Eigenproblem of Flow in Collapsible Tubes

Yujue Hao

Friday 26th February, 2010 16:00-17:00 Mathematics Building, room 515


Flow in collapsible tubes has a number of application in physiological flows and medical devices and has been studied by quite a number of researchers. The finalization of ours is a stability problem, which is to solve an asymmetric generalized eigenvalue problem. Our old eigensolver is QZ Algorithm. As the increasing dimensions of matrices, QZ shows its weakness in several aspects. Now we are trying to replace it with Implicit Restarted Arnoldi Method, which is a projecting method. It has its own advantages in solving the large scale sparse eigenvalue problems. The algorithm will be introduced and some results will be shown.

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