A-Posteriori Estimation and Adaptive Control of the Pollution-Error in the h-Version of the Finite Element Method
MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
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We studied the pollution-error in the h-version of the finite element method and its effect on the quality of the local error indicators resp. the quality of the derivatives recovered by local postprocessing in the interior of the mesh. Here we show that it is possible to construct a-posteriori estimates of the pollution-error in a patch of elements by employing the local error indicators over the entire mesh. We also give an adaptive algorithm for the local control of the pollution-error in a patch of elements of interest.
- Numerical Mathematics