A discontinuous finite element-based domain decomposition method Original Research Article

In this work, we introduce a somewhat unconventional finite element-based nonoverlapping domain decomposition method (the convenient space decomposition method (CSD)) for parallel computers that can be applied to a wide class of boundary value problems and which can only be implemented efficiently, exclusively with primal variables, by means of the use of discontinuous elements. Interesting aspects and properties are pointed out along with proofs for the most relevant results. Numerical experiments for purely diffusion problems are also presented in order to evaluate the effectiveness of the proposed scheme and to confirm the validity of the related theoretical results.