Guido Kanschat

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 29

Top Topics

Top Venues

Comput. Methods Appl. Math.

SIAM J. Numer. Anal.

Publications

Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp
Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR (2024)
Cu Cui, Paul Grosse-Bley, Guido Kanschat, Robert Strzodka
An implementation of tensor product patch smoothers on GPU. CoRR (2024)
Stefan Meggendorfer, Guido Kanschat, Johannes Kraus
Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions. CoRR (2024)
Cu Cui, Guido Kanschat
Multilevel Interior Penalty Methods on GPUs. CoRR (2024)
Michal Wichrowski, Peter Munch, Martin Kronbichler, Guido Kanschat
Smoothers with localized residual computations for geometric multigrid methods. CoRR (2024)
Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, Duygu Sap
Discrete tensor product BGG sequences: splines and finite elements. CoRR (2023)
Peipei Lu, Andreas Rupp, Guido Kanschat
Two-level Schwarz Methods for Hybridizable Discontinuous Galerkin Methods. J. Sci. Comput. 95 (1) (2023)
Peipei Lu, Wei Wang, Guido Kanschat, Andreas Rupp
Homogeneous multigrid method for HDG applied to the Stokes equation. CoRR (2023)
Matei Hanu, Jürgen Hesser, Guido Kanschat, Javier Moviglia, Claudia Schillings, Jan Stallkamp
Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems. CoRR (2023)
Peipei Lu, Andreas Rupp, Guido Kanschat
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods. SIAM J. Numer. Anal. 60 (4) (2022)
Francesca Bonizzoni, Guido Kanschat
A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity. CoRR (2022)
Julius Witte, Daniel Arndt, Guido Kanschat
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. Comput. Methods Appl. Math. 21 (3) (2021)
Peipei Lu, Andreas Rupp, Guido Kanschat
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods. CoRR (2021)
Thomas C. Clevenger, Timo Heister, Guido Kanschat, Martin Kronbichler
A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM. ACM Trans. Math. Softw. 47 (1) (2021)
Daniel Arndt, Guido Kanschat
A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes. Comput. Methods Appl. Math. 21 (1) (2021)
Peipei Lu, Andreas Rupp, Guido Kanschat
Homogeneous multigrid for embedded discontinuous Galerkin methods. CoRR (2021)
Malte Braack, Dietmar Gallistl, Jun Hu, Guido Kanschat, Xuejun Xu
Sino-German Computational and Applied Mathematics. Comput. Methods Appl. Math. 21 (3) (2021)
Andreas Rupp, Markus Gahn, Guido Kanschat
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations. CoRR (2021)
Arbaz Khan, Guido Kanschat
A Robust A Posteriori Error Estimator for Divergence-Conforming Discontinuous Galerkin Methods for the Oseen Equation. SIAM J. Numer. Anal. 58 (1) (2020)
Francesca Bonizzoni, Guido Kanschat
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes. CoRR (2020)
Peipei Lu, Andreas Rupp, Guido Kanschat
HMG - Homogeneous multigrid for HDG. CoRR (2020)
Julius Witte, Daniel Arndt, Guido Kanschat
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. CoRR (2019)
Thomas C. Clevenger, Timo Heister, Guido Kanschat, Martin Kronbichler
A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM. CoRR (2019)
Natasha Sharma, Guido Kanschat
A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. J. Num. Math. 26 (4) (2018)
Guido Kanschat, Béatrice Rivière
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model. J. Sci. Comput. 77 (3) (2018)
José Pablo Lucero Lorca, Guido Kanschat
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. CoRR (2018)
Guido Kanschat, Raytcho D. Lazarov, Youli Mao
Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study. J. Comput. Appl. Math. 310 (2017)
Guido Kanschat, José Pablo Lucero Lorca
A Weakly Penalized Discontinuous Galerkin Method for Radiation in Dense, Scattering Media. Comput. Methods Appl. Math. 16 (4) (2016)
Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, Bruno Turcksin, David Wells
The deal.II Library, Version 8.4. J. Num. Math. 24 (3) (2016)
Guido Kanschat, Youli Mao
Multigrid methods for Hdiv-conforming discontinuous Galerkin methods for the Stokes equations. J. Num. Math. 23 (1) (2015)
Guido Kanschat, Jean C. Ragusa
DG Approximation of Monochromatic, Isotropic Radiation Transport Problems. SIAM J. Sci. Comput. 36 (5) (2014)
Vivette Girault, Guido Kanschat, Béatrice Rivière
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. J. Num. Math. 22 (2) (2014)
Guido Kanschat, Natasha Sharma
Interior Penalty Methods. SIAM J. Numer. Anal. 52 (4) (2014)
Wolfgang Bangerth, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, Bruno Turcksin, Toby D. Young
The deal.II Library, Version 8.1. CoRR (2013)
Jean C. Ragusa, Jean-Luc Guermond, Guido Kanschat
-DG-approximation for radiation transport in optically thick and diffusive regimes. J. Comput. Phys. 231 (4) (2012)
Bärbel Janssen, Guido Kanschat
-Conforming High Order Finite Element Methods. SIAM J. Sci. Comput. 33 (4) (2011)
Guido Kanschat, Béatrice Rivière
A strongly conservative finite element method for the coupling of Stokes and Darcy flow. J. Comput. Phys. 229 (17) (2010)
Jean-Luc Guermond, Guido Kanschat
Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit. SIAM J. Numer. Anal. 48 (1) (2010)
Helke Karen Hesse, Guido Kanschat
Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems. J. Num. Math. 17 (3) (2009)
Bernardo Cockburn, Guido Kanschat, Dominik Schötzau
An Equal-Order DG Method for the Incompressible Navier-Stokes Equations. J. Sci. Comput. 40 (1-3) (2009)
R. H. W. Hoppe, Guido Kanschat, Tim Warburton
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method. SIAM J. Numer. Anal. 47 (1) (2008)
Bernardo Cockburn, Guido Kanschat, Dominik Schötzau
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations. J. Sci. Comput. 31 (1-2) (2007)
Wolfgang Bangerth, Ralf Hartmann, Guido Kanschat
deal.II - A general-purpose object-oriented finite element library. ACM Trans. Math. Softw. 33 (4) (2007)
Guido Kanschat
Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems. J. Sci. Comput. 22 (1) (2005)
Bernardo Cockburn, Guido Kanschat, Dominik Schötzau
A locally conservative LDG method for the incompressible Navier-Stokes equations. Math. Comput. 74 (251) (2005)
Bernardo Cockburn, Guido Kanschat, Dominik Schötzau
The local discontinuous Galerkin method for the Oseen equations. Math. Comput. 73 (246) (2004)
Jay Gopalakrishnan, Guido Kanschat
A multilevel discontinuous Galerkin method. Numerische Mathematik 95 (3) (2003)
Jay Gopalakrishnan, Guido Kanschat
A multilevel discontinuous Galerkin method. Numerische Mathematik 95 (3) (2003)
Guido Kanschat
Preconditioning Methods for Local Discontinuous Galerkin Discretizations. SIAM J. Sci. Comput. 25 (3) (2003)
Bernardo Cockburn, Guido Kanschat, Dominik Schötzau, Christoph Schwab
Local Discontinuous Galerkin Methods for the Stokes System. SIAM J. Numer. Anal. 40 (1) (2002)
Guido Kanschat, Rolf Rannacher
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. J. Num. Math. 10 (4) (2002)
Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau
Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids. SIAM J. Numer. Anal. 39 (1) (2001)
C. Führer, Guido Kanschat
A Posteriori Error Control in Radiative Transfer. Computing 58 (4) (1997)