A posteriori error estimators for the first-order least-squares finite element method |
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Authors: | JaEun Ku |
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Institution: | a Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences Building, Stillwater, OK 74078-1058, United Statesb Department of Computational Science and Engineering, Yonsei University, Seoul 120-749, Republic of Korea |
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Abstract: | In this paper, we propose a posteriori error estimators for certain quantities of interest for a first-order least-squares finite element method. In particular, we propose an a posteriori error estimator for when one is interested in where . Our a posteriori error estimators are obtained by assigning proper weight (in terms of local mesh size hT) to the terms of the least-squares functional. An a posteriori error analysis yields reliable and efficient estimates based on residuals. Numerical examples are presented to show the effectivity of our error estimators. |
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Keywords: | primary 65N30 secondary 65N15 |
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