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A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs
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SYSNO ASEP 0436705 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs Author(s) Turner, J. (GB)
Kočvara, Michal (UTIA-B) RID, ORCID
Loghin, D. (GB)Number of authors 3 Source Title Domain Decomposition Methods in Science and Engineering XXI. - Cham : Springer, 2014 - ISBN 978-3-319-05788-0 Pages s. 869-877 Number of pages 9 s. Publication form Print - P Action Domain Decomposition Methods 2012 /21./ Event date 25.06.2012-29.06.2012 VEvent location Le Chesnay Cedex Country FR - France Event type WRD Language eng - English Country CH - Switzerland Keywords domain decompositiond ; nonlinear partial differential equations ; Newton–Krylov method Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Institutional support UTIA-B - RVO:67985556 UT WOS 000347877900084 EID SCOPUS 84910649502 DOI 10.1007/978-3-319-05789-7_84 Annotation Nonlinear problems are ubiquitous in a variety of areas, including fluid dynamics, biomechanics, viscoelasticity and finance, to name a few. A number of computational methods exist already for solving such problems, with the general approach being Newton-Krylov type methods coupled with an appropriate preconditioner. However, it is known that the strongest nonlinearity in a domain can directly impact the convergence of Newton-type algorithms. Therefore, local nonlinearities may have a direct impact on the global convergence of Newton’s method, as illustrated in both [3] and [5]. Consequently, Newton-Krylov approaches can be expected to struggle when faced with domains containing local nonlinearities. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2015
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