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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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The stability in $L_ p$ and $W^ 1_ p$ of the $L_ 2$-projection onto finite element function spaces
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by M. Crouzeix and V. Thomée PDF
Math. Comp. 48 (1987), 521-532 Request permission

Abstract:

The stability of the ${L_2}$-projection onto some standard finite element spaces ${V_h}$, considered as a map in ${L_p}$ and $W_p^1$, $1 \leqslant p \leqslant \infty$, is shown under weaker regularity requirements than quasi-uniformity of the triangulations underlying the definitions of the ${V_h}$.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 48 (1987), 521-532
  • MSC: Primary 41A15; Secondary 41A35, 65N10, 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1987-0878688-2
  • MathSciNet review: 878688