BEM first-order regularisation method in linear elasticity for boundary identification Original Research Article

In this paper, we study the identification of an unknown portion of the boundary of a two-dimensional domain occupied by an isotropic linear elastic material from additional Cauchy data on the remaining known portion of the boundary. This inverse problem is approached using the boundary element method (BEM) in conjunction with the Tikhonov first-order regularisation procedure. The choice of the regularisation parameter is based on the L-curve criterion. The numerical results obtained show that the proposed method produces a convergent and stable solution.