Direct and inverse error estimates for finite elements with mesh refinements |
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Authors: | I. Babuška R. B. Kellogg J. Pitkäranta |
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Affiliation: | (1) Institute for Physical Science and Technology, University of Maryland, College Park, MD, U.S.A.;(2) Department of Mathematics, Helsinki University of Technology, Helsinki, Finland |
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Abstract: | The finite element method is used to solve a second order elliptic boundary value problem on a polygonal domain. Mesh refinements and weighted Besov spaces are used to obtain optimal error estimates and inverse theorems.Research performed while at the University of Maryland under a Fulbright fellowshipResearch supported in part by the Department of Energy under the contract E(40-1)3443Research supported in part by the National Institutes of Health under the grant 5R01-AM-20373 |
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Keywords: | AMS(MOS): 65N15 CR: 5.17 |
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