Andreas Prohl

Orcid: 0000-0003-4523-9536

According to our database1, Andreas Prohl authored at least 61 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Error Analysis for 2D Stochastic Navier-Stokes Equations in Bounded Domains with Dirichlet Data.
Found. Comput. Math., October, 2024

Data-dependent density estimation for the Fokker-Planck equation in higher dimensions.
CoRR, 2024

2023
A posteriori error analysis and adaptivity for high-dimensional elliptic and parabolic boundary value problems.
Numerische Mathematik, April, 2023

Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise.
CoRR, 2023

2022
Weak error analysis for the stochastic Allen-Cahn equation.
CoRR, 2022

Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise.
CoRR, 2022

Optimal control for a coupled spin-polarized current and magnetization system.
Adv. Comput. Math., 2022

2021
An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems.
Numerische Mathematik, 2021

Numerical approximation of the stochastic Cahn-Hilliard equation near the sharp interface limit.
Numerische Mathematik, 2021

Numerical analysis of 2D Navier-Stokes equations with additive stochastic forcing.
CoRR, 2021

Error analysis for 2D stochastic Navier-Stokes equations in bounded domains.
CoRR, 2021

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.
CoRR, 2020

Strong Error Estimates for a Space-Time Discretization of the Linear-Quadratic Control Problem with the Stochastic Heat Equation with Linear Noise.
CoRR, 2020

Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations.
CoRR, 2020

Numerical Analysis for Nematic Electrolytes.
CoRR, 2020

Numerical Approximation of Nonlinear SPDE's.
CoRR, 2020

2019
Adaptive Concepts for Stochastic Partial Differential Equations.
J. Sci. Comput., 2019

Dynamic Programming for Finite Ensembles of Nanomagnetic Particles.
J. Sci. Comput., 2019

2018
Stochastic Optimal Control of Finite Ensembles of Nanomagnets.
J. Sci. Comput., 2018

Optimal Strong Rates of Convergence for a Space-Time Discretization ofthe Stochastic Allen-Cahn Equation with Multiplicative Noise.
Comput. Methods Appl. Math., 2018

2016
The Forward-Backward Stochastic Heat Equation: Numerical Analysis and Simulation.
SIAM J. Sci. Comput., 2016

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

2014
Control of Interface Evolution in Multiphase Fluid Flows.
SIAM J. Control. Optim., 2014

2013
Computational Studies for the Stochastic Landau-Lifshitz-Gilbert Equation.
SIAM J. Sci. Comput., 2013

2012
Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise.
SIAM J. Numer. Anal., 2012

Rates of Convergence for Discretizations of the Stochastic Incompressible Navier-Stokes Equations.
SIAM J. Numer. Anal., 2012

Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation.
SIAM J. Numer. Anal., 2012

Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording.
J. Comput. Appl. Math., 2012

Domain decomposition strategies for the stochastic heat equation.
Int. J. Comput. Math., 2012

2011
Mumford-Shah-Euler Flow with Sphere Constraint and Applications to Color Image Inpainting.
SIAM J. Imaging Sci., 2011

2010
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions.
SIAM J. Numer. Anal., 2010

Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii.
Numerische Mathematik, 2010

Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions.
Math. Comput., 2010

Convergent finite element discretization of the multi-fluid nonstationary incompressible magnetohydrodynamics equations.
Math. Comput., 2010

2009
Convergent discretizations for the Nernst-Planck-Poisson system.
Numerische Mathematik, 2009

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers.
Math. Comput., 2009

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

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

Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow.
SIAM J. Numer. Anal., 2008

Modeling of Thermally Assisted Magnetodynamics.
SIAM J. Numer. Anal., 2008

A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation.
SIAM J. Numer. Anal., 2008

On p-Harmonic Map Heat Flows for 1<=p<∞ and Their Finite Element Approximations.
SIAM J. Math. Anal., 2008

Convergence of an implicit, constraint preserving finite element discretization of <i>p</i>-harmonic heat flow into spheres.
Numerische Mathematik, 2008

Numerical analysis of an explicit approximation scheme for the Landau-Lifshitz-Gilbert equation.
Math. Comput., 2008

2007
Finite Element Approximations of Wave Maps into Spheres.
SIAM J. Numer. Anal., 2007

A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres.
SIAM J. Numer. Anal., 2007

Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity.
Numerische Mathematik, 2007

Constraint preserving implicit finite element discretization of harmonic map flow into spheres.
Math. Comput., 2007

2006
Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism.
SIAM Rev., 2006

Semi-implicit Euler Scheme for Generalized Newtonian Fluids.
SIAM J. Numer. Anal., 2006

Convergence of an Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation.
SIAM J. Numer. Anal., 2006

2005
Rate of convergence of regularization procedures and finite element approximations for the total variation flow.
Numerische Mathematik, 2005

2004
Error analysis of a mixed finite element method for the Cahn-Hilliard equation.
Numerische Mathematik, 2004

Multiscale resolution in the computation of crystalline microstructure.
Numerische Mathematik, 2004

Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits.
Math. Comput., 2004

2003
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows.
Numerische Mathematik, 2003

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

Young measure approximation in micromagnetics.
Numerische Mathematik, 2001

Numerical analysis of relaxed micromagnetics by penalised finite elements.
Numerische Mathematik, 2001

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

1999
A Discontinuous Finite Element Method for Solving a Multiwell Problem.
SIAM J. Numer. Anal., 1999


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