A splitting preconditioner for a block two-by-two linear system with applications to the bidomain equations

作者：Chen, Hao^*; Li, Xiaolin; Wang, Yan

来源：Journal of Computational and Applied Mathematics, 2017, 321: 487-498.

DOI：10.1016/j.cam.2017.03.017

• Block two-by-two matrix
• Iterative methods
• Preconditioning
• Matrix splitting
• Bidomain equations

We construct an alternating splitting iteration scheme for solving and preconditioning a block two-by-two linear system arising from numerical discretizations of the bidomain equations. The convergence theory of this class of splitting iteration methods is established and some useful properties of the preconditioned matrix are analyzed. The potential of this approach is illustrated by numerical experiments.

• 出版日期2017-9
• 单位重庆师范大学