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Guido Kanschat
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- affiliation: Heidelberg University, Germany
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2020 – today
- 2024
- [i18]Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp:
Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR abs/2403.15858 (2024) - [i17]Stefan Meggendorfer, Guido Kanschat, Johannes Kraus:
Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions. CoRR abs/2404.16684 (2024) - [i16]Cu Cui, Guido Kanschat:
Multilevel Interior Penalty Methods on GPUs. CoRR abs/2405.18982 (2024) - [i15]Cu Cui, Paul Grosse-Bley, Guido Kanschat, Robert Strzodka:
An implementation of tensor product patch smoothers on GPU. CoRR abs/2405.19004 (2024) - [i14]Michal Wichrowski, Peter Munch, Martin Kronbichler, Guido Kanschat:
Smoothers with localized residual computations for geometric multigrid methods. CoRR abs/2407.02100 (2024) - 2023
- [j35]Peipei Lu
, Andreas Rupp
Two-level Schwarz Methods for Hybridizable Discontinuous Galerkin Methods. J. Sci. Comput. 95(1): 9 (2023) - [i13]Peipei Lu, Wei Wang, Guido Kanschat, Andreas Rupp
Homogeneous multigrid method for HDG applied to the Stokes equation. CoRR abs/2302.00121 (2023) - [i12]Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, Duygu Sap:
Discrete tensor product BGG sequences: splines and finite elements. CoRR abs/2302.02434 (2023) - [i11]Matei Hanu, Jürgen Hesser, Guido Kanschat, Javier Moviglia, Claudia Schillings
Ensemble Kalman Inversion for Image Guided Guide Wire Navigation in Vascular Systems. CoRR abs/2312.06460 (2023) - 2022
- [j34]Peipei Lu, Andreas Rupp
Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods. SIAM J. Numer. Anal. 60(4): 2293-2317 (2022) - [i10]Francesca Bonizzoni, Guido Kanschat:
A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity. CoRR abs/2207.00309 (2022) - 2021
- [j33]Daniel Arndt
A Differentiable Mapping of Mesh Cells Based on Finite Elements on Quadrilateral and Hexahedral Meshes. Comput. Methods Appl. Math. 21(1): 1-11 (2021) - [j32]Malte Braack, Dietmar Gallistl, Jun Hu, Guido Kanschat
Sino-German Computational and Applied Mathematics. Comput. Methods Appl. Math. 21(3): 497-499 (2021) - [j31]Julius Witte
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. Comput. Methods Appl. Math. 21(3): 709-728 (2021) - [j30]Thomas C. Clevenger
A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM. ACM Trans. Math. Softw. 47(1): 7:1-7:27 (2021) - [i9]Peipei Lu, Andreas Rupp, Guido Kanschat:
Homogeneous multigrid for embedded discontinuous Galerkin methods. CoRR abs/2101.12645 (2021) - [i8]Peipei Lu, Andreas Rupp, Guido Kanschat:
Analysis of injection operators in multigrid solvers for hybridized discontinuous Galerkin methods. CoRR abs/2104.00118 (2021) - [i7]Andreas Rupp, Markus Gahn, Guido Kanschat:
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations. CoRR abs/2108.06964 (2021) - 2020
- [j29]Arbaz Khan
A Robust A Posteriori Error Estimator for Divergence-Conforming Discontinuous Galerkin Methods for the Oseen Equation. SIAM J. Numer. Anal. 58(1): 492-518 (2020) - [p1]Daniel Arndt, Niklas Fehn
ExaDG: High-Order Discontinuous Galerkin for the Exa-Scale. Software for Exascale Computing 2020: 189-224 - [i6]Francesca Bonizzoni, Guido Kanschat:
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes. CoRR abs/2010.00524 (2020) - [i5]Peipei Lu, Andreas Rupp, Guido Kanschat:
HMG - Homogeneous multigrid for HDG. CoRR abs/2011.14018 (2020)
2010 – 2019
- 2019
- [i4]Thomas C. Clevenger, Timo Heister, Guido Kanschat, Martin Kronbichler:
A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM. CoRR abs/1904.03317 (2019) - [i3]Julius Witte, Daniel Arndt, Guido Kanschat
Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous Galerkin Methods. CoRR abs/1910.11239 (2019) - 2018
- [j28]Natasha Sharma, Guido Kanschat
A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. J. Num. Math. 26(4): 209-232 (2018) - [j27]Guido Kanschat
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model. J. Sci. Comput. 77(3): 1762-1779 (2018) - [i2]José Pablo Lucero Lorca
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. CoRR abs/1811.03839 (2018) - 2017
- [j26]Guido Kanschat
Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study. J. Comput. Appl. Math. 310: 174-185 (2017) - 2016
- [j25]Guido Kanschat
A Weakly Penalized Discontinuous Galerkin Method for Radiation in Dense, Scattering Media. Comput. Methods Appl. Math. 16(4): 563-577 (2016) - [j24]Wolfgang Bangerth, Denis Davydov
The deal.II Library, Version 8.4. J. Num. Math. 24(3): 135-141 (2016) - 2015
- [j23]Guido Kanschat
Multigrid methods for Hdiv-conforming discontinuous Galerkin methods for the Stokes equations. J. Num. Math. 23(1): 51-66 (2015) - 2014
- [j22]Vivette Girault, Guido Kanschat
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. J. Num. Math. 22(2): 109-142 (2014) - [j21]Guido Kanschat
Divergence-Conforming Discontinuous Galerkin Methods and C0 Interior Penalty Methods. SIAM J. Numer. Anal. 52(4): 1822-1842 (2014) - [j20]Guido Kanschat
A Robust Multigrid Preconditioner for SNDG Approximation of Monochromatic, Isotropic Radiation Transport Problems. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [i1]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 abs/1312.2266 (2013) - 2012
- [j19]Jean C. Ragusa, Jean-Luc Guermond, Guido Kanschat
A robust SN-DG-approximation for radiation transport in optically thick and diffusive regimes. J. Comput. Phys. 231(4): 1947-1962 (2012) - 2011
- [j18]Bärbel Janssen, Guido Kanschat
Adaptive Multilevel Methods with Local Smoothing for H1- and Hcurl-Conforming High Order Finite Element Methods. SIAM J. Sci. Comput. 33(4): 2095-2114 (2011) - 2010
- [j17]Guido Kanschat
A strongly conservative finite element method for the coupling of Stokes and Darcy flow. J. Comput. Phys. 229(17): 5933-5943 (2010) - [j16]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): 53-78 (2010)
2000 – 2009
- 2009
- [j15]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): 195-217 (2009) - [j14]Bernardo Cockburn
An Equal-Order DG Method for the Incompressible Navier-Stokes Equations. J. Sci. Comput. 40(1-3): 188-210 (2009) - 2008
- [j13]R. H. W. Hoppe, Guido Kanschat
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method. SIAM J. Numer. Anal. 47(1): 534-550 (2008) - 2007
- [j12]Bernardo Cockburn
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations. J. Sci. Comput. 31(1-2): 61-73 (2007) - [j11]Wolfgang Bangerth
deal.II - A general-purpose object-oriented finite element library. ACM Trans. Math. Softw. 33(4): 24 (2007) - 2005
- [j10]Guido Kanschat
Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems. J. Sci. Comput. 22(1): 371-384 (2005) - [j9]Bernardo Cockburn
A locally conservative LDG method for the incompressible Navier-Stokes equations. Math. Comput. 74(251): 1067-1095 (2005) - 2004
- [j8]Bernardo Cockburn
The local discontinuous Galerkin method for the Oseen equations. Math. Comput. 73(246): 569-593 (2004) - 2003
- [j7]Jay Gopalakrishnan
A multilevel discontinuous Galerkin method. Numerische Mathematik 95(3): 527-550 (2003) - [j6]Jay Gopalakrishnan, Guido Kanschat
A multilevel discontinuous Galerkin method. Numerische Mathematik 95(3): 551 (2003) - [j5]Guido Kanschat
Preconditioning Methods for Local Discontinuous Galerkin Discretizations. SIAM J. Sci. Comput. 25(3): 815-831 (2003) - 2002
- [j4]Guido Kanschat
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. J. Num. Math. 10(4): 249-274 (2002) - [j3]Bernardo Cockburn
Local Discontinuous Galerkin Methods for the Stokes System. SIAM J. Numer. Anal. 40(1): 319-343 (2002) - 2001
- [j2]Bernardo Cockburn
Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids. SIAM J. Numer. Anal. 39(1): 264-285 (2001)
1990 – 1999
- 1997
- [j1]Christian Führer, Guido Kanschat
A Posteriori Error Control in Radiative Transfer. Computing 58(4): 317-334 (1997)
Coauthor Index
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