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The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries. (English) Zbl 1067.92032
Summary: Using the Arbitrary Lagrangian Eulerian coordinates and the least squares method, a two-dimensional steady fluid structure interaction problem is transformed into an optimal control problem. Sensitivity analysis is presented. The Broyden, Fletcher, Goldfarb, Shano (BFGS) algorithm gives satisfactory numerical results even when we use a reduced number of discrete controls.

92C35 Physiological flow
76M25 Other numerical methods (fluid mechanics) (MSC2010)
92C50 Medical applications (general)
Full Text: DOI
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