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1

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

Xiaobing Feng, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 279 KB

english, 2003

2

Error analysis of a mixed finite element method for the Cahn-Hilliard equation

Xiaobing Feng, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 330 KB

english, 2004

3

On the pollution effect of quasi-compressibility methods in magneto-hydrodynamics and reactive flows

Journal:

Mathematical Methods in the Applied Sciences

Year:

1999

Language:

english

File:

PDF, 214 KB

english, 1999

4

Convergence of a\(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise

Chen, Chuchu, Hong, Jialin, Prohl, Andreas

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2016

Language:

english

File:

PDF, 911 KB

english, 2016

5

Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 355 KB

english, 2008

6

Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise

Dunst, Thomas, Hausenblas, Erika, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 3.09 MB

english, 2012

7

Semi‐implicit Euler Scheme for Generalized Newtonian Fluids

Diening, Lars, Prohl, Andreas, Růžička, Michael

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 239 KB

english, 2006

8

A Convergent and Constraint‐Preserving Finite Element Method for the p ‐Harmonic Flow into Spheres

Barrett, John W., Bartels, Sören, Feng, Xiaobing, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 652 KB

english, 2007

9

Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism

Martin Kružík and Andreas Prohl

Journal:

Year:

2006

Language:

english

File:

PDF, 4.31 MB

english, 2006

10

Control of Interface Evolution in Multiphase Fluid Flows

Baňas, L'ubomír, Klein, Markus, Prohl, Andreas

Journal:

SIAM Journal on Control and Optimization

Year:

2014

Language:

english

File:

PDF, 3.38 MB

english, 2014

11

Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow

Roland Becker, Xiaobing Feng and Andreas Prohl

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 2.38 MB

english, 2008

12

Constraint Preserving Implicit Finite Element Discretization of Harmonic Map Flow into Spheres

Sören Bartels and Andreas Prohl

Journal:

Mathematics of Computation

Year:

2007

Language:

english

File:

PDF, 918 KB

english, 2007

13

Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system

Prohl, Andreas, Schmuck, Markus

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 2.25 MB

english, 2010

14

Optimal Control for the Thin Film Equation: Convergence of a Multi-Parameter Approach to Track State Constraints Avoiding Degeneracies

Klein, Markus, Prohl, Andreas

Journal:

Computational Methods in Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 2.54 MB

english, 2016

15

Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem

Feng, Xiaobing, Prohl, Andreas

Journal:

Interfaces and Free Boundaries

Year:

2005

Language:

english

File:

PDF, 271 KB

english, 2005

16

On Stochastic Optimal Control in Ferromagnetism

Dunst, Thomas, Majee, Ananta K., Prohl, Andreas, Vallet, Guy

Journal:

Archive for Rational Mechanics and Analysis

Year:

2019

Language:

english

File:

PDF, 1.39 MB

english, 2019

17

A comparison of classical and new finite element methods for the computation of laminate microstructure

Matthias K. Gobbert, Andreas Prohl

Journal:

Applied Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 4.20 MB

english, 2001

18

Multiscale resolution in the computation of crystalline microstructure

Sören Bartels, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 289 KB

english, 2004

19

Rate of convergence of regularization procedures and finite element approximations for the total variation flow

Xiaobing Feng, Markus von Oehsen, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2005

Language:

english

File:

PDF, 489 KB

english, 2005

20

Error analysis of finite element approximations of the inverse mean curvature flow arising from the general relativity

Xiaobing Feng, Michael Neilan, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2007

Language:

english

File:

PDF, 814 KB

english, 2007

21

Convergence of an implicit, constraint preserving finite element discretization ofp-harmonic heat flow into spheres

Sören Bartels, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2008

Language:

english

File:

PDF, 501 KB

english, 2008

22

Convergent discretizations for the Nernst–Planck–Poisson system

Andreas Prohl, Markus Schmuck

Journal:

Numerische Mathematik

Year:

2009

Language:

english

File:

PDF, 824 KB

english, 2009

23

Finite element approximations of harmonic map heat flows and wave maps into spheres of nonconstant radii

L’ubomír Baňas, Andreas Prohl, Reiner Schätzle

Journal:

Numerische Mathematik

Year:

2010

Language:

english

File:

PDF, 3.44 MB

english, 2010

24

A first order projection-based time-splitting scheme for computing chemically reacting flows

Journal:

Numerische Mathematik

Year:

2000

Language:

english

File:

PDF, 208 KB

english, 2000

25

Young measure approximation in micromagnetics

Martin Kružík, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2001

Language:

english

File:

PDF, 225 KB

english, 2001

26

Numerical analysis of relaxed micromagnetics by penalised finite elements

Carsten Carstensen, Andreas Prohl

Journal:

Numerische Mathematik

Year:

2001

Language:

english

File:

PDF, 563 KB

english, 2001

27

Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism

Kruzík, Martin, Prohl, Andreas

Journal:

Year:

2006

Language:

english

File:

PDF, 2.25 MB

english, 2006

28

Numerical scheme for augmented Landau–Lifshitz equation in heat assisted recording

L’ubomír Baňas, Andreas Prohl, Marián Slodička

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 1.23 MB

english, 2012

29

Modeling of Thermally Assisted Magnetodynamics

Baňas, L'ubomír, Prohl, Andreas, Slodička, Marián

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 4.24 MB

english, 2009

30

Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation

Carelli, Erich, Hausenblas, Erika, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 547 KB

english, 2012

31

Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions

Carelli, Erich, Haehnle, Jonas, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 4.98 MB

english, 2010

32

On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier–Stokes Equations

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 753 KB

english, 2009

33

Rates of Convergence for Discretizations of the Stochastic Incompressible Navier--Stokes Equations

Carelli, Erich, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 386 KB

english, 2012

34

A Discontinuous Finite Element Method for Solving a Multiwell Problem

Gobbert, Matthias K., Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 1.31 MB

english, 1999

35

Finite Element Approximations of Wave Maps into Spheres

Bartels, Sören, Feng, Xiaobing, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 731 KB

english, 2008

36

Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation

Bartels, Sören, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 513 KB

english, 2006

37

A Convergent Implicit Finite Element Discretization of the Maxwell–Landau–Lifshitz–Gilbert Equation

Baňas, L'ubomír, Bartels, Sören, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 992 KB

english, 2008

38

On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case $p \le 2 $

Prohl, Andreas, Ruzicka, Michael

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 379 KB

english, 2001

39

Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 4.89 MB

english, 2008

40

Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

Becker, Roland, Feng, Xiaobing, Prohl, Andreas

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 606 KB

english, 2008

41

On p -Harmonic Map Heat Flows for $1\leqp

Barrett, John W., Feng, Xiaobing, Prohl, Andreas

Journal:

SIAM Journal on Mathematical Analysis

Year:

2008

Language:

english

File:

PDF, 338 KB

english, 2008

42

Mumford–Shah–Euler Flow with Sphere Constraint and Applications to Color Image Inpainting

Haehnle, Jonas, Prohl, Andreas

Journal:

SIAM Journal on Imaging Sciences

Year:

2011

Language:

english

File:

PDF, 1.18 MB

english, 2011

43

Computational Studies for the Stochastic Landau--Lifshitz--Gilbert Equation

Baňas, Ľubomír, Brzeźniak, Zdzislaw, Prohl, Andreas

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 5.39 MB

english, 2013

44

Stable discretization of a diffuse interface model for liquid-vapor flows with surface tension

Braack, Malte, Prohl, Andreas

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2013

Language:

english

File:

PDF, 2.38 MB

english, 2013

45

On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case p ≤ 2

Andreas Prohl and Michael Růžička

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 2.91 MB

english, 2002

46

The Role of Noise in Finite Ensembles of Nanomagnetic Particles

Mikhail Neklyudov, Andreas Prohl

Journal:

Archive for Rational Mechanics and Analysis

Year:

2013

Language:

english

File:

PDF, 582 KB

english, 2013

47

Finite element approximations of the stochastic mean curvature flow of planar curves of graphs

Feng, Xiaobing, Li, Yukun, Prohl, Andreas

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2014

Language:

english

File:

PDF, 5.07 MB

english, 2014

48

Stochastic Ferromagnetism (Analysis and Numerics) || Chapter 2. The stochastic Landau-Lifshitz-Gilbert equation

Banas, Lubomir, Brzezniak, Zdzislaw, Neklyudov, Mikhail, Prohl, Andreas

Year:

2013

Language:

english

File:

PDF, 7.17 MB

english, 2013

49

Domain decomposition strategies for the stochastic heat equation

Carelli, Erich, Müller, Alexander, Prohl, Andreas

Journal:

International Journal of Computer Mathematics

Year:

2012

Language:

english

File:

PDF, 464 KB

english, 2012

50

Spatial structure of In0.25Ga0.75As/GaAs/GaP quantum dots on the atomic scale

Prohl, Christopher, Lenz, Andrea, Roy, Dominik, Schuppang, Josephine, Stracke, Gernot, Strittmatter, André, Pohl, Udo W., Bimberg, Dieter, Eisele, Holger, Dähne, Mario

Journal:

Applied Physics Letters

Year:

2013

Language:

english

File:

PDF, 1.29 MB

english, 2013

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