Journal article
Computable error estimates for linearization and numerical solution of obstacle problems
Journal of computational and applied mathematics, Vol.55(1), pp.69-79
1994
DOI: 10.1016/0377-0427(94)90185-6
Abstract
We derive quantitative a posteriori estimates for the error caused by replacing an obstacle problem with a linear problem. The error bound depends on the solution of the linear problem, but is independent of the solution of the obstacle problem. We then give a discrete version of the a posteriori error estimates, which is used in solving a finite-element system of the obstacle problem. A detailed analysis for a one-dimensional example is given, showing the effectiveness of our error estimates.
Details
- Title: Subtitle
- Computable error estimates for linearization and numerical solution of obstacle problems
- Creators
- Weimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, United StatesUSA
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.55(1), pp.69-79
- DOI
- 10.1016/0377-0427(94)90185-6
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 1994
- Academic Unit
- Mathematics
- Record Identifier
- 9983985877602771
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