![]() ![]() The spectral properties of the interface operator and the convergence of the interface iteration are analyzed. Each interface iteration involves solving in parallel space-time subdomain problems. A space-time non-overlapping domain decomposition method is developed that reduces the global problem to a space-time coarse-scale mortar interface problem. Uniqueness, existence, and stability, as well as a priori error estimates for the spatial and temporal errors are established. Continuity of flux (mass conservation) across space-time interfaces is imposed via a coarse-scale space-time mortar variable that approximates the primary variable. The method is based on a space-time variational formulation that couples mixed finite elements in space with discontinuous Galerkin in time. The domain is decomposed into a union of subdomains discretized with non-matching spatial grids and asynchronous time steps. We develop a space-time mortar mixed finite element method for parabolic problems. ![]()
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