An iterative method based on coupled closed-form coefficients expansions for recovering the pollutant source and initial pollution profile

作者：

Highlights：

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• We develop a weak-form integral equation method for ADE.

• The adjoint Trefftz test functions are used.

• Successfully recovering time-dependent pollutant source.

• An iterative method to recover space-dependent pollutant source and initial pollution profile.

• The methods are effective and fast convergent.

摘要

•We develop a weak-form integral equation method for ADE.•The adjoint Trefftz test functions are used.•Successfully recovering time-dependent pollutant source.•An iterative method to recover space-dependent pollutant source and initial pollution profile.•The methods are effective and fast convergent.

论文关键词：Pollutant source recovery problem,Initial pollution profile problem,Adjoint Trefftz test functions,Eigenfunctions,Closed-form coefficients expansion,Iterative method

论文评审过程：Received 20 November 2016, Revised 14 February 2017, Available online 29 May 2017, Version of Record 12 June 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.05.027