A Discontinuous Finite Element Method for Solving a Multiwell Problem. - Matthias K. Gobbert; Andreas Prohl (SIAM J. Numer. Anal., 1999)

A first order projection-based time-splitting scheme for computing chemically reacting flows. - Andreas Prohl (Numerische Mathematik, 2000)

Numerical analysis of relaxed micromagnetics by penalised finite elements. - Carsten Carstensen; Andreas Prohl (Numerische Mathematik, 2001)

Young measure approximation in micromagnetics. - Martin Kruzík; Andreas Prohl (Numerische Mathematik, 2001)

On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case p ≤ 2. - Andreas Prohl; Michael Ruzicka (SIAM J. Numer. Anal., 2001)

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows. - Xiaobing Feng 001; Andreas Prohl (Numerische Mathematik, 2003)

Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits. - Xiaobing Feng 001; Andreas Prohl (Math. Comput., 2004)

Multiscale resolution in the computation of crystalline microstructure. - Sören Bartels; Andreas Prohl (Numerische Mathematik, 2004)

Error analysis of a mixed finite element method for the Cahn-Hilliard equation. - Xiaobing Feng 001; Andreas Prohl (Numerische Mathematik, 2004)

Rate of convergence of regularization procedures and finite element approximations for the total variation flow. - Xiaobing Feng 001; Markus von Oehsen; Andreas Prohl (Numerische Mathematik, 2005)

Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation. - Sören Bartels; Andreas Prohl (SIAM J. Numer. Anal., 2006)

Semi-implicit Euler Scheme for Generalized Newtonian Fluids. - Lars Diening; Andreas Prohl; Michael Ruzicka (SIAM J. Numer. Anal., 2006)

Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism. - Martin Kruzík; Andreas Prohl (SIAM Rev., 2006)

Constraint preserving implicit finite element discretization of harmonic map flow into spheres. - Sören Bartels; Andreas Prohl (Math. Comput., 2007)

Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity. - Xiaobing Feng 001; Michael Neilan; Andreas Prohl (Numerische Mathematik, 2007)

A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. - John W. Barrett 001; Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

Finite Element Approximations of Wave Maps into Spheres. - Sören Bartels; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2007)

Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation. - Sören Bartels; Joy Ko; Andreas Prohl (Math. Comput., 2008)

Convergence of an implicit, constraint preserving finite element discretization of p-harmonic heat flow into spheres. - Sören Bartels; Andreas Prohl (Numerische Mathematik, 2008)

On p-Harmonic Map Heat Flows for 1<=p<∞ and Their Finite Element Approximations. - John W. Barrett 001; Xiaobing Feng 001; Andreas Prohl (SIAM J. Math. Anal., 2008)

A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. - Lubomír Bañas; Sören Bartels; Andreas Prohl (SIAM J. Numer. Anal., 2008)

Modeling of Thermally Assisted Magnetodynamics. - Lubomír Bañas; Andreas Prohl; Marián Slodicka (SIAM J. Numer. Anal., 2008)

Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. - Roland Becker; Xiaobing Feng 001; Andreas Prohl (SIAM J. Numer. Anal., 2008)

On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier-Stokes Equations. - Andreas Prohl (SIAM J. Numer. Anal., 2008)

Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics. - Andreas Prohl (SIAM J. Numer. Anal., 2008)

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. - Sören Bartels; Christian Lubich; Andreas Prohl (Math. Comput., 2009)

Convergent discretizations for the Nernst-Planck-Poisson system. - Andreas Prohl; Markus Schmuck (Numerische Mathematik, 2009)

Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations. - Lubomír Bañas; Andreas Prohl (Math. Comput., 2010)

Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions. - Jonas Haehnle; Andreas Prohl (Math. Comput., 2010)

Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii. - Lubomír Bañas; Andreas Prohl; Reiner Schätzle (Numerische Mathematik, 2010)

Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions. - Erich Carelli; Jonas Haehnle; Andreas Prohl (SIAM J. Numer. Anal., 2010)

Mumford-Shah-Euler Flow with Sphere Constraint and Applications to Color Image Inpainting. - Jonas Haehnle; Andreas Prohl (SIAM J. Imaging Sci., 2011)

Domain decomposition strategies for the stochastic heat equation. - Erich Carelli; Alexander Müller; Andreas Prohl (Int. J. Comput. Math., 2012)

Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording. - Lubomír Bañas; Andreas Prohl; Marián Slodicka (J. Comput. Appl. Math., 2012)

Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation. - Erich Carelli; Erika Hausenblas; Andreas Prohl (SIAM J. Numer. Anal., 2012)

Rates of Convergence for Discretizations of the Stochastic Incompressible Navier-Stokes Equations. - Erich Carelli; Andreas Prohl (SIAM J. Numer. Anal., 2012)

Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise. - Thomas Dunst; Erika Hausenblas; Andreas Prohl (SIAM J. Numer. Anal., 2012)

Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation. - Lubomír Bañas; Zdzislaw Brzezniak; Andreas Prohl (SIAM J. Sci. Comput., 2013)

Control of Interface Evolution in Multiphase Fluid Flows. - Lubomír Bañas; Markus Klein; Andreas Prohl (SIAM J. Control. Optim., 2014)

Optimal Control for the Thin Film Equation: Convergence of a Multi-Parameter Approach to Track State Constraints Avoiding Degeneracies. - Markus Klein; Andreas Prohl (Comput. Methods Appl. Math., 2016)

The Forward-Backward Stochastic Heat Equation: Numerical Analysis and Simulation. - Thomas Dunst; Andreas Prohl (SIAM J. Sci. Comput., 2016)

Optimal Strong Rates of Convergence for a Space-Time Discretization ofthe Stochastic Allen-Cahn Equation with Multiplicative Noise. - Ananta K. Majee; Andreas Prohl (Comput. Methods Appl. Math., 2018)

Stochastic Optimal Control of Finite Ensembles of Nanomagnets. - Thomas Dunst; Andreas Prohl (J. Sci. Comput., 2018)

Dynamic Programming for Finite Ensembles of Nanomagnetic Particles. - Max Jensen; Ananta K. Majee; Andreas Prohl; Christian Schellnegger (J. Sci. Comput., 2019)

Adaptive Concepts for Stochastic Partial Differential Equations. - Andreas Prohl; Christian Schellnegger (J. Sci. Comput., 2019)

Numerical Approximation of Nonlinear SPDE's. - Martin Ondreját; Andreas Prohl; Noel Walkington (CoRR, 2020)

Numerical Analysis for Nematic Electrolytes. - Lubomír Bañas; Robert Lasarzik; Andreas Prohl (CoRR, 2020)

Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations. - Xiaobing Feng 001; Andreas Prohl; Liet Vo (CoRR, 2020)

Strong Error Estimates for a Space-Time Discretization of the Linear-Quadratic Control Problem with the Stochastic Heat Equation with Linear Noise. - Andreas Prohl; Yanqing Wang (CoRR, 2020)

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. - Andreas Prohl; Yanqing Wang (CoRR, 2020)

Error analysis for 2D stochastic Navier-Stokes equations in bounded domains. - Dominic Breit; Andreas Prohl (CoRR, 2021)

Numerical analysis of 2D Navier-Stokes equations with additive stochastic forcing. - Dominic Breit; Andreas Prohl (CoRR, 2021)

Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit. - Dimitra Antonopoulou; Lubomír Bañas; Robert Nürnberg; Andreas Prohl (Numerische Mathematik, 2021)

An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems. - Fabian Merle; Andreas Prohl (Numerische Mathematik, 2021)

Optimal control for a coupled spin-polarized current and magnetization system. - Xin An; Ananta K. Majee; Andreas Prohl; Thanh Tran (Adv. Comput. Math., 2022)

Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise. - Xiaobing Feng 001; Akash Ashirbad Panda; Andreas Prohl (CoRR, 2022)

Weak error analysis for the stochastic Allen-Cahn equation. - Dominic Breit; Andreas Prohl (CoRR, 2022)

Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise. - Dominic Breit; Thamsanqa Castern Moyo; Andreas Prohl (CoRR, 2023)

A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems. - Fabian Merle; Andreas Prohl (Numerische Mathematik, 2023)

Data-dependent density estimation for the Fokker-Planck equation in higher dimensions. - Max Jensen; Fabian Merle; Andreas Prohl (CoRR, 2024)

Error Analysis for 2D Stochastic Navier-Stokes Equations in Bounded Domains with Dirichlet Data. - Dominic Breit; Andreas Prohl (Found. Comput. Math., 2024)