finite element discretizations

Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

FREE-DOWNLOAD [PDF] JM Melenk… – Math. Comp, 2010
Abstract. A rigorous convergence theory for Galerkin methods for a model Helmholtz problem
in Rd, d ? {1, 2, 3} is presented. General conditions on the approximation properties of the approximation
space are stated that ensure quasi-optimality of the method. As an application of the