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- W291284509 abstract "ABSTRACT For solving inverse boundary value problems, whose boundary conditions are incompletely prescribed, over-prescribed boundary values have been used. In the present study boundary values on the incompletely prescribed boundaries of two-dimensional elastostatic body are estimated using measurements of displacement or strain inside the body. Application of the boundary element method reduces this inverse boundary value problem to the solution of matrix equation, as in the case of using over-prescribed boundary values. This matrix equation is severely ill-conditioned because of the ill-posedness of the problem. Regularization is therefore necessary to obtain a good estimation of the unknown boundary conditions. By reducing the rank to the effective rank we can obtain a stabilized solution. The singular value decomposition with rank reduction was applied for the regularization. For the selection of the effective rank the optimum condition number method and the L-curve method were applied. The optimum condition number method worked better than the L-curve method for selecting the effective rank, and therefore, for estimating the unknown boundary conditions." @default.
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- W291284509 date "2003-01-01" @default.
- W291284509 modified "2023-10-09" @default.
- W291284509 title "Estimation of Unknown Boundary Values from Inner Displacement and Strain Measurements and Regularization Using Rank Reduction Method" @default.
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- W291284509 doi "https://doi.org/10.1016/b978-008044268-6/50012-0" @default.
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