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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Perugia, I., Schötzau, D. On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods. Journal of Scientific Computing 16, 411–433 (2001). https://doi.org/10.1023/A:1013294207868
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DOI: https://doi.org/10.1023/A:1013294207868