Volume 8, Issue 6
Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

Zhiyong Liu and Yinnian He

10.4208/aamm.2014.m669

Adv. Appl. Math. Mech., 8 (2016), pp. 1072-1083.

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  • Abstract

This paper provides a proof of robustness of the restricted additive Schwarz preconditioner with harmonic overlap (RASHO) for the second order elliptic problems with jump coefficients. By analyzing the eigenvalue distribution of the RASHO preconditioner, we prove that the convergence rate of preconditioned conjugate gradient method with RASHO preconditioner is uniform with respect to the large jump and meshsize.

  • History

Published online: 2018-05

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