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Aitchison, J. M.; Poole, M. W.

A numerical algorithm for the solution of Signorini problems. (English) Zbl 0937.74071

J. Comput. Appl. Math. 94, No. 1, 55-67 (1998).
Summary: We propose an iterative algorithm for the solution of a certain class of Signorini problems. Such problems arise in the modelling of a variety of physical phenomena and usually involve the determination of an unknown free boundary. Here we describe a way of locating the free boundary directly, and provide a proof that the algorithm converges when used with analytic methods. The advantage of this algorithm is that it can be used in conjunction with any numerical method with minimal development of extra code. We demonstrate its application with the boundary element method to some physical problems in both two and three dimensions.

Cited in 17 Documents

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74M15 Contact in solid mechanics

Keywords:

free boundary problem; complementarity relations; convergence; Signorini problem; iterative algorithm; analytic methods
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\textit{J. M. Aitchison} and \textit{M. W. Poole}, J. Comput. Appl. Math. 94, No. 1, 55--67 (1998; Zbl 0937.74071)
Full Text: DOI

References:

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