Stability and preconditioning for a hybrid approximation on the sphere (Q635808)
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| Language | Label | Description | Also known as |
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| English | Stability and preconditioning for a hybrid approximation on the sphere |
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Stability and preconditioning for a hybrid approximation on the sphere (English)
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23 August 2011
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The authors propose a new preconditioning scheme for a linear system with a saddle-point structure arising from a hybrid approximation scheme on the sphere. The approximation scheme combines (local) spherical radial basis functions and (global) spherical polynomials. The authors show that the proposed preconditioner is spectrally equivalent to a certain non-constant diagonal matrix. Numerical experiments are also discussed to prove the quality of the new preconditioner.
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stability
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preconditioning
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hybrid approximation
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saddle-point
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radial basis functions
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spherical polynomials
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numerical experiments
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