Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions

B. Bin-Mohsin and D. Lesnic

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 8, 1445-1458

Abstract: In this paper, an inverse geometric problem for the modified Helmholtz equation arising in heat conduction in a fin, which consists of determining an unknown inner boundary (rigid inclusion or cavity) of an annular domain from a single pair of boundary Cauchy data is solved numerically using the method of fundamental solutions (MFS). A nonlinear minimisation of the objective function is regularised when noise is added into the input boundary data. The stability of numerical results is investigated for several test examples.

Keywords: Modified Helmholtz's equation; Inverse problem; Method of fundamental solutions; Regularisation (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:8:p:1445-1458

DOI: 10.1016/j.matcom.2012.02.002

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