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- W154600781 abstract "In this paper we consider superconvergence and supercloseness in the least-squares mixed flnite element method for elliptic problems. The su- percloseness is with respect to the standard and mixed flnite element approx- imations of the same elliptic problem, and does not depend on the properties of the mesh. As an application, we will derive more precise a priori bounds for the least squares mixed method. The superconvergence may be used to deflne a posteriori error estimators in the usual way. As a by-product of the analysis, a strengthened Cauchy-Buniakowskii-Schwarz inequality is used to prove the coercivity of the least-squares mixed bilinear form in a straight-forward man- ner. Using the same inequality, it can moreover be shown that the least-squares mixed flnite element linear system of equations can basically be solved with one single iteration step of the Block Jacobi method." @default.
- W154600781 created "2016-06-24" @default.
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- W154600781 date "2006-01-01" @default.
- W154600781 modified "2023-09-26" @default.
- W154600781 title "SUPERCONVERGENCE OF LEAST-SQUARES MIXED FINITE ELEMENTS" @default.
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