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Meshless Galerkin methods using radial basis functions

1999; American Mathematical Society; Volume: 68; Issue: 228 Linguagem: Inglês

10.1090/s0025-5718-99-01102-3

1088-6842

Holger Wendland,

Electromagnetic Simulation and Numerical Methods

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.