抄録
A boundary element application to inverse problems associated with galvanic field response due to anodic/cathodic interactions is discussed. The galvanic corrosion rate is usually estimated by solving Laplace's equation with nonlinear boundary conditions which are imposed based on experimentally determined electrochemical polarization curves. However, the electrochemical polarization curves of the materials considered are not always available. In this case, the inverse approach, in which the current density across the materials is estimated from the potential values in the electrolyte, is necessary. This inverse problem generally yields an ill-conditioned system of linear equations. A regularization method is introduced using the singular value decomposition of the coefficient matrix, and a criterion for determining an effective rank of matrix is presented. A numerical example of coating damage detection is presented to illustrate the usefulness of the method.
