

Comput. Methods Appl. Math.

Publications

Max Jensen, Fabian Merle, Andreas Prohl
Data-dependent density estimation for the Fokker-Planck equation in higher dimensions. CoRR (2024)
Fabian Merle, Andreas Prohl
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems. Numerische Mathematik 153 (4) (2023)
Dominic Breit, Thamsanqa Castern Moyo, Andreas Prohl
Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise. CoRR (2023)
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) (2022)
Dominic Breit, Andreas Prohl
Weak error analysis for the stochastic Allen-Cahn equation. CoRR (2022)
Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise. CoRR (2022)
Fabian Merle, Andreas Prohl
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems. Numerische Mathematik 149 (2) (2021)
Dominic Breit, Andreas Prohl
Numerical analysis of 2D Navier-Stokes equations with additive stochastic forcing. CoRR (2021)
Dominic Breit, Andreas Prohl
Error analysis for 2D stochastic Navier-Stokes equations in bounded domains. CoRR (2021)
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) (2021)
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 (2020)
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 (2020)
Xiaobing Feng, Andreas Prohl, Liet Vo
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations. CoRR (2020)
Lubomír Bañas, Robert Lasarzik, Andreas Prohl
Numerical Analysis for Nematic Electrolytes. CoRR (2020)
Martin Ondreját, Andreas Prohl, Noel Walkington
Numerical Approximation of Nonlinear SPDE's. CoRR (2020)
Max Jensen, Ananta K. Majee, Andreas Prohl, Christian Schellnegger
Dynamic Programming for Finite Ensembles of Nanomagnetic Particles. J. Sci. Comput. 80 (1) (2019)
Andreas Prohl, Christian Schellnegger
Adaptive Concepts for Stochastic Partial Differential Equations. J. Sci. Comput. 80 (1) (2019)
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) (2018)
Thomas Dunst, Andreas Prohl
Stochastic Optimal Control of Finite Ensembles of Nanomagnets. J. Sci. Comput. 74 (2) (2018)
Thomas Dunst, Andreas Prohl
The Forward-Backward Stochastic Heat Equation: Numerical Analysis and Simulation. SIAM J. Sci. Comput. 38 (5) (2016)
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) (2016)
Lubomír Bañas, Markus Klein, Andreas Prohl
Control of Interface Evolution in Multiphase Fluid Flows. SIAM J. Control. Optim. 52 (4) (2014)
Lubomír Bañas, Zdzislaw Brzezniak, Andreas Prohl
Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation. SIAM J. Sci. Comput. 35 (1) (2013)
Erich Carelli, Alexander Müller, Andreas Prohl
Domain decomposition strategies for the stochastic heat equation. Int. J. Comput. Math. 89 (18) (2012)
Erich Carelli, Erika Hausenblas, Andreas Prohl
Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation. SIAM J. Numer. Anal. 50 (6) (2012)
Erich Carelli, Andreas Prohl
Rates of Convergence for Discretizations of the Stochastic Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 50 (5) (2012)
Lubomír Bañas, Andreas Prohl, Marián Slodicka
Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording. J. Comput. Appl. Math. 236 (18) (2012)
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) (2012)
Jonas Haehnle, Andreas Prohl
Mumford-Shah-Euler Flow with Sphere Constraint and Applications to Color Image Inpainting. SIAM J. Imaging Sci. 4 (4) (2011)
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) (2010)
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) (2010)
Jonas Haehnle, Andreas Prohl
Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. Math. Comput. 79 (269) (2010)
Lubomír Bañas, Andreas Prohl
Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. Math. Comput. 79 (272) (2010)
Andreas Prohl, Markus Schmuck
Convergent discretizations for the Nernst-Planck-Poisson system. Numerische Mathematik 111 (4) (2009)
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) (2009)
Andreas Prohl
On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier-Stokes Equations. SIAM J. Numer. Anal. 47 (1) (2008)
Andreas Prohl
Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics. SIAM J. Numer. Anal. 46 (5) (2008)
Sören Bartels, Andreas Prohl
-harmonic heat flow into spheres. Numerische Mathematik 109 (4) (2008)
Sören Bartels, Joy Ko, Andreas Prohl
Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. Math. Comput. 77 (262) (2008)
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) (2008)
Lubomír Bañas, Andreas Prohl, Marián Slodicka
Modeling of Thermally Assisted Magnetodynamics. SIAM J. Numer. Anal. 47 (1) (2008)
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) (2008)
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) (2008)
Sören Bartels, Andreas Prohl
Constraint preserving implicit finite element discretization of harmonic map flow into spheres. Math. Comput. 76 (260) (2007)
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) (2007)
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) (2007)
Sören Bartels, Xiaobing Feng, Andreas Prohl
Finite Element Approximations of Wave Maps into Spheres. SIAM J. Numer. Anal. 46 (1) (2007)
Sören Bartels, Andreas Prohl
Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation. SIAM J. Numer. Anal. 44 (4) (2006)
Lars Diening, Andreas Prohl, Michael Ruzicka
Semi-implicit Euler Scheme for Generalized Newtonian Fluids. SIAM J. Numer. Anal. 44 (3) (2006)
Martin Kruzík, Andreas Prohl
Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism. SIAM Rev. 48 (3) (2006)
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) (2005)
Xiaobing Feng, Andreas Prohl
Error analysis of a mixed finite element method for the Cahn-Hilliard equation. Numerische Mathematik 99 (1) (2004)
Sören Bartels, Andreas Prohl
Multiscale resolution in the computation of crystalline microstructure. Numerische Mathematik 96 (4) (2004)
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) (2004)
Xiaobing Feng, Andreas Prohl
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. Numerische Mathematik 94 (1) (2003)
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) (2001)
Martin Kruzík, Andreas Prohl
Young measure approximation in micromagnetics. Numerische Mathematik 90 (2) (2001)
Carsten Carstensen, Andreas Prohl
Numerical analysis of relaxed micromagnetics by penalised finite elements. Numerische Mathematik 90 (1) (2001)
Andreas Prohl
A first order projection-based time-splitting scheme for computing chemically reacting flows. Numerische Mathematik 84 (4) (2000)
Matthias K. Gobbert, Andreas Prohl
A Discontinuous Finite Element Method for Solving a Multiwell Problem. SIAM J. Numer. Anal. 37 (1) (1999)