Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
513503 | Engineering Analysis with Boundary Elements | 2007 | 16 Pages |
Abstract
The alternating iterative algorithm proposed by Kozlov et al. [An iterative method for solving the Cauchy problem for elliptic equations. USSR Comput Math Math Phys 1991;31:45–52] for obtaining approximate solutions to the Cauchy problem in two-dimensional anisotropic elasticity is analysed and numerically implemented using the boundary element method (BEM). The ill-posedness of this inverse boundary value problem is overcome by employing an efficient regularising stopping. The numerical results confirm that the iterative BEM produces a convergent and stable numerical solution with respect to increasing the number of boundary elements and decreasing the amount of noise added into the input data.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Lucia Comino, Liviu Marin, Rafael Gallego,