In this paper local error estimates for mixed discontinuous Galerkin methods including the local discontinuous Galerkin method for solving second-order elliptic problems are established. Our result shows that the errors of both the vector and scalar solutions of the mixed DG methods in a local subdomain are bounded by the local approximation properties of the finite element spaces plus the errors measured in the negative Sobolev norms in a slightly larger subdomain.
Print ISSN: 1570-2820
Volume: 12, 04/2004
Pages: 1 - 21