Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

Year:    2016

Author:    Zhiyong Liu, Yinnian He

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1072–1083

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 mesh size.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.m669

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 6 : pp. 1072–1083

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Jump coefficients conjugate gradient effective condition number domain decomposition restricted additive Schwarz.

Author Details

Zhiyong Liu

Yinnian He

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