Title

Interior Penalty Bilinear Ife Discontinuous Galerkin Methods for Elliptic Equations with Discontinuous Coefficient

Editor(s)

Guo, Lei

Abstract

This paper applies bilinear immersed finite elements (IFEs) in the interior penalty discontinuous Galerkin (DG) methods for solving a second order elliptic equation with discontinuous coefficient. A discontinuous bilinear IFE space is constructed and applied to both the symmetric and nonsymmetric interior penalty DG formulations. The new methods can solve an interface problem on a Cartesian mesh independent of the interface with local refinement at any locations needed even if the interface has a nontrivial geometry. Numerical examples are provided to show features of these methods.

Department(s)

Mathematics and Statistics

Keywords and Phrases

adaptive mesh; discontinuous Galerkin; immersed interface; interface problems; penalty

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Springer Verlag, All rights reserved.


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