On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods |
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Authors: | Ilaria Perugia Dominik Schötzau |
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Affiliation: | (1) Department of Mathematics, University of Pavia, Via Ferrata 1, 27100 Pavia, Italy;(2) School of Mathematics, University of Minnesota, Minneapolis, Minnesota, 55455 |
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Abstract: | The finite element formulation resulting from coupling the local discontinuous Galerkin method with a standard conforming finite element method for elliptic problems is analyzed. The transmission conditions across the interface separating the subdomains where the different formulations are applied are taken into account by a suitable definition of the so-called numerical fluxes. An error analysis leading to optimal a priori error estimates is presented for arbitrary meshes with possible hanging nodes. Numerical experiments validating the theoretical results are reported. |
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Keywords: | finite element methods discontinuous Galerkin methods coupling |
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