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Abstract : |
Abstract. In this paper we investigate the application of radial basis functions to solve variational problems as they appear in the weak formulation of elliptic partial differential equations. Two algorithms based on a multilevel scheme are introduced. Their numerical advantages and disadvantages are discussed and demonstrated on an example. The classical Galerkin approach for the solution of elliptic partial differential equations leads to a variational problem, which can be solved by discretization. This is the way finite elements treat this kind of problems in a very successful, |
