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.
Citation
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
