An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems

الملخص EN

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.