Adaptive domain extension and adaptive grids for unbounded spherical elliptic PDEs

Journal Article · Mon Jan 01 04:00:00 EST 1990 · SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (USA)

DOI:https://doi.org/10.1137/0911006· OSTI ID:6411058

Seager, M K ^[1]; Carey, G F ^[2]

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1. Lawrence Livermore National Lab., Livermore, CA (US)
2. 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), Journal Name: SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (USA) Vol. 11:1; ISSN 0196-5204; ISSN SIJCD
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ASYMPTOTIC SOLUTIONS
COMPUTER CALCULATIONS
DATA ACQUISITION SYSTEMS
ELECTRODES
ERRORS
FINITE ELEMENT METHOD
GRIDS
NUMERICAL SOLUTION