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ORCIDArnold Reusken
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- affiliation: RWTH Aachen University, Germany
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2020 – today
- 2024
[j55]Elena Bachini
, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt:
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. J. Num. Math. 32(1): 55-76 (2024)- [i18]Arnold Reusken, Hauke Sass:
Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces. CoRR abs/2401.01215 (2024) - [i17]Arnold Reusken:
Analysis of the Taylor-Hood Surface Finite Element Method for the surface Stokes equation. CoRR abs/2401.03561 (2024) - [i16]Maxim A. Olshanskii, Arnold Reusken, Paul Schwering:
A narrow band finite element method for the level set equation. CoRR abs/2407.02950 (2024) - 2023
- [j54]Hauke Sass, Arnold Reusken:
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces. Comput. Math. Appl. 146: 253-270 (2023) - [j53]Maxim A. Olshanskii, Arnold Reusken, Paul Schwering:
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. Math. Comput. 93(349): 2031-2065 (2023) - [j52]Sven Gross, Arnold Reusken:
Analysis of optimal preconditioners for CutFEM. Numer. Linear Algebra Appl. 30(5) (2023) - [i15]Maxim A. Olshanskii, Arnold Reusken, Paul Schwering:
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. CoRR abs/2302.00779 (2023) - 2022
- [j51]Arnold Reusken:
Analysis of finite element methods for surface vector-Laplace eigenproblems. Math. Comput. 91(336): 1587-1623 (2022) - [j50]Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt:
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations. SIAM J. Sci. Comput. 44(4): 1807- (2022) - [i14]Sven Gross, Arnold Reusken:
Analysis of optimal preconditioners for CutFEM. CoRR abs/2202.09069 (2022) - [i13]Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. CoRR abs/2203.01521 (2022) - [i12]Elena Bachini, Philip Brandner, Thomas Jankuhn, Michael Nestler, Simon Praetorius, Arnold Reusken, Axel Voigt:
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties. CoRR abs/2205.12581 (2022) - [i11]Hauke Sass, Arnold Reusken:
An Accurate and Robust Eulerian Finite Element Method for Partial Differential Equations on Evolving Surfaces. CoRR abs/2212.12030 (2022) - 2021
- [j49]Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. J. Num. Math. 29(3): 245-267 (2021) - [j48]Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. Math. Comput. 90(330): 1527-1555 (2021) - [j47]Arnold Reusken, Benjamin Stamm:
Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model. SIAM J. Numer. Anal. 59(2): 769-796 (2021) - [i10]Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt:
Finite element discretization methods for velocity-pressure and stream function formulations of surface Stokes equations. CoRR abs/2103.03843 (2021) - [i9]Sven Gross, Arnold Reusken:
Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method. CoRR abs/2107.01182 (2021) - [i8]Philip Brandner, Arnold Reusken, Paul Schwering:
On derivations of evolving surface Navier-Stokes equations. CoRR abs/2110.14262 (2021) - 2020
- [j46]Thomas Ludescher, Sven Gross, Arnold Reusken:
A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems. SIAM J. Sci. Comput. 42(1): A318-A342 (2020) - [i7]Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Error analysis of higher order trace finite element methods for the surface Stokes equations. CoRR abs/2003.06972 (2020) - [i6]Arnold Reusken, Benjamin Stamm:
Analysis of the Schwarz domain decomposition method for the conductor-like screening continuum model. CoRR abs/2006.01935 (2020) - [i5]Arnold Reusken:
Analysis of finite element methods for surface vector-Laplace eigenproblems. CoRR abs/2011.02851 (2020)
2010 – 2019
- 2019
- [j45]Christoph Lehrenfeld, Arnold Reusken:
L2-error analysis of an isoparametric unfitted finite element method for elliptic interface problems. J. Num. Math. 27(2): 85-99 (2019) - [j44]Igor Voulis, Arnold Reusken:
Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. J. Num. Math. 27(3): 155-182 (2019) - [i4]Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. CoRR abs/1909.02990 (2019) - [i3]Thomas Jankuhn, Arnold Reusken:
Higher order Trace Finite Element Methods for the Surface Stokes Equation. CoRR abs/1909.08327 (2019) - [i2]Philip Brandner, Arnold Reusken:
Finite Element Error Analysis of Surface Stokes Equations in Stream Function Formulation. CoRR abs/1910.09221 (2019) - 2018
- [j43]Jörg Grande, Christoph Lehrenfeld, Arnold Reusken:
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces. SIAM J. Numer. Anal. 56(1): 228-255 (2018) - [j42]Sven Gross, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken:
A Trace Finite Element Method for Vector-Laplacians on Surfaces. SIAM J. Numer. Anal. 56(4): 2406-2429 (2018) - [j41]Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken, Vladimir Yushutin:
A Finite Element Method for the Surface Stokes Problem. SIAM J. Sci. Comput. 40(4): A2492-A2518 (2018) - 2017
- [j40]Christoph Lehrenfeld, Arnold Reusken:
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. Numerische Mathematik 135(2): 313-332 (2017) - 2016
- [j39]Jörg Grande, Arnold Reusken:
A Higher Order Finite Element Method for Partial Differential Equations on Surfaces. SIAM J. Numer. Anal. 54(1): 388-414 (2016) - [j38]Matthias Kirchhart, Sven Groß, Arnold Reusken:
Analysis of an XFEM Discretization for Stokes Interface Problems. SIAM J. Sci. Comput. 38(2) (2016) - [j37]Sven Groß, Thomas Ludescher, Maxim A. Olshanskii, Arnold Reusken:
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems. SIAM J. Sci. Comput. 38(6) (2016) - 2014
- [j36]Arnold Reusken, Patrick Esser:
Analysis of time discretization methods for Stokes equations with a nonsmooth forcing term. Numerische Mathematik 126(2): 293-319 (2014) - [j35]Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu:
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. SIAM J. Numer. Anal. 52(3): 1354-1377 (2014) - [j34]Maxim A. Olshanskii, Arnold Reusken:
Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. SIAM J. Numer. Anal. 52(4): 2092-2120 (2014) - [i1]Christoph Lehrenfeld, Arnold Reusken:
Optimal preconditioners for Nitsche-XFEM discretizations of interface problems. CoRR abs/1408.2940 (2014) - 2013
- [j33]Christoph Lehrenfeld, Arnold Reusken:
Analysis of a Nitsche XFEM-DG Discretization for a Class of Two-Phase Mass Transport Problems. SIAM J. Numer. Anal. 51(2): 958-983 (2013) - [j32]Arnold Reusken:
A Finite Element Level Set Redistancing Method Based on Gradient Recovery. SIAM J. Numer. Anal. 51(5): 2723-2745 (2013) - 2012
- [j31]Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu:
On surface meshes induced by level set functions. Comput. Vis. Sci. 15(2): 53-60 (2012) - [j30]Christoph Lehrenfeld, Arnold Reusken:
Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem. SIAM J. Sci. Comput. 34(5) (2012) - 2011
- [j29]Maka Karalashvili, Sven Groß, Wolfgang Marquardt, Adel Mhamdi, Arnold Reusken:
Identification of Transport Coefficient Models in Convection-Diffusion Equations. SIAM J. Sci. Comput. 33(1): 303-327 (2011) - 2010
- [j28]Maxim A. Olshanskii, Arnold Reusken:
A finite element method for surface PDEs: matrix properties. Numerische Mathematik 114(3): 491 (2010)
2000 – 2009
- 2009
- [j27]Maxim A. Olshanskii, Arnold Reusken, Jörg Grande:
A Finite Element Method for Elliptic Equations on Surfaces. SIAM J. Numer. Anal. 47(5): 3339-3358 (2009) - 2008
- [j26]Maxim Larin, Arnold Reusken:
A comparative study of efficient iterative solvers for generalized Stokes equations. Numer. Linear Algebra Appl. 15(1): 13-34 (2008) - [j25]Michel F. M. Speetjens, Arnold Reusken, Stanislaus Maier-Paape, Wolfgang Marquardt:
Stability Analysis of Two-Dimensional Pool-Boiling Systems. SIAM J. Appl. Dyn. Syst. 7(3): 933-961 (2008) - [j24]Maka Karalashvili, Sven Groß, Adel Mhamdi, Arnold Reusken, Wolfgang Marquardt:
Incremental Identification of Transport Coefficients in Convection-Diffusion Systems. SIAM J. Sci. Comput. 30(6): 3249-3269 (2008) - 2007
- [j23]Arnold Reusken, M. Soemers:
On the robustness of a multigrid method for anisotropic reaction-diffusion problems. Computing 80(4): 299-317 (2007) - [j22]Sven Groß, Arnold Reusken:
An extended pressure finite element space for two-phase incompressible flows with surface tension. J. Comput. Phys. 224(1): 40-58 (2007) - [j21]Sven Groß, Arnold Reusken:
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows. SIAM J. Numer. Anal. 45(4): 1679-1700 (2007) - 2006
- [j20]Maxim A. Olshanskii, Arnold Reusken:
Analysis of a Stokes interface problem. Numerische Mathematik 103(1): 129-149 (2006) - [j19]Maxim A. Olshanskii, Jörg Peters, Arnold Reusken:
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. Numerische Mathematik 105(1): 159-191 (2006) - 2005
- [j18]Sven Groß, Arnold Reusken:
Parallel Multilevel Tetrahedral Grid Refinement. SIAM J. Sci. Comput. 26(4): 1261-1288 (2005) - [j17]Jörg Peters, Volker Reichelt, Arnold Reusken:
Fast Iterative Solvers for Discrete Stokes Equations. SIAM J. Sci. Comput. 27(2): 646-666 (2005) - 2004
- [j16]Maxim A. Olshanskii, Arnold Reusken:
Grad-div stablilization for Stokes equations. Math. Comput. 73(248): 1699-1718 (2004) - [j15]Maxim A. Olshanskii, Arnold Reusken:
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. SIAM J. Numer. Anal. 42(3): 1261-1291 (2004) - 2003
- [j14]Arnold Reusken:
Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations. SIAM J. Numer. Anal. 41(4): 1388-1405 (2003) - 2002
- [j13]Arnold Reusken:
Convergence analysis of a multigrid method for convection-diffusion equations. Numerische Mathematik 91(2): 323-349 (2002) - [j12]Arnold Reusken:
Approximation of the Determinant of Large Sparse Symmetric Positive Definite Matrices. SIAM J. Matrix Anal. Appl. 23(3): 799-818 (2002) - [j11]Maxim A. Olshanskii, Arnold Reusken:
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem. SIAM J. Sci. Comput. 23(5): 1683-1706 (2002) - 2001
- [j10]Oliver Bröker, Marcus J. Grote, Carsten Mayer, Arnold Reusken:
Robust Parallel Smoothing for Multigrid Via Sparse Approximate Inverses. SIAM J. Sci. Comput. 23(4): 1396-1417 (2001) - 2000
- [j9]Maxim A. Olshanskii, Arnold Reusken:
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems. Computing 65(3): 193-202 (2000)
1990 – 1999
- 1999
- [j8]Jürgen Bey, Arnold Reusken:
On the convergence of basic iterative methods for convection-diffusion equations. Numer. Linear Algebra Appl. 6(5): 329-352 (1999) - [j7]Arnold Reusken:
On the Approximate Cyclic Reduction Preconditioner. SIAM J. Sci. Comput. 21(2): 565-590 (1999) - 1998
- [j6]M. J. H. Anthonissen, B. van't Hof, Arnold Reusken:
A Finite Volume Scheme for Solving Elliptic Boundary Value Problems on Composite Grids. Computing 61(4): 285-306 (1998) - 1996
- [j5]P. J. J. Ferket, Arnold Reusken:
Further Analysis of the Local Defect Correction Method. Computing 56(2): 117-140 (1996) - [j4]Arnold Reusken:
On a Robust Multigrid Solver. Computing 56(3): 303-322 (1996) - [j3]P. J. J. Ferket, Arnold Reusken:
A Finite Difference Discretization Method for Elliptic Problems Composite Grids. Computing 56(4): 343-370 (1996) - [j2]Arnold Reusken:
A Multigrid Method Based on Incomplete Gaussian Elimination. Numer. Linear Algebra Appl. 3(5): 369-390 (1996) - 1993
- [j1]Arnold Reusken:
Multigrid with matrix-dependent transfer operators for a singular perturbation problem. Computing 50(3): 199-211 (1993)
Coauthor Index
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