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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22967

Title: A hierarchical scale separation approach for the hybridized discontinuous Galerkin method
Authors: Schütz, Jochen
Aizinger, Vadym
Issue Date: 2017
Citation: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 317, p. 500-509
Status: In Press
Abstract: In this work, the hierarchical scale separation (HSS) method developed for linear systems resulting from discontinuous Galerkin (DG) discretizations has been extended to hybridized discontinuous Galerkin (HDG) schemes. The HSS method is related to p-multigrid techniques for DG systems but is conceptually much simpler. Our extension of the HSS scheme to the HDG method tested using a convection–diffusion equation for a range of benchmark problems demonstrated excellent performance on a par with that of the HSS method for a non-hybridized DG approximation. In the limiting case of a pure convection equation, the measured convergence rate of the HSS scheme was significantly better than the rates demonstrated in the non-hybridized case.
Notes: Aizinger, V (reprint author), Univ Erlangen Nurnberg, Chair Appl Math 1, Cauerstr 11, D-91058 Erlangen, Germany. aizinger@math.fau.de
URI: http://hdl.handle.net/1942/22967
DOI: 10.1016/j.cam.2016.12.018
ISI #: 000394628800032
ISSN: 0377-0427
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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