On the quasi-optimality in $L_{\infty }$ of the $\dot H^{1}$-projection into finite element spaces
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- by A. H. Schatz and L. B. Wahlbin PDF
- Math. Comp. 38 (1982), 1-22 Request permission
Abstract:
The ${\dot {H}^1}$-projection into finite element spaces based on quasi-uniform partitions of a bounded smooth domain in ${R^N}$, $N \geqslant 2$ arbitrary, is shown to be stable in the maximum norm (or, in the case of piecewise linear or bilinear functions, almost stable). It is not assumed that the mesh-domains coincide with the basic domain.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 38 (1982), 1-22
- MSC: Primary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1982-0637283-6
- MathSciNet review: 637283