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Variational time discretizations of higher order and higher regularity

BIT, 2021-09, Vol.61 (3), p.721-755

2021

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A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time

Mathematics of computation, 2018-09, Vol.87 (313), p.2113-2132

2018

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Local projection stabilization of equal order interpolation applied to the Stokes problem

Mathematics of computation, 2008-10, Vol.77 (264), p.2039-2060

2008

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Higher-order discontinuous Galerkin time discretizations for the evolutionary Navier–Stokes equations

IMA journal of numerical analysis, 2021-10, Vol.41 (4), p.3113-3144

2021

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Unified analysis for variational time discretizations of higher order and higher regularity applied to non-stiff ODEs

Numerical algorithms, 2022-04, Vol.89 (4), p.1533-1565

2022

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Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors

ESAIM: Mathematical Modelling and Numerical Analysis, 2016-01, Vol.50 (1), p.289-309

2016

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Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem

Computer methods in applied mechanics and engineering, 2017-01, Vol.313, p.28-52

2017

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Numerical Study of SUPG and LPS Methods Combined with Higher Order Variational Time Discretization Schemes Applied to Time-Dependent Linear Convection–Diffusion–Reaction Equations

Journal of scientific computing, 2016-06, Vol.67 (3), p.988-1018

2016

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Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations

ESAIM: Mathematical Modelling and Numerical Analysis, 2015-09, Vol.49 (5), p.1429-1450

2015

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Numerical simulation of normal-field instability in the static and dynamic case

Journal of magnetism and magnetic materials, 2005-03, Vol.289, p.346-349

2005

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Galerkin–collocation approximation in time for the wave equation and its post-processing

ESAIM: Mathematical Modelling and Numerical Analysis, 2020-11, Vol.54 (6), p.2099-2123

2020

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A local projection stabilization/continuous Galerkin–Petrov method for incompressible flow problems

Applied mathematics and computation, 2018-09, Vol.333, p.304-324

2018

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ParMooN—A modernized program package based on mapped finite elements

Computers & mathematics with applications (1987), 2017-07, Vol.74 (1), p.74-88

2017

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Local projection methods on layer-adapted meshes for higher order discretisations of convection–diffusion problems

Applied numerical mathematics, 2009-10, Vol.59 (10), p.2515-2533

Matthies, Gunar

2009

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Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem

IMA journal of numerical analysis, 2015-01, Vol.35 (1), p.239-269

2015

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On spurious velocities in incompressible flow problems with interfaces

Computer methods in applied mechanics and engineering, 2007-01, Vol.196 (7), p.1193-1202

2007

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Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes

Advances in computational mathematics, 2009-05, Vol.30 (4), p.315-337

Matthies, Gunar

2009

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MooNMD – a program package based on mapped finite element methods

Computing and visualization in science, 2004-03, Vol.6 (2-3), p.163-170

2004

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Local projection stabilisation on S-type meshes for convection–diffusion problems with characteristic layers

Computing, 2010-05, Vol.87 (3-4), p.135-167

2010

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A two-level local projection stabilisation on uniformly refined triangular meshes

Numerical algorithms, 2012-11, Vol.61 (3), p.465-478

2012

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Finite element methods of an operator splitting applied to population balance equations

Journal of computational and applied mathematics, 2011-10, Vol.236 (6), p.1604-1621

2011

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Grad-div stabilized discretizations on S-type meshes for the Oseen problem

IMA journal of numerical analysis, 2018-01, Vol.38 (1), p.299-329

2018

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A comparison of time-discretization/linearization approaches for the incompressible Navier–Stokes equations

Computer methods in applied mechanics and engineering, 2006-09, Vol.195 (44), p.5995-6010

2006

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Stabilized finite element discretization applied to an operator-splitting method of population balance equations

Applied numerical mathematics, 2013-08, Vol.70, p.58-79

2013

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Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements

Applied numerical mathematics, 2011-06, Vol.61 (6), p.723-737

2011

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Variational time discretizations of higher order and higher regularity

A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time

Local projection stabilization of equal order interpolation applied to the Stokes problem

Higher-order discontinuous Galerkin time discretizations for the evolutionary Navier–Stokes equations

Unified analysis for variational time discretizations of higher order and higher regularity applied to non-stiff ODEs

Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors

Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem

Numerical Study of SUPG and LPS Methods Combined with Higher Order Variational Time Discretization Schemes Applied to Time-Dependent Linear Convection–Diffusion–Reaction Equations

Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations

Numerical simulation of normal-field instability in the static and dynamic case

Galerkin–collocation approximation in time for the wave equation and its post-processing

A local projection stabilization/continuous Galerkin–Petrov method for incompressible flow problems

ParMooN—A modernized program package based on mapped finite elements

Local projection methods on layer-adapted meshes for higher order discretisations of convection–diffusion problems

Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem

On spurious velocities in incompressible flow problems with interfaces

Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes

MooNMD – a program package based on mapped finite element methods

Local projection stabilisation on S-type meshes for convection–diffusion problems with characteristic layers

A two-level local projection stabilisation on uniformly refined triangular meshes

Finite element methods of an operator splitting applied to population balance equations

Grad-div stabilized discretizations on S-type meshes for the Oseen problem

A comparison of time-discretization/linearization approaches for the incompressible Navier–Stokes equations

Stabilized finite element discretization applied to an operator-splitting method of population balance equations

Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements

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