G
Guido Kanschat
Researcher at Interdisciplinary Center for Scientific Computing
Publications - 94
Citations - 4914
Guido Kanschat is an academic researcher from Interdisciplinary Center for Scientific Computing. The author has contributed to research in topics: Discontinuous Galerkin method & Finite element method. The author has an hindex of 29, co-authored 85 publications receiving 4472 citations. Previous affiliations of Guido Kanschat include Texas A&M University & Heidelberg University.
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deal.II—A general-purpose object-oriented finite element library
TL;DR: The paper presents a detailed description of the abstractions chosen for defining geometric information of meshes and the handling of degrees of freedom associated with finite element spaces, as well as of linear algebra, input/output capabilities and of interfaces to other software, such as visualization tools.
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Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
TL;DR: A superconvergence result for the local discontinuous Galerkin (LDG) method for a model elliptic problem on Cartesian grids is presented and a series of numerical examples are presented which establish the sharpness of the theoretical results.
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A locally conservative LDG method for the incompressible Navier-Stokes equations
TL;DR: A new local discontinuous Galerkin method for the incompressible stationary Navier-Stokes equations is proposed and analyzed, which confirms the independence of the number of fixed point iterations with respect to the discretization parameters and works well for a wide range of Reynolds numbers.
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A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations
TL;DR: A class of discontinuous Galerkin methods for the incompressible Navier–Stokes equations yielding exactly divergence-free solutions is presented, which are locally conservative, energy-stable, and optimally convergent.
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Local Discontinuous Galerkin Methods for the Stokes System
TL;DR: A priori estimates for the L2-norm of the errors in the velocities and the pressure are derived for a class of shape regular meshes with hanging nodes for the Stokes system.