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2014 An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems
Qiuliang Wang, Jinru Chen
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/241890

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 L 2 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.

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Qiuliang Wang. Jinru Chen. "An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/241890

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010578
MathSciNet: MR3173327
Digital Object Identifier: 10.1155/2014/241890

Rights: Copyright © 2014 Hindawi

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