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Direct and inverse error estimates for finite elements with mesh refinements
Authors:I. Babuška  R. B. Kellogg  J. Pitkäranta
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
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
Keywords:AMS(MOS): 65N15  CR: 5.17
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