Propagation and spurious reflection in finite-element approximations of hyperbolic equations
β Scribed by R. Vichnevetsky
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 604 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
Numerical analysis of difference schemes often reveals the presence of eigenmodes which do not feature in the continuum solution. An examination of the dispersion relation shows how the spurious and physical modes interact. The behaviour of certain wave-profiles was predicted using this analysis and
## a b s t r a c t The two-grid method is studied for solving a two-dimensional second-order nonlinear hyperbolic equation using finite volume element method. The method is based on two different finite element spaces defined on one coarse grid with grid size H and one fine grid with grid size h, r