- Abstract:
-
This paper proposes a new preconditioning scheme for a linear system with a saddle-point structure arising from a hybrid approximation scheme on the sphere, an approximation scheme that combines (local) spherical radial basis functions and (global) spherical polynomials. In principle the resulting linear system can be preconditioned by the block-diagonal preconditioner of Murphy, Golub and Wathen. Making use of a recently derived inf-sup condition and the Brezzi stability and convergence theo...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Publisher copy:
- 10.1007/s00211-011-0369-0
-
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- Publisher:
- Springer Verlag Publisher's website
- Journal:
- Numerische Mathematik Journal website
- Volume:
- 118
- Issue:
- 4
- Pages:
- 695-711
- Publication date:
- 2011-03-02
- DOI:
- EISSN:
-
0945-3245
- ISSN:
-
0029-599X
- URN:
-
uuid:8376bb26-6c01-4605-9d3c-7fa201b24fb4
- Source identifiers:
-
188559
- Local pid:
- pubs:188559
- Language:
- English
- Copyright holder:
- Springer Verlag
- Copyright date:
- 2011
- Notes:
- © Springer-Verlag 2011.
Journal article
Stability and preconditioning for a hybrid approximation on the sphere
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