Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
✍ Scribed by Chung, Eric T.; Engquist, Björn
- Book ID
- 118182613
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 649 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0036-1429
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📜 SIMILAR VOLUMES
## a b s t r a c t We present a new discontinuous Galerkin method for solving the second-order wave equation using the standard continuous finite element method in space and a discontinuous method in time directly applied to second-order ode systems. We prove several optimal a priori error estimate
We analyze the nonsymmetric discontinuous Galerkin methods (NIPG and IIPG) for linear elliptic and parabolic equations with a spatially varied coefficient in multiple spatial dimensions. We consider d-linear approximation spaces on a uniform rectangular mesh, but our results can be extended to smoot