A filter in constructing the preconditioner for solving linear equation systems of radiation diffusion problems

作者：

Highlights：

• This paper proposes a filter in constructing the preconditioner for solving linear equation systems of the radiation diffusion problems.

• This paper designs and investigates four kinds of strategies for filtering out the entries.

• This paper conducts some numerical experiments to verify the effectiveness of the proposed method.

• This paper studies the inuence of the parameter in the proposed method and provides a practical approach to choose a proper one for the radiation diffusion problem.

摘要

•This paper proposes a filter in constructing the preconditioner for solving linear equation systems of the radiation diffusion problems.•This paper designs and investigates four kinds of strategies for filtering out the entries.•This paper conducts some numerical experiments to verify the effectiveness of the proposed method.•This paper studies the inuence of the parameter in the proposed method and provides a practical approach to choose a proper one for the radiation diffusion problem.

论文关键词：Linear equation system,Preconditioned iterative method,Filter,Preconditioner,Radiation diffusion problems

论文评审过程：Received 17 June 2020, Revised 28 November 2020, Accepted 17 January 2021, Available online 9 February 2021, Version of Record 9 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126010