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Counterexamples concerning a weighted $ L\sp 2$ projection

Author: Jinchao Xu
Journal: Math. Comp. 57 (1991), 563-568
MSC: Primary 65N30; Secondary 65M60
MathSciNet review: 1094965
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Abstract: Counterexamples are given to show that some results concerning a weighted $ {L^2}$ projection presented earlier by Bramble and the author are sharp, i.e., that certain error and stability estimates are impossible in some cases.

References [Enhancements On Off] (What's this?)

  • [1] J. H. Bramble and J. Xu, Some estimates for a weighted $ {L^2}$ projection, Math. Comp. 56 (1991), 463-476. MR 1066830 (91k:65140)
  • [2] P. G. Ciarlet, The finite element method for elliptic problems, North-Holland, New York, 1978. MR 0520174 (58:25001)
  • [3] J. Xu, Theory of multilevel methods, Ph.D. thesis, Cornell Univ., 1989. AM report 48, Dept. of Math., Penn State Univ., July 1989.

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Keywords: Finite element space, weighted $ {L^2}$ projections
Article copyright: © Copyright 1991 American Mathematical Society

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