Domain decomposition preconditioning for non-linear elasticity problems
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We consider domain decomposition techniques for a non-linear elasticity problem. Our main focus is on non-linear preconditioning, realized in the framework of additive Schwarz preconditioned inexact Newton (ASPIN) methods. The standard 1-level ASPIN method is extended to a 2-level method by adding a non-linear coarse solver. Numerical experiments show that the coarse component is necessary for scalability in terms of linear iterations inside the Newton loop. Moreover, for problems that are dominated by nonlinearities that are not localized in space the non-linear coarse iterations are crucial for achieving computational efficiency.
CitationIn: Eugenio Oñate, Xavier Oliver and Antonio Huerta (Eds.). Proceedings of 11th World Congress of Computational Mechanics. 2014: 4802-4809
PublisherInternational Centre for Numerical Methods in Engineering
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