Institute of Information Theory and Automation

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Bibliography

Conference Paper (international conference)

A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs

Turner J., Kočvara Michal, Loghin D.

: Domain Decomposition Methods in Science and Engineering XXI, p. 869-877

: Domain Decomposition Methods 2012 /21./, (Le Chesnay Cedex, FR, 25.06.2012-29.06.2012)

: IAA100750802, GA AV ČR

: domain decompositiond, nonlinear partial differential equations, Newton–Krylov method

: 10.1007/978-3-319-05789-7_84

: http://library.utia.cas.cz/separaty/2014/MTR/kocvara-0436705.pdf

(eng): 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.

: BA

2019-01-07 08:39