A Posteriori Error Control in Radiative Transfer. - Christian Führer; Guido Kanschat (Computing, 1997)

Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids. - Bernardo Cockburn; Guido Kanschat; Ilaria Perugia; Dominik Schötzau (SIAM J. Numer. Anal., 2001)

Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. - Guido Kanschat; Rolf Rannacher (J. Num. Math., 2002)

Local Discontinuous Galerkin Methods for the Stokes System. - Bernardo Cockburn; Guido Kanschat; Dominik Schötzau; Christoph Schwab (SIAM J. Numer. Anal., 2002)

A multilevel discontinuous Galerkin method. - Jay Gopalakrishnan; Guido Kanschat (Numerische Mathematik, 2003)

Preconditioning Methods for Local Discontinuous Galerkin Discretizations. - Guido Kanschat (SIAM J. Sci. Comput., 2003)

The local discontinuous Galerkin method for the Oseen equations. - Bernardo Cockburn; Guido Kanschat; Dominik Schötzau (Math. Comput., 2004)

Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems. - Guido Kanschat (J. Sci. Comput., 2005)

A locally conservative LDG method for the incompressible Navier-Stokes equations. - Bernardo Cockburn; Guido Kanschat; Dominik Schötzau (Math. Comput., 2005)

A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations. - Bernardo Cockburn; Guido Kanschat; Dominik Schötzau (J. Sci. Comput., 2007)

deal.II - A general-purpose object-oriented finite element library. - Wolfgang Bangerth; Ralf Hartmann; Guido Kanschat (ACM Trans. Math. Softw., 2007)

Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method. - R. H. W. Hoppe; Guido Kanschat; Tim Warburton (SIAM J. Numer. Anal., 2008)

Mesh adaptive multiple shooting for partial differential equations. Part I: linear quadratic optimal control problems. - Helke Karen Hesse; Guido Kanschat (J. Num. Math., 2009)

An Equal-Order DG Method for the Incompressible Navier-Stokes Equations. - Bernardo Cockburn; Guido Kanschat; Dominik Schötzau (J. Sci. Comput., 2009)

A strongly conservative finite element method for the coupling of Stokes and Darcy flow. - Guido Kanschat; Beatrice Riviere (J. Comput. Phys., 2010)

Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit. - Jean-Luc Guermond; Guido Kanschat (SIAM J. Numer. Anal., 2010)

Adaptive Multilevel Methods with Local Smoothing for H1- and Hcurl-Conforming High Order Finite Element Methods. - Bärbel Janssen; Guido Kanschat (SIAM J. Sci. Comput., 2011)

A robust SN-DG-approximation for radiation transport in optically thick and diffusive regimes. - Jean C. Ragusa; Jean-Luc Guermond; Guido Kanschat (J. Comput. Phys., 2012)

The deal.II Library, Version 8.1. - Wolfgang Bangerth; Timo Heister; Luca Heltai; Guido Kanschat; Martin Kronbichler 002; Matthias Maier; Bruno Turcksin; Toby D. Young (CoRR, 2013)

Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. - Vivette Girault; Guido Kanschat; Beatrice Riviere (J. Num. Math., 2014)

Divergence-Conforming Discontinuous Galerkin Methods and C0 Interior Penalty Methods. - Guido Kanschat; Natasha Sharma (SIAM J. Numer. Anal., 2014)

A Robust Multigrid Preconditioner for SNDG Approximation of Monochromatic, Isotropic Radiation Transport Problems. - Guido Kanschat; Jean C. Ragusa (SIAM J. Sci. Comput., 2014)

Multigrid methods for Hdiv-conforming discontinuous Galerkin methods for the Stokes equations. - Guido Kanschat; Youli Mao (J. Num. Math., 2015)

A Weakly Penalized Discontinuous Galerkin Method for Radiation in Dense, Scattering Media. - Guido Kanschat; José Pablo Lucero Lorca (Comput. Methods Appl. Math., 2016)

The deal.II Library, Version 8.4. - Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Guido Kanschat; Martin Kronbichler 002; Matthias Maier; Bruno Turcksin; David R. Wells (J. Num. Math., 2016)

Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study. - Guido Kanschat; Raytcho D. Lazarov; Youli Mao (J. Comput. Appl. Math., 2017)

Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. - José Pablo Lucero Lorca; Guido Kanschat (CoRR, 2018)

A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. - Natasha Sharma; Guido Kanschat (J. Num. Math., 2018)

A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model. - Guido Kanschat; Beatrice Riviere (J. Sci. Comput., 2018)

H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes. - Francesca Bonizzoni; Guido Kanschat (CoRR, 2020)

HMG - Homogeneous multigrid for HDG. - Peipei Lu; Andreas Rupp; Guido Kanschat (CoRR, 2020)

A Robust A Posteriori Error Estimator for Divergence-Conforming Discontinuous Galerkin Methods for the Oseen Equation. - Arbaz Khan; Guido Kanschat (SIAM J. Numer. Anal., 2020)

ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale. - Daniel Arndt 003; Niklas Fehn; Guido Kanschat; Katharina Kormann; Martin Kronbichler 002; Peter Munch; Wolfgang A. Wall; Julius Witte (Software for Exascale Computing, 2020)

A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes. - Daniel Arndt 003; Guido Kanschat (Comput. Methods Appl. Math., 2021)

Sino-German Computational and Applied Mathematics. - Malte Braack; Dietmar Gallistl; Jun Hu 013; Guido Kanschat; Xuejun Xu (Comput. Methods Appl. Math., 2021)

Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. - Julius Witte; Daniel Arndt 003; Guido Kanschat (Comput. Methods Appl. Math., 2021)

Homogeneous multigrid for embedded discontinuous Galerkin methods. - Peipei Lu; Andreas Rupp; Guido Kanschat (CoRR, 2021)

Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods. - Peipei Lu; Andreas Rupp; Guido Kanschat (CoRR, 2021)

Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations. - Andreas Rupp; Markus Gahn; Guido Kanschat (CoRR, 2021)

A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM. - Thomas C. Clevenger; Timo Heister; Guido Kanschat; Martin Kronbichler 002 (ACM Trans. Math. Softw., 2021)

A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity. - Francesca Bonizzoni; Guido Kanschat (CoRR, 2022)

Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods. - Peipei Lu; Andreas Rupp; Guido Kanschat (SIAM J. Numer. Anal., 2022)

Homogeneous multigrid method for HDG applied to the Stokes equation. - Peipei Lu; Wei Wang; Guido Kanschat; Andreas Rupp (CoRR, 2023)

Discrete tensor product BGG sequences: splines and finite elements. - Francesca Bonizzoni; Kaibo Hu; Guido Kanschat; Duygu Sap (CoRR, 2023)

Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems. - Matei Hanu; Jürgen Hesser; Guido Kanschat; Javier Moviglia; Claudia Schillings; Jan Stallkamp (CoRR, 2023)

Two-level Schwarz Methods for Hybridizable Discontinuous Galerkin Methods. - Peipei Lu; Andreas Rupp; Guido Kanschat (J. Sci. Comput., 2023)

Homogeneous multigrid for hybrid discretizations: application to HHO methods. - Daniele A. Di Pietro; Zhaonan Dong; Guido Kanschat; Pierre Matalon; Andreas Rupp (CoRR, 2024)

Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions. - Stefan Meggendorfer; Guido Kanschat; Johannes Kraus 001 (CoRR, 2024)

Multilevel Interior Penalty Methods on GPUs. - Cu Cui; Guido Kanschat (CoRR, 2024)

An implementation of tensor product patch smoothers on GPU. - Cu Cui; Paul Grosse-Bley; Guido Kanschat; Robert Strzodka (CoRR, 2024)

Smoothers with localized residual computations for geometric multigrid methods. - Michal Wichrowski; Peter Munch; Martin Kronbichler 002; Guido Kanschat (CoRR, 2024)

Multigrid methods for the Stokes problem on GPU systems. - Cu Cui; Guido Kanschat (CoRR, 2024)

8th Chinese-German Workshop on Computational and Applied Mathematics. - Malte Braack; Jun Hu 013; Guido Kanschat; Xuejun Xu (Comput. Methods Appl. Math., 2025)

Tensor-Product Vertex Patch Smoothers for Biharmonic Problems. - Julius Witte; Cu Cui; Francesca Bonizzoni; Guido Kanschat (Comput. Methods Appl. Math., 2025)

An Implementation of Tensor Product Patch Smoothers on GPUs. - Cu Cui; Paul Grosse-Bley; Guido Kanschat; Robert Strzodka (SIAM J. Sci. Comput., 2025)

Smoothers with Localized Residual Computations for Geometric Multigrid Methods for Higher-Order Finite Elements. - Michal Wichrowski; Peter Munch; Martin Kronbichler 002; Guido Kanschat (SIAM J. Sci. Comput., 2025)

A multigrid method for CutFEM and its implementation on GPU. - Cu Cui; Guido Kanschat (CoRR, 2025)