The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries |
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Affiliation: | Laboratoire de Mathématiques et Applications, Université de Haute-Alsace 4, rue des Frères Lumière, 68093 Mulhouse Cedex, France |
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Abstract: | Using the Arbitrary Lagrangian Eulerian coordinates and the least squares method, a two-dimensional steady fluid structure interaction problem is transformed in an optimal control problem. Sensitivity analysis is presented. The BFGS algorithm gives satisfactory numerical results even when we use a reduced number of discrete controls. |
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