Journal article
Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation
Applicable analysis, Vol.100(6), pp.1143-1157
04/26/2021
DOI: 10.1080/00036811.2019.1636968
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
-like norm is derived based on an analysis of the truncation error while that in the
norm based on an application of the Aubin-Nitsche technique. Numerical simulation results are reported in support of the theoretical error estimates.
Details
- Title: Subtitle
- Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation
- Creators
- Limin He - Inner Mongolia University of Science and TechnologyWeimin Han - Xi'an Jiaotong UniversityFei Wang - Xi'an Jiaotong UniversityWentao Cai - Hangzhou Dianzi University
- Resource Type
- Journal article
- Publication Details
- Applicable analysis, Vol.100(6), pp.1143-1157
- Publisher
- Taylor & Francis
- DOI
- 10.1080/00036811.2019.1636968
- ISSN
- 0003-6811
- eISSN
- 1563-504X
- Grant note
- DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 61663035, 11771350; DOI: 10.13039/501100004763, name: Inner Mongolia Natural Science Foundation of China, award: 2018MS06017
- Language
- English
- Date published
- 04/26/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240766902771
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