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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Interior maximum-norm estimates for finite element methods. II
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by A. H. Schatz and L. B. Wahlbin PDF
Math. Comp. 64 (1995), 907-928 Request permission

Abstract:

We consider bilinear forms $A( \bullet , \bullet )$ connected with second-order elliptic problems and assume that for ${u_h}$ in a finite element space ${S_h}$, we have $A(u - {u_h},\chi ) = F(\chi )$ for $\chi$ in ${S_h}$ with local compact support. We give local estimates for $u - {u_h}$ in ${L_\infty }$ and $W_\infty ^1$ of the type "local best approximation plus weak outside influences plus the local size of F".
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 907-928
  • MSC: Primary 65N30; Secondary 65N15
  • DOI: https://doi.org/10.1090/S0025-5718-1995-1297478-7
  • MathSciNet review: 1297478