Overlapping Schwarz methods for unstructured spectral elements
The authors introduce and study a parallel and scalable domain decomposition method for unstructured and hybrid spectral element discretizations of elliptic problems. The spectral elements are affine images of the reference triangle or square in two dimensions and of the reference tetrahedron, pyramid, prism, or cube in three dimensions. The method is based on overlapping Schwarz techniques to the Schur complement of the discrete system and is implemented as a preconditioner for a Krylov subspace method. The results of several numerical experiments performed with the code NekTar are presented.
scientific article; zbMATH DE number 1452598