Abstract
We present a new non-conforming spacetime mesh refinement method for the symmetric first order hyperbolic system. This method is based on the one hand on the use of a conservative higher order discontinuous Galerkin approximation for space discretization and a finite difference scheme in time, on the other hand on appropriate discrete transmission conditions between the grids. We use a discrete energy technique to drive the construction of the matching procedure between the grids and guarantee the stability of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 1886-1895 |
| Number of pages | 10 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 234 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 15 Aug 2010 |
Keywords
- Discontinuous Galerkin
- Energy conservation
- Explicit scheme
- Finite difference scheme
- First order hyperbolic problem
- Local time stepping
