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- W2015462824 abstract "A theory of a posteriori estimates for the finite element method has been developed. On the basis of this theory, for a two-point boundary-value problem the existence of a unique optimal mesh distribution is proved and its properties are analyzed. This mesh is characterized in terms of certain, easily computable local error indicators which in turn allow for a simple adaptive construction of the mesh and also permit the computation of a very effective a posteriori error bound. While the error estimates are asymptotic in nature, numerical experiments show the results to be excellent already for 10% accuracy. The approaches are not restricted to the model problem considered here only for clarity; in fact, they allow for rather straightforward extensions to more general problems in one dimension as well as to higher-order elements. 11 tables." @default.
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- W2015462824 date "1979-04-01" @default.
- W2015462824 modified "2023-10-16" @default.
- W2015462824 title "Analysis of Optimal Finite-Element Meshes in R 1" @default.
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- W2015462824 doi "https://doi.org/10.2307/2006290" @default.
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