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Numerical methods and error analysis for one dimensional elliptic problems containing singularities

✍ Scribed by Hoonjoo Kim; Sung-Jin Lee; Hae-Soo Oh

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
189 KB
Volume
19
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

The method of auxiliary mapping (MAM), introduced by Babuška and Oh, was proven to be very successful in dealing with monotone singularities arising in two‐dimensional problems. In this article, in the framework of the p‐version of FEM, MAM is presented for one‐dimensional elliptic boundary value problems containing singularities. Moreover, in order to show the effectiveness of MAM, a detailed proof of an error estimate is also presented, which gives a sharp error bound of MAM. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 399–420, 2003.

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