Counterexamples concerning a weighted $L^ 2$ projection
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- by Jinchao Xu PDF
- Math. Comp. 57 (1991), 563-568 Request permission
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
- James H. Bramble and Jinchao Xu, Some estimates for a weighted $L^2$ projection, Math. Comp. 56 (1991), no. 194, 463–476. MR 1066830, DOI 10.1090/S0025-5718-1991-1066830-3
- Philippe G. Ciarlet, The finite element method for elliptic problems, Studies in Mathematics and its Applications, Vol. 4, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1978. MR 0520174 J. Xu, Theory of multilevel methods, Ph.D. thesis, Cornell Univ., 1989. AM report 48, Dept. of Math., Penn State Univ., July 1989.
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Math. Comp. 57 (1991), 563-568
- MSC: Primary 65N30; Secondary 65M60
- DOI: https://doi.org/10.1090/S0025-5718-1991-1094965-8
- MathSciNet review: 1094965