Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
نویسندگان
چکیده
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 optimal-order estimate for the point-wise error and a corresponding a posteriori error bound. The proofs are based on weighted -norm error estimates for discrete Green functions as already known for the ‘continuous’ finite element method.
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ورودعنوان ژورنال:
- J. Num. Math.
دوره 10 شماره
صفحات -
تاریخ انتشار 2002