Gunar Matthies

Publication Activity (10 Years)

Years Active: 1999-2022
Publications (10 Years): 12

Top Topics

Anti Unification

Object Oriented

Top Venues

Comput. Math. Appl.

Appl. Math. Comput.

Publications

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) (2022)
Simon Becher, Gunar Matthies
Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs. CoRR (2021)
Simon Becher, Gunar Matthies
Variational Time Discretizations of Higher Order and Higher Regularity. CoRR (2020)
Mathias Anselmann, Markus Bause, Simon Becher, Gunar Matthies
Galerkin-collocation approximation in time for the wave equation and its post-processing. CoRR (2019)
Naveed Ahmed, Gunar Matthies
Higher-order discontinuous Galerkin time discretizations the evolutionary Navier-Stokes equations. CoRR (2019)
Naveed Ahmed, Volker John, Gunar Matthies, Julia Novo
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Appl. Math. Comput. 333 (2018)
Sebastian Franz, Gunar Matthies
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. Math. Comput. 87 (313) (2018)
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 (2017)
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) (2017)
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 (2016)
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) (2016)
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)
Gunar Matthies, Lutz Tobiska
A two-level local projection stabilisation on uniformly refined triangular meshes. Numer. Algorithms 61 (3) (2012)
Naveed Ahmed, Gunar Matthies, Lutz Tobiska
Finite element methods of an operator splitting applied to population balance equations. J. Comput. Appl. Math. 236 (6) (2011)
Sebastian Franz, Gunar Matthies
Local projection stabilisation on S-type meshes for convection-diffusion problems with characteristic layers. Computing 87 (3-4) (2010)
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) (2009)
Gunar Matthies
Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes. Adv. Comput. Math. 30 (4) (2009)
Thomas Apel, Gunar Matthies
Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem. SIAM J. Numer. Anal. 46 (4) (2008)
Gunar Matthies, Friedhelm Schieweck
Nonconforming finite elements of higher order satisfying a new compatibility condition. J. Num. Math. 16 (1) (2008)
Sashikumaar Ganesan, Gunar Matthies, Lutz Tobiska
Local projection stabilization of equal order interpolation applied to the Stokes problem. Math. Comput. 77 (264) (2008)
Alexander Linke, Gunar Matthies, Lutz Tobiska
Non-nested multi-grid solvers for mixed divergence-free Scott-Vogelius discretizations. Computing 83 (2-3) (2008)
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) (2007)
Gunar Matthies, Lutz Tobiska
Mass conservation of finite element methods for coupled flow-transport problems. Int. J. Comput. Sci. Math. 1 (2/3/4) (2007)
Gunar Matthies, Friedhelm Schieweck
On the reference mapping for quadrilateral and hexahedral finite elements on multilevel adaptive grids. Computing 80 (2) (2007)
Gunar Matthies, Friedhelm Schieweck
A Multigrid Method for Incompressible Flow Problems Using Quasi Divergence Free Functions. SIAM J. Sci. Comput. 28 (1) (2006)
Gunar Matthies, Lutz Tobiska
Inf-sup stable non-conforming finite elements of arbitrary order on triangles. Numerische Mathematik 102 (2) (2005)
Gunar Matthies, Lutz Tobiska
disc Element in Arbitrary Space Dimensions. Computing 69 (2) (2002)
Volker John, Petr Knobloch, Gunar Matthies, Lutz Tobiska
Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. Computing 68 (4) (2002)
Gunar Matthies
Mapped Finite Elements on Hexahedra. Necessary and Sufficient Conditions for Optimal Interpolation Errors. Numer. Algorithms 27 (4) (2001)
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) (2001)
Volker John, Gunar Matthies, Teodora Mitkova, Lutz Tobiska, Panayot S. Vassilevski
A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. LSSC (1999)