Guaranteed A Posteriori Error Estimates for a Staggered Discontinuous Galerkin Method
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1079-1101 |
| Journal / Publication | Journal of Scientific Computing |
| Volume | 75 |
| Issue number | 2 |
| Publication status | Published - 1 May 2018 |
| Externally published | Yes |
Link(s)
Abstract
In this paper, we present for the first time guaranteed upper bounds for the staggered discontinuous Galerkin method for diffusion problems. Two error estimators are proposed for arbitrary polynomial degrees and provide an upper bound on the energy error of the scalar unknown and L2-error of the flux, respectively. Both error estimators are based on the potential and flux reconstructions. The potential reconstruction is given by a simple averaging operator. The equilibrated flux reconstruction can be found by solving local Neumann problems on elements sharing an edge with a Raviart–Thomas mixed method. Reliability and efficiency of the two a posteriori error estimators are proved. Numerical results are presented to validate the theoretical results.
Research Area(s)
- A posteriori error estimators, Discontinuous Galerkin method, Guaranteed upper bound, Staggered grid
Bibliographic Note
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Citation Format(s)
Guaranteed A Posteriori Error Estimates for a Staggered Discontinuous Galerkin Method. / Chung, Eric T.; Park, Eun-Jae; Zhao, Lina.
In: Journal of Scientific Computing, Vol. 75, No. 2, 01.05.2018, p. 1079-1101.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
