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Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation.
- Source :
-
Applicable Analysis . May2021, Vol. 100 Issue 6, p1143-1157. 15p. - Publication Year :
- 2021
-
Abstract
- In this paper, we revisit the numerical solution of the scalar second-order wave equation by discontinuous Galerkin methods. The numerical methods are different from the ones found in existing literature. Moreover, we provide a stability analysis and derive optimal order error estimates through a more direct approach. The error estimate in an H 1 (Ω) -like norm is derived based on an analysis of the truncation error while that in the L 2 (Ω) norm based on an application of the Aubin-Nitsche technique. Numerical simulation results are reported in support of the theoretical error estimates. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 100
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 149672743
- Full Text :
- https://doi.org/10.1080/00036811.2019.1636968