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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22575

Title: An efficient linear solver for the hybridized discontinuous Galerkin method
Authors: Jaust, Alexander
Schütz, Jochen
Aizinger, Vadym
Issue Date: 2016
Publisher: WILEY-VCH Verlag
Citation: Bach, V.; Fassbender, H. (Ed.). Proceedings in Applied Mathematics and Mechanics, WILEY-VCH Verlag,p. 845-846
Series/Report: Proceedings in Applied Mathematics and Mechanics
Series/Report no.: 16
Abstract: Discretizing partial differential equations by an implicit solving technique ultimately leads to a linear system of equations that has to be solved. The number of globally coupled unknowns is especially large for discontinuous Galerkin (DG) methods. It can be reduced by using hybridized discontinuous Galerkin (HDG) methods, but still efficient linear solvers are needed. It has been shown that, if hierarchical basis functions are used, a hierarchical scale separation (HSS) ansatz can be an efficient solver. In this work, we couple the HDG method with an HSS solver to solve a scalar nonlinear problem. It is validated by comparing the results with results obtained by GMRES with ILU(3) preconditioning as linear solver.
URI: http://hdl.handle.net/1942/22575
DOI: 10.1002/pamm.201610411
ISSN: 1617-7061
Category: C1
Type: Proceedings Paper
Appears in Collections: Research publications

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