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Numerical boundary identification for Helmholtz-type equations

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Abstract

We study the identification of an unknown portion of the boundary of a two-dimensional domain occupied by a material satisfying Helmholtz-type equations from additional Cauchy data on the remaining known portion of the boundary. This inverse geometric problem is approached using the boundary element method (BEM) in conjunction with the Tikhonov first-order regularization procedure, whilst the choice of the regularization parameter is based on the L-curve criterion. The numerical results obtained show that the proposed method produces a convergent and stable solution

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Authors and Affiliations

  1. School of Earth and Environment, Environment Centre, University of Leeds, Leeds, LS2 9JT, UK

    L. Marin

  2. School of Mechanical, Materials and Manufacturing Engineering, The University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    L. Marin

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Marin, L. Numerical boundary identification for Helmholtz-type equations. Comput Mech 39, 25–40 (2006). https://doi.org/10.1007/s00466-005-0006-9

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  • DOI: https://doi.org/10.1007/s00466-005-0006-9

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