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.
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Research performed while at the University of Maryland under a Fulbright fellowship
Research supported in part by the Department of Energy under the contract E(40-1)3443
Research supported in part by the National Institutes of Health under the grant 5R01-AM-20373
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Babuška, I., Kellogg, R.B. & Pitkäranta, J. Direct and inverse error estimates for finite elements with mesh refinements. Numer. Math. 33, 447–471 (1979). https://doi.org/10.1007/BF01399326
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DOI: https://doi.org/10.1007/BF01399326