An unfitted discontinuous Galerkin method for elliptic interface problems (Q1714539)

Summary: 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 \(\mathbf{p}\) 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.