Journal article
On a family of discontinuous Galerkin fully-discrete schemes for the wave equation
Computational & applied mathematics, Vol.40(2), 56
02/23/2021
DOI: 10.1007/s40314-021-01423-8
Abstract
In this paper, we study a family of discontinuous Galerkin (DG) fully discrete schemes for solving the second-order wave equation. The spatial variable discretization is based on an application of the DG method. The temporal variable discretization depends on a parameter theta is an element of [0,1]. Under suitable regularity hypotheses on the solution, optimal order error bounds are shown for the numerical schemes with theta is an element of[12,1], unconditionally with respect to the spatial mesh-size and the time-step, and for the numerical schemes with theta is an element of [0,12) where a Courant-Friedrichs-Lewy stability condition is satisfied relating the mesh-size and the time-step. The optimal order error estimates are derived for H1(Omega) and L2(Omega) norms. Simulation results are reported to provide numerical evidence of the optimal convergence orders predicted by the theory.
Details
- Title: Subtitle
- On a family of discontinuous Galerkin fully-discrete schemes for the wave equation
- Creators
- Limin He - Inner Mongolia University of Science and TechnologyWeimin Han - Xi'an Jiaotong UniversityFei Wang - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Computational & applied mathematics, Vol.40(2), 56
- Publisher
- SPRINGER HEIDELBERG
- DOI
- 10.1007/s40314-021-01423-8
- ISSN
- 2238-3603
- eISSN
- 1807-0302
- Number of pages
- 24
- Grant note
- 11771350 / National Natural Science Foundation of China; National Natural Science Foundation of China (NSFC)
- Language
- English
- Date published
- 02/23/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240769002771
Metrics
2 Record Views