Quantitative error estimates for coefficient idealization in linear elliptic problems

✍ Scribed by Weimin Han

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 555 KB
• Volume: 17
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670171206

✦ Synopsis

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.