Maximum norm estimates in the finite element method on plane polygonal domains. II. Refinements
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- by A. H. Schatz and L. B. Wahlbin PDF
- Math. Comp. 33 (1979), 465-492 Request permission
Abstract:
The finite element method is considered when applied to a model Dirichlet problem on a plane polygonal domain. Local error estimates are given for the case when the finite element partitions are refined in a systematic fashion near corners.References
- John R. Rice, On the degree of convergence of nonlinear spline approximation, Approximations with Special Emphasis on Spline Functions (Proc. Sympos. Univ. of Wisconsin, Madison, Wis., 1969) Academic Press, New York, 1969, pp. 349–365. MR 0267324
- A. H. Schatz and L. B. Wahlbin, Maximum norm estimates in the finite element method on plane polygonal domains. I, Math. Comp. 32 (1978), no. 141, 73–109. MR 502065, DOI 10.1090/S0025-5718-1978-0502065-1
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 465-492
- MSC: Primary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1979-0502067-6
- MathSciNet review: 0502067