An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

Qiuliang Wang and Jinru Chen

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solution u in the energy norm and its flux p in the L2 norm. These results are the same as those in the case of elliptic problems without interface. Finally, some numerical experiments are presented to verify our theoretical results.

Date: 2014
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https://doi.org/10.1155/2014/241890

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:241890

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