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ORCIDGunar Matthies
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Journal Articles
- 2022
[j23]Simon Becher
, Gunar Matthies:
Unified analysis for variational time discretizations of higher order and higher regularity applied to non-stiff ODEs. Numer. Algorithms 89(4): 1533-1565 (2022)- 2018
- [j22]Naveed Ahmed, Volker John, Gunar Matthies, Julia Novo:
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Appl. Math. Comput. 333: 304-324 (2018) - [j21]Sebastian Franz, Gunar Matthies:
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. Math. Comput. 87(313): 2113-2132 (2018) - 2017
- [j20]Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John:
ParMooN - A modernized program package based on mapped finite elements. Comput. Math. Appl. 74(1): 74-88 (2017) - 2016
- [j19]Naveed Ahmed, Gunar Matthies:
Numerical Study of SUPG and LPS Methods Combined with Higher Order Variational Time Discretization Schemes Applied to Time-Dependent Linear Convection-Diffusion-Reaction Equations. J. Sci. Comput. 67(3): 988-1018 (2016) - 2012
- [j18]Gunar Matthies, Lutz Tobiska:
A two-level local projection stabilisation on uniformly refined triangular meshes. Numer. Algorithms 61(3): 465-478 (2012) - 2011
- [j17]Naveed Ahmed, Gunar Matthies, Lutz Tobiska:
Finite element methods of an operator splitting applied to population balance equations. J. Comput. Appl. Math. 236(6): 1604-1621 (2011) - 2010
- [j16]Sebastian Franz, Gunar Matthies:
Local projection stabilisation on S-type meshes for convection-diffusion problems with characteristic layers. Computing 87(3-4): 135-167 (2010) - 2009
- [j15]Gunar Matthies:
Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes. Adv. Comput. Math. 30(4): 315-337 (2009) - [j14]Gunar Matthies, Nikolai I. Ionkin, Gert Lube, L. Röhe:
Some Remarks on Residual-based Stabilisation of Inf-sup Stable Discretisations of the Generalised Oseen Problem. Comput. Methods Appl. Math. 9(4): 368-390 (2009) - 2008
- [j13]Alexander Linke, Gunar Matthies, Lutz Tobiska:
Non-nested multi-grid solvers for mixed divergence-free Scott-Vogelius discretizations. Computing 83(2-3): 87-107 (2008) - [j12]Gunar Matthies, Friedhelm Schieweck:
Nonconforming finite elements of higher order satisfying a new compatibility condition. J. Num. Math. 16(1): 23-50 (2008) - [j11]Sashikumaar Ganesan, Gunar Matthies, Lutz Tobiska:
Local projection stabilization of equal order interpolation applied to the Stokes problem. Math. Comput. 77(264): 2039-2060 (2008) - [j10]Thomas Apel, Gunar Matthies:
Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem. SIAM J. Numer. Anal. 46(4): 1867-1891 (2008) - 2007
- [j9]Gunar Matthies, Friedhelm Schieweck:
On the reference mapping for quadrilateral and hexahedral finite elements on multilevel adaptive grids. Computing 80(2): 95-119 (2007) - [j8]Gunar Matthies, Lutz Tobiska:
Mass conservation of finite element methods for coupled flow-transport problems. Int. J. Comput. Sci. Math. 1(2/3/4): 293-307 (2007) - [j7]Leopoldo P. Franca, Volker John, Gunar Matthies, Lutz Tobiska:
An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations. SIAM J. Numer. Anal. 45(6): 2392-2407 (2007) - 2006
- [j6]Gunar Matthies, Friedhelm Schieweck:
A Multigrid Method for Incompressible Flow Problems Using Quasi Divergence Free Functions. SIAM J. Sci. Comput. 28(1): 141-171 (2006) - 2005
- [j5]Gunar Matthies, Lutz Tobiska:
Inf-sup stable non-conforming finite elements of arbitrary order on triangles. Numerische Mathematik 102(2): 293-309 (2005) - 2002
- [j4]Volker John, Petr Knobloch, Gunar Matthies, Lutz Tobiska:
Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68(4): 313-341 (2002) - [j3]Gunar Matthies, Lutz Tobiska:
The Inf-Sup Condition for the Mapped Qk-Pk-1disc Element in Arbitrary Space Dimensions. Computing 69(2): 119-139 (2002) - 2001
- [j2]Gunar Matthies, Lutz Tobiska:
The Streamline-Diffusion Method for Conforming and Nonconforming Finite Elements of Lowest Order Applied to Convection-Diffusion Problems. Computing 66(4): 343-364 (2001) - [j1]Gunar Matthies:
Mapped Finite Elements on Hexahedra. Necessary and Sufficient Conditions for Optimal Interpolation Errors. Numer. Algorithms 27(4): 317-327 (2001)
Conference and Workshop Papers
- 2016
- [c2]Sashikumaar Ganesan, Volker John, Gunar Matthies, Raviteja Meesala, Shamim Abdus, Ulrich Wilbrandt:
An Object Oriented Parallel Finite Element Scheme for Computations of PDEs: Design and Implementation. HiPC Workshops 2016: 106-115 - 1999
- [c1]Volker John, Gunar Matthies, Teodora Mitkova, Lutz Tobiska, Panayot S. Vassilevski:
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. LSSC 1999: 215-222
Informal and Other Publications
- 2021
- [i6]Simon Becher, Gunar Matthies:
Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs. CoRR abs/2105.06862 (2021) - 2020
- [i5]Simon Becher, Gunar Matthies:
Variational Time Discretizations of Higher Order and Higher Regularity. CoRR abs/2003.04056 (2020) - 2019
- [i4]Mathias Anselmann, Markus Bause, Simon Becher, Gunar Matthies:
Galerkin-collocation approximation in time for the wave equation and its post-processing. CoRR abs/1908.08238 (2019) - [i3]Naveed Ahmed, Gunar Matthies:
Higher-order discontinuous Galerkin time discretizations the evolutionary Navier-Stokes equations. CoRR abs/1910.12599 (2019) - 2017
- [i2]Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John:
ParMooN - a modernized program package based on mapped finite elements. CoRR abs/1705.08784 (2017) - 2016
- [i1]Sashikumaar Ganesan, Volker John, Gunar Matthies, Raviteja Meesala, Shamim Abdus, Ulrich Wilbrandt:
An object oriented parallel finite element scheme for computations of PDEs: Design and implementation. CoRR abs/1609.04809 (2016)
Coauthor Index
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