An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems | Zendy

Qiuliang Wang | Zendy; Jinru Chen | Zendy

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An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

Author(s) -

Qiuliang Wang,

Jinru Chen

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/241890

Subject(s) - discontinuous galerkin method , norm (philosophy) , galerkin method , mathematics , interface (matter) , convergence (economics) , mathematical analysis , finite element method , physics , mechanics , bubble , maximum bubble pressure method , political science , law , economics , thermodynamics , economic growth

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 optimalconvergence 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

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