Optimal L/sup infinity/ estimates for the finite element method on irregular meshes
Journal Article
·
· Math. Comput.; (United States)
Uniform estimates for the error in the finite element method are derived for a model problem on a general triangular mesh in two dimensions. These are optimal if the degree of the piecewise polynomials is greater than one. Similar estimates of the error are also derived in L/sup p/. As an intermediate step, an L/sup 1/ estimate of the gradient of the error in the finite element approximation of the Green's function is proved that is optimal for all degrees.
- OSTI ID:
- 7213713
- Journal Information:
- Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 30:136; ISSN MCMPA
- Country of Publication:
- United States
- Language:
- English
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