Year: 2019
Communications in Computational Physics, Vol. 25 (2019), Iss. 3 : pp. 752–780
Abstract
In this paper, we first discuss the existence and uniqueness of a class of nonlinear saddle-point problems, which are frequently encountered in physical models. Then, a generalized Arrow-Hurwicz method is introduced to solve such problems. For the method, the convergence rate analysis is established under some reasonable conditions. It is also applied to solve three typical discrete methods in fluid computation, with the computational efficiency demonstrated by a series of numerical experiments.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2017-0235
Communications in Computational Physics, Vol. 25 (2019), Iss. 3 : pp. 752–780
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Nonlinear saddle-point problems the generalized Arrow-Hurwicz method convergence rate analysis fluid computation.