One- and Two-Level Domain Decomposition Methods for Nonlinear Problems

被引：0

作者：

Badea, L. ^{[1
]}

机构：

[1] Romanian Acad, Inst Math, Bucharest, Romania

来源：

PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED AND GRID COMPUTING FOR ENGINEERING | 2009年 / 90期

关键词：

domain decomposition methods; nonlinear variational inequalities; fixed-point problems; quasi-variational inequalities; multigrid and multilevel methods; contact problems with friction; nonlinear obstacle problems; SCHWARZ ALTERNATING METHODS; MONOTONE MULTIGRID METHODS; VARIATIONAL-INEQUALITIES; CONVERGENCE;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we synthesize the results in [1] - [6] concerning the convergence rate of the one- and two-level methods for some nonlinear problems: nonlinear variational inequalities, inequalities with contraction operators, variational inequalities of the second kind and quasi-variational inequalities. Also, we verify that the convergence rates obtained by numerical tests are really in concordance with the theoretical ones. We comparatively illustrate the convergence rates of the one- and two-level methods by numerical experiments for the solution of the two-obstacle problem of a nonlinear elastic membrane.

引用

页码：71 / 88

页数：18

共 50 条

[31] Deconvolution methods for non-parametric inference in two-level mixed models [J].

Hall, Peter ;

Maiti, Tapabrata .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2009, 71 :703-718

[32] DOMAIN DECOMPOSITION METHODS FOR SOLVING STOKES-DARCY PROBLEMS WITH BOUNDARY INTEGRALS [J].

Boubendir, Yassine ;

Tlupova, Svetlana .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (01) :B82-B106

[33] Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems [J].

Arraras, A. ;

Portero, L. ;

Yotov, I. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 257 :1321-1351

[34] Nonconformal Domain Decomposition Methods for Solving Large Multiscale Electromagnetic Scattering Problems [J].

Peng, Zhen ;

Lim, Kheng-Hwee ;

Lee, Jin-Fa .

PROCEEDINGS OF THE IEEE, 2013, 101 (02) :298-319

[35] Bio-Motivated Two-Level Event-Triggered Controller for Nonlinear Systems [J].

Gao, Hui ;

Yin, Le .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (05) :1825-1832

[36] Two-level additive Schwarz algorithms for nonlinear complementarity problem with an M-function [J].

Xu, Hongru ;

Zeng, Jinping ;

Sun, Zhe .

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 17 (04) :599-613

[37] Power System Dynamic Simulations Using a Parallel Two-Level Schur-Complement Decomposition [J].

Aristidou, Petros ;

Lebeau, Simon ;

Van Cutsem, Thierry .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2016, 31 (05) :3984-3995

[38] New Iterative Methods for Solving Nonlinear Problems with One and Several Unknowns [J].

Behl, Ramandeep ;

Cordero, Alicia ;

Torregrosa, Juan R. ;

Alshomrani, Ali Saleh .

MATHEMATICS, 2018, 6 (12)

[39] A domain decomposition method for two-body contact problems with Tresca friction [J].

Jaroslav Haslinger ;

Radek Kučera ;

Julien Riton ;

Taoufik Sassi .

Advances in Computational Mathematics, 2014, 40 :65-90

[40] On level regularization with normal solutions in decomposition methods for multistage stochastic programming problems [J].

van Ackooij, Wim ;

de Oliveira, Welington ;

Song, Yongjia .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 74 (01) :1-42

← 1 2 3 4 5 →