Document Type

Article

Publication Date

6-30-2022

Abstract

We present iterative numerical methods for solving the inverse problem of recovering the nonnegative Robin coefficient from partial boundary measurement of the solution to the Laplace equation. Based on the boundary integral equation formulation of the problem, nonnegativity constraints in the form of a penalty term are incorporated conveniently into least-squares iteration schemes for solving the inverse problem. Numerical implementation and examples are presented to illustrate the effectiveness of this strategy in improving recovery results.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

10.4236/jamp.2022.106137

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