Kansa-RBF algorithms for elliptic problems in regular polygonal domains
The authors propose matrix decomposition algorithms for the solution of linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These algorithms use the symmetry of the domains of the problems which lead to coefficient matrices possessing block circulant structures. The results are applied in particular to the Poisson equation, the inhomogeneous biharmonic equation, and the inhomogeneous Cauchy-Navier equations of elasticity. Some numerical examples demonstrating the applicability of the proposed algorithms are presented.
scientific article; zbMATH DE number 6945621
scientific article