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BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method. (English) Zbl 1066.80009

Summary: An iterative algorithm based on the Landweber method in combination with the Boundary Element Method (BEM) is developed for solving the Cauchy problem for Helmholtz-type equations. A stopping regularizing criterion based on the residual of the BEM discretisation system of equations is also proposed.

MSC:

80M15 Boundary element methods applied to problems in thermodynamics and heat transfer
80A23 Inverse problems in thermodynamics and heat transfer
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