Mathematics of Computation

Author(s): Holger Wendland.
Journal: Math. Comp. 68 (1999), 1521-1531.
MSC (1991): Primary 35A40, 35J50, 41A25, 41A30, 41A63, 65N15, 65N30
Posted: March 4, 1999
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Abstract: We combine the theory of radial basis functions with the field of Galerkin methods to solve partial differential equations. After a general description of the method we show convergence and derive error estimates for smooth problems in arbitrary dimensions.

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Holger Wendland
Affiliation: Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestraß{}e 16-18, D-37083 Göttingen, Germany
Email: wendland@math.uni-goettingen.de

DOI: 10.1090/S0025-5718-99-01102-3
PII: S 0025-5718(99)01102-3
Keywords: Approximation orders, positive definite functions, PDE
Received by editor(s): April 1, 1997
Posted: March 4, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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