Stochastic Simulation Algorithms for Iterative Solution of the Lamé Equation

In this paper, iterative stochastic simulation algorithms for the Lamé equation describing the displacements of an isotropic elastic body are constructed. Three different stochastic methods are proposed: the first one is based on a global algorithm of random walk on spheres to compute the solution a...

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Bibliographic Details
Published in:	Numerical analysis and applications Vol. 16; no. 4; pp. 299 - 316
Main Authors:	Aksyuk, I. A., Kireeva, A. E., Sabelfeld, K. K., Smirnov, D. D.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.12.2023 Springer Nature B.V
Subjects:	Algorithms Approximation Boundary conditions Boundary value problems Elastic bodies Iterative methods Iterative solution Lame functions Linear equations Mathematics Mathematics and Statistics Numerical Analysis Random variables Random walk global random walk algorithm randomized algorithm for solving linear equations grid-free stochastic algorithm random walk on spheres
ISSN:	1995-4239, 1995-4247
Online Access:	Get full text
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