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Abstract
A local a priori and a posteriori analysis is developed for the Galerkin method with discontinuous finite elements for solving stationary diffusion problems. The main results are an optimalorder estimate for the point-wise error and a corresponding a posteriori error bound. The proofs are based on weighted L2-norm error estimates for discrete Green functions as already known for the ‘continuous’ finite element method.
Keywords:: discontinuous Galerkin; finite elements; interior penalty; point-wise error; a posteriori estimate
Received: 2002-08-22
Published Online: 2010-11-15
Published in Print: 2002-December
© VSP 2002