A domain embedding method using the optimal distributed control and a fast algorithm
This paper studies an embedding method based on an optimal distributed control and a fast algorithm for solving elliptic problem in two-dimensional domains. The resulting embedding method is described in detail for the Dirichlet problem associated with the Poisson equation. The problems involving other elliptic equations or different boundary conditions may be treated in a similar manner. Numerical results for the Dirichlet problem associated with the Poisson equation show the validity and high accuracy of the method.
scientific article; zbMATH DE number 2093347