论文信息 - On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems

On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems

Convergence of Schwarz methods is discussed for certain discretizations of two-sided obstacle problems. Monotone and especially geometrical convergence are established if the stiffness matrix is a kind of M-matrix, and an h-independent convergence rate is proved for uniformly overlapping decomposition.

Jinping Zeng | Shuzi Zhou

[1] Jinchao Xu,et al. Iterative Methods by Space Decomposition and Subspace Correction , 1992, SIAM Rev..

[2] J. Gillis,et al. Matrix Iterative Analysis , 1961 .

[3] 吕涛,et al. PARALLEL ALGORITHMS FOR VARIATIONAL INEQUALITIES BASED ON DOMAIN DECOMPOSITION , 1991 .

[4] Lori Badea. On the Schwarz alternating method with more than two subdomains for nonlinear monotone problems , 1991 .