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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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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


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:
  • MathSciNet review: 1297478