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Erschienen in:
2020 | OriginalPaper | Buchkapitel
Localization of Nonlinearities and Recycling in Dual Domain Decomposition
verfasst von : Andreas S. Seibold, Michael C. Leistner, Daniel J. Rixen
Erschienen in: Domain Decomposition Methods in Science and Engineering XXV
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Newton-Krylov domain decomposition methods are well suited for solving nonlinear structural mechanics problems in parallel, especially due to their scalability properties. A Newton-Raphson method in combination with a dual domain decomposition technique, such as a FETI method, takes advantage of the quadratic convergence behaviour of the Newton-Raphson algorithm and the scalabality and high parallelizability of FETI methods. In order to reduce expensive communication between computing cores and thus Newton-iterations, a localization step for nonlinearities was proposed for FETI2, FETI-DP andBDDCsolvers [12, 8].