A Comparison of Three Solvers for the Incompressible Navier-Stokes Equations. - Volker John; Gunar Matthies; Teodora Mitkova; Lutz Tobiska; Panayot S. Vassilevski (LSSC, 1999)

The Streamline-Diffusion Method for Conforming and Nonconforming Finite Elements of Lowest Order Applied to Convection-Diffusion Problems. - Gunar Matthies; Lutz Tobiska (Computing, 2001)

Mapped Finite Elements on Hexahedra. Necessary and Sufficient Conditions for Optimal Interpolation Errors. - Gunar Matthies (Numer. Algorithms, 2001)

Non-Nested Multi-Level Solvers for Finite Element Discretisations of Mixed Problems. - Volker John; Petr Knobloch; Gunar Matthies; Lutz Tobiska (Computing, 2002)

The Inf-Sup Condition for the Mapped Qk-Pk-1disc Element in Arbitrary Space Dimensions. - Gunar Matthies; Lutz Tobiska (Computing, 2002)

Inf-sup stable non-conforming finite elements of arbitrary order on triangles. - Gunar Matthies; Lutz Tobiska (Numerische Mathematik, 2005)

A Multigrid Method for Incompressible Flow Problems Using Quasi Divergence Free Functions. - Gunar Matthies; Friedhelm Schieweck (SIAM J. Sci. Comput., 2006)

On the reference mapping for quadrilateral and hexahedral finite elements on multilevel adaptive grids. - Gunar Matthies; Friedhelm Schieweck (Computing, 2007)

Mass conservation of finite element methods for coupled flow-transport problems. - Gunar Matthies; Lutz Tobiska (Int. J. Comput. Sci. Math., 2007)

An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations. - Leopoldo P. Franca; Volker John; Gunar Matthies; Lutz Tobiska (SIAM J. Numer. Anal., 2007)

Non-nested multi-grid solvers for mixed divergence-free Scott-Vogelius discretizations. - Alexander Linke; Gunar Matthies; Lutz Tobiska (Computing, 2008)

Nonconforming finite elements of higher order satisfying a new compatibility condition. - Gunar Matthies; Friedhelm Schieweck (J. Num. Math., 2008)

Local projection stabilization of equal order interpolation applied to the Stokes problem. - Sashikumaar Ganesan; Gunar Matthies; Lutz Tobiska (Math. Comput., 2008)

Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem. - Thomas Apel; Gunar Matthies (SIAM J. Numer. Anal., 2008)

Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes. - Gunar Matthies (Adv. Comput. Math., 2009)

Some Remarks on Residual-based Stabilisation of Inf-sup Stable Discretisations of the Generalised Oseen Problem. - Gunar Matthies; Nikolai I. Ionkin; Gert Lube; L. Röhe (Comput. Methods Appl. Math., 2009)

Local projection stabilisation on S-type meshes for convection-diffusion problems with characteristic layers. - Sebastian Franz; Gunar Matthies (Computing, 2010)

Finite element methods of an operator splitting applied to population balance equations. - Naveed Ahmed 004; Gunar Matthies; Lutz Tobiska (J. Comput. Appl. Math., 2011)

A two-level local projection stabilisation on uniformly refined triangular meshes. - Gunar Matthies; Lutz Tobiska (Numer. Algorithms, 2012)

An Object Oriented Parallel Finite Element Scheme for Computations of PDEs: Design and Implementation. - Sashikumaar Ganesan; Volker John; Gunar Matthies; Raviteja Meesala; Shamim Abdus; Ulrich Wilbrandt (HiPC Workshops, 2016)

Numerical Study of SUPG and LPS Methods Combined with Higher Order Variational Time Discretization Schemes Applied to Time-Dependent Linear Convection-Diffusion-Reaction Equations. - Naveed Ahmed 004; Gunar Matthies (J. Sci. Comput., 2016)

ParMooN - A modernized program package based on mapped finite elements. - Ulrich Wilbrandt; Clemens Bartsch; Naveed Ahmed 004; Najib Alia; Felix Anker; Laura Blank; Alfonso Caiazzo; Sashikumaar Ganesan; Swetlana Giere; Gunar Matthies; Raviteja Meesala; Abdus Shamim; et al. (Comput. Math. Appl., 2017)

A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. - Naveed Ahmed 004; Volker John; Gunar Matthies; Julia Novo (Appl. Math. Comput., 2018)

A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. - Sebastian Franz; Gunar Matthies (Math. Comput., 2018)

Galerkin-collocation approximation in time for the wave equation and its post-processing. - Mathias Anselmann; Markus Bause; Simon Becher; Gunar Matthies (CoRR, 2019)

Higher-order discontinuous Galerkin time discretizations the evolutionary Navier-Stokes equations. - Naveed Ahmed 004; Gunar Matthies (CoRR, 2019)

Variational Time Discretizations of Higher Order and Higher Regularity. - Simon Becher; Gunar Matthies (CoRR, 2020)

Unified analysis for variational time discretizations of higher order and higher regularity applied to non-stiff ODEs. - Simon Becher; Gunar Matthies (Numer. Algorithms, 2022)

Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing. - Mathias Anselmann; Markus Bause; Gunar Matthies; Friedhelm Schieweck (CoRR, 2025)