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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.
Key Words: mixed discontinuous Galerkin method,; LDG method,; local error estimate,; elliptic problem.
Published Online: 2004-04-01
Published in Print: 2004-04-01
Copyright 2004, Walter de Gruyter
