Additive Schwarz-type preconditioner for Hermite cubic splines. (Q1767221)
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scientific article; zbMATH DE number 2140814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Additive Schwarz-type preconditioner for Hermite cubic splines. |
scientific article; zbMATH DE number 2140814 |
Statements
Additive Schwarz-type preconditioner for Hermite cubic splines. (English)
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7 March 2005
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The additive Schwarz preconditioner for finite element discretizations of a second order elliptic two-point boundary value problem by Hermite cubic splines is studied. By a straightforward approach, it is proved that the condition number of the preconditioned system is uniformly bounded with respect to the mesh size. A numerical example supports the analytical result.
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additive Schwarz preconditioner
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Hermite cubic splines
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norm equivalence
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finite element
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second order elliptic two-point boundary value problem
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condition number
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numerical example
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