Journal article
Quantitative error estimates for coefficient idealization in linear elliptic problems
Mathematical Methods in the Applied Sciences, Vol.17(12), pp.971-987
09/25/1994
DOI: 10.1002/mma.1670171206
Abstract
We give a thorough quantitative error analysis for the effect of coefficient idealization on solutions of linear elliptic boundary value problems. The a posteriori error estimate is derived by a tactful application of the duality theory in convex analysis. The estimate involves an auxiliary function subject to certain constraint. We discuss in detail the selection of a good auxiliary function for various cases. Numerical examples show the effectiveness of our a posteriori error estimate.
Details
- Title: Subtitle
- Quantitative error estimates for coefficient idealization in linear elliptic problems
- Creators
- Weimin Han
- Resource Type
- Journal article
- Publication Details
- Mathematical Methods in the Applied Sciences, Vol.17(12), pp.971-987
- Publisher
- John Wiley & Sons, Ltd; Stuttgart
- DOI
- 10.1002/mma.1670171206
- ISSN
- 0170-4214
- eISSN
- 1099-1476
- Number of pages
- 17
- Language
- English
- Date published
- 09/25/1994
- Academic Unit
- Mathematics
- Record Identifier
- 9983985800702771
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