Adaptive domain extension and adaptive grids for unbounded spherical elliptic PDEs
Journal Article
·
· SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (USA)
- Lawrence Livermore National Lab., Livermore, CA (US)
- Univ. of Texas, Austin, TX (US)
The problem of approximating the solution to a class of (PDEs) posed on unbounded domains using finite domain approximations is considered. A finite-element method is formulated for the approximation on the finite subregions, and a domain extension strategy that balances the finite-element error and domain-truncation error is developed. It is shown that this scheme yields asymptotically optimal finite-element approximation properties to the solution on the unbounded domain as the grid is extended. Error estimates for adaptive refinement and domain truncation are developed.
- OSTI ID:
- 6411058
- Journal Information:
- SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (USA), Vol. 11:1; ISSN 0196-5204
- Country of Publication:
- United States
- Language:
- English
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