Finite volume schemes for multilayer diffusion

作者：

Highlights：

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• Finite volume method for layered diffusion problems is developed.

• Proposed method is applicable to general boundary/interface conditions.

• Theoretical analysis (stability and convergence) of the schemes is presented.

• Finding: interface conditions can lead to more restrictive stability conditions.

• Presented numerical results confirm the theoretical analysis.

摘要

•Finite volume method for layered diffusion problems is developed.•Proposed method is applicable to general boundary/interface conditions.•Theoretical analysis (stability and convergence) of the schemes is presented.•Finding: interface conditions can lead to more restrictive stability conditions.•Presented numerical results confirm the theoretical analysis.

论文关键词：Multilayer diffusion,Finite volume scheme,Stability and convergence,Gershgorin circle theorem,Interface conditions

论文评审过程：Received 20 November 2017, Revised 18 April 2018, Available online 30 June 2018, Version of Record 6 July 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2018.06.041