Schwarz type preconditioners for the neutron diffusion equation

作者:

Highlights:

• To solve the neutron diffusion equation many linear systems has to be solved using preconditioned Krylov methods.

• Traditional preconditioners based on incomplete factorizations are expensive in terms of memory.

• Domain decomposition preconditioners are studied including substructuring preconditioners and additive Schwarz preconditioners.

• 2D and 3D benchmarks have been studied obtaining better performance results than usual preconditioners.

摘要

•To solve the neutron diffusion equation many linear systems has to be solved using preconditioned Krylov methods.•Traditional preconditioners based on incomplete factorizations are expensive in terms of memory.•Domain decomposition preconditioners are studied including substructuring preconditioners and additive Schwarz preconditioners.•2D and 3D benchmarks have been studied obtaining better performance results than usual preconditioners.

论文关键词:Neutron diffusion,Finite element method,Substructuring,Schwarz preconditioner

论文评审过程:Received 30 November 2015, Available online 9 March 2016, Version of Record 29 August 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2016.02.056