A hierarchical scale separation approach for the hybridized discontinuous Galerkin method
| Autor: | Jochen Schtz, Vadym Aizinger |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Work (thermodynamics)
Applied Mathematics Mathematical analysis Linear system Limiting case (mathematics) 010103 numerical & computational mathematics hybridized discontinuous Galerkin method hierarchical scale separation convection-diffusion equation p-multigrid method 01 natural sciences 010101 applied mathematics Computational Mathematics Range (mathematics) Rate of convergence Discontinuous Galerkin method Benchmark (computing) 0101 mathematics Convection–diffusion equation Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 317:500-509 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2016.12.018 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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