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Numerical Treatment of Singularities in Elliptic Problems

✍ Scribed by STEINBERG, J.


Book ID
118186244
Publisher
Oxford University Press
Year
1980
Tongue
English
Weight
657 KB
Volume
26
Category
Article
ISSN
0272-4960

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The singularities near the crack tips of homogeneous materials are monotone of type r Ξ± and r Ξ± log Ξ΄ r (depending on the boundary conditions along nonsmooth domains). However, the singularities around the interfacial cracks of the heterogeneous bimaterials are oscillatory of type r Ξ± sin(Ξ΅ log r ).

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## Abstract The method of auxiliary mapping (MAM), introduced by BabuΕ‘ka 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