New approach for accelerating the nonlinear Schwarz iterations

Autor:	Nabila Nagid, Hassan Belhadj
Jazyk:	English<br />Portuguese
Rok vydání:	2019
Předmět:	Additive Schwarz method Domain decomposition method Partial differential equations Restricted additive Schwarz method Vector Epsilon algorithm Mathematics QA1-939
Zdroj:	Boletim da Sociedade Paranaense de Matemática, Vol 38, Iss 4 (2019)
Druh dokumentu:	article
ISSN:	0037-8712 2175-1188
DOI:	10.5269/bspm.v38i4.37018
Popis:	The vector Epsilon algorithm is an effective extrapolation method used for accelerating the convergence of vector sequences. In this paper, this method is used to accelerate the convergence of Schwarz iterative methods for stationary linear and nonlinear partial differential equations (PDEs). The vector Epsilon algorithm is applied to the vector sequences produced by additive Schwarz (AS) or restricted additive Schwarz (RAS) methods after discretization. Some convergence analysis is presented, and several test-cases of analytical problems are performed in order to illustrate the interest of such algorithm. The obtained results show that the proposed algorithm yields much faster convergence than the classical Schwarz iterations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fd5ea3758c52429cbf34203a51133ad8 Zobrazit plný text záznamu View record in DOAJ