Journal article
Discontinuous Galerkin methods for solving a hyperbolic inequality
Numerical methods for partial differential equations, Vol.35(3), pp.894-915
05/01/2019
DOI: 10.1002/num.22330
Abstract
In this paper, we study spatially semi-discrete and fully discrete schemes to numerically solve a hyperbolic variational inequality, with discontinuous Galerkin (DG) discretization in space and finite difference discretization in time. Under appropriate regularity assumptions on the solution, a unified error analysis is established for four DG schemes, which reaches the optimal convergence order for linear elements. A numerical example is presented, and the numerical results confirm the theoretical error estimates.
Details
- Title: Subtitle
- Discontinuous Galerkin methods for solving a hyperbolic inequality
- Creators
- Fei Wang - Xi'an Jiaotong UniversityWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Numerical methods for partial differential equations, Vol.35(3), pp.894-915
- DOI
- 10.1002/num.22330
- ISSN
- 0749-159X
- eISSN
- 1098-2426
- Publisher
- WILEY
- Number of pages
- 22
- Grant note
- 11771350 / National Natural Science Foundation of China DMS-1521684 / NSF
- Language
- English
- Date published
- 05/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240871802771
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