Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems
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摘要
A preconditioned conjugate gradient method is applied to finite element discretizations of some nonsymmetric elliptic systems. Mesh independent superlinear convergence is proved, which is an extension of a similar earlier result from a single equation to systems. The proposed preconditioning method involves decoupled preconditioners, which yields small and parallelizable auxiliary problems.
论文关键词：65N12,65F10,Conjugate gradient method,Nonsymmetric elliptic systems,Superlinear convergence,Mesh independence
论文评审过程：Received 20 March 2006, Revised 11 October 2006, Available online 1 February 2007.
论文官网地址：https://doi.org/10.1016/j.cam.2006.12.004
