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Approximation by Linear Combinations of Fundamental Solution of the Lamé Operator

✍ Scribed by Uwe Hamann

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
483 KB
Volume
164
Category
Article
ISSN
0025-584X

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✦ Synopsis

Let L be the LAME operator defined by Lu = n u + p grad div u ( p > 0, u = = (ul, u,, u ~) ~) .

We denote the fundamental solution of L by E = (Eij)i<j= 1,2,3. By Ei = (Eli, E,,, E3i)T(i = 1, 2, 3) we denote the column vectors of E. Let r be the Cm-smooth boundary of a bounded domain 52 c R3 with connected complement R3\a. Furthermore let (yk)F c R 3 \ n be a given sequence of points.

We consider finite linear combinations of vector functions of the form DaEi(xyk) with 1 Q k < co; i = 1, 2, 3, and 0 < lcll < co.

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