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http://hdl.handle.net/1942/22967
Title: | A hierarchical scale separation approach for the hybridized discontinuous Galerkin method | Authors: | SCHUETZ, Jochen Aizinger, Vadym |
Issue Date: | 2017 | Source: | 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 | Keywords: | hybridized discontinuous Galerkin method; hierarchical scale separation; convection-diffusion equation; p-multigrid method | Document URI: | http://hdl.handle.net/1942/22967 | ISSN: | 0377-0427 | e-ISSN: | 1879-1778 | DOI: | 10.1016/j.cam.2016.12.018 | ISI #: | 000394628800032 | Rights: | © 2016 Elsevier B.V. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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accep.pdf | Peer-reviewed author version | 2.7 MB | Adobe PDF | View/Open |
1-s2.0-S0377042716306288-main.pdf Restricted Access | Published version | 2.15 MB | Adobe PDF | View/Open Request a copy |
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