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2019 | OriginalPaper | Chapter

A Modified Duality Method for Solving an Elasticity Problem with a Crack Extending to the Outer Boundary

Authors : Robert Namm, Georgiy Tsoy, Ellina Vikhtenko

Published in: Optimization and Applications

Publisher: Springer International Publishing

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Abstract

A modified dual method for solving an elasticity problem with a crack extending to the outer boundary is considered. The method is based on a modified Lagrange functional. The convergence of the method is investigated in detail under a natural assumption of \(H^1\)-regularity of the solution to the crack problem. Basic duality relation for the primal and dual problems is proposed.

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previous chapter The Nearest Point Theorem for Weakly Convex Sets in Asymmetric Seminormed Spaces

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Title: A Modified Duality Method for Solving an Elasticity Problem with a Crack Extending to the Outer Boundary
Authors: Robert Namm
Georgiy Tsoy
Ellina Vikhtenko
Publisher: Springer International Publishing
Book: Optimization and Applications
Print ISBN: 978-3-030-10933-2

Electronic ISBN: 978-3-030-10934-9

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-10934-9_3

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