Guido Kanschat

Orcid: 0000-0003-1687-7328

Affiliations:
  • Heidelberg University, Germany


According to our database1, Guido Kanschat authored at least 52 papers between 1997 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Multigrid methods for the Stokes problem on GPU systems.
CoRR, 2024

Smoothers with localized residual computations for geometric multigrid methods.
CoRR, 2024

An implementation of tensor product patch smoothers on GPU.
CoRR, 2024

Multilevel Interior Penalty Methods on GPUs.
CoRR, 2024

Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions.
CoRR, 2024

Homogeneous multigrid for hybrid discretizations: application to HHO methods.
CoRR, 2024

2023
Two-level Schwarz Methods for Hybridizable Discontinuous Galerkin Methods.
J. Sci. Comput., April, 2023

Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems.
CoRR, 2023

Discrete tensor product BGG sequences: splines and finite elements.
CoRR, 2023

Homogeneous multigrid method for HDG applied to the Stokes equation.
CoRR, 2023

2022
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods.
SIAM J. Numer. Anal., August, 2022

A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity.
CoRR, 2022

2021
A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM.
ACM Trans. Math. Softw., 2021

Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations.
CoRR, 2021

Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods.
CoRR, 2021

Homogeneous multigrid for embedded discontinuous Galerkin methods.
CoRR, 2021

Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods.
Comput. Methods Appl. Math., 2021

Sino-German Computational and Applied Mathematics.
Comput. Methods Appl. Math., 2021

A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes.
Comput. Methods Appl. Math., 2021

2020
ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale.
Proceedings of the Software for Exascale Computing - SPPEXA 2016-2019, 2020

A Robust A Posteriori Error Estimator for Divergence-Conforming Discontinuous Galerkin Methods for the Oseen Equation.
SIAM J. Numer. Anal., 2020

HMG - Homogeneous multigrid for HDG.
CoRR, 2020

H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes.
CoRR, 2020

2018
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model.
J. Sci. Comput., 2018

A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem.
J. Num. Math., 2018

Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems.
CoRR, 2018

2017
Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study.
J. Comput. Appl. Math., 2017

2016
The deal.II Library, Version 8.4.
J. Num. Math., 2016

A Weakly Penalized Discontinuous Galerkin Method for Radiation in Dense, Scattering Media.
Comput. Methods Appl. Math., 2016

2015
Multigrid methods for Hdiv-conforming discontinuous Galerkin methods for the Stokes equations.
J. Num. Math., 2015

2014
A Robust Multigrid Preconditioner for S<sub>N</sub>DG Approximation of Monochromatic, Isotropic Radiation Transport Problems.
SIAM J. Sci. Comput., 2014

Divergence-Conforming Discontinuous Galerkin Methods and C<sup>0</sup> Interior Penalty Methods.
SIAM J. Numer. Anal., 2014

Error analysis for a monolithic discretization of coupled Darcy and Stokes problems.
J. Num. Math., 2014

2013
The deal.II Library, Version 8.1.
CoRR, 2013

2012
A robust S<sub>N</sub>-DG-approximation for radiation transport in optically thick and diffusive regimes.
J. Comput. Phys., 2012

2011
Adaptive Multilevel Methods with Local Smoothing for H<sup>1</sup>- and H<sup>curl</sup>-Conforming High Order Finite Element Methods.
SIAM J. Sci. Comput., 2011

2010
Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit.
SIAM J. Numer. Anal., 2010

A strongly conservative finite element method for the coupling of Stokes and Darcy flow.
J. Comput. Phys., 2010

2009
An Equal-Order DG Method for the Incompressible Navier-Stokes Equations.
J. Sci. Comput., 2009

Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems.
J. Num. Math., 2009

2008
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method.
SIAM J. Numer. Anal., 2008

2007
deal.II - A general-purpose object-oriented finite element library.
ACM Trans. Math. Softw., 2007

A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations.
J. Sci. Comput., 2007

2005
A locally conservative LDG method for the incompressible Navier-Stokes equations.
Math. Comput., 2005

Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems.
J. Sci. Comput., 2005

2004
The local discontinuous Galerkin method for the Oseen equations.
Math. Comput., 2004

2003
Preconditioning Methods for Local Discontinuous Galerkin Discretizations.
SIAM J. Sci. Comput., 2003

A multilevel discontinuous Galerkin method.
Numerische Mathematik, 2003

2002
Local Discontinuous Galerkin Methods for the Stokes System.
SIAM J. Numer. Anal., 2002

Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems.
J. Num. Math., 2002

2001
Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids.
SIAM J. Numer. Anal., 2001

1997
A Posteriori Error Control in Radiative Transfer.
Computing, 1997


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