Impulse Response Approximations of Discrete Shape Hessians with Application in CFD
نویسندگان
چکیده
Abstract. This paper discusses the symbol of the Hessian of a shape optimization problem in a viscid, incompressible flow. The symbol of the Hessian for the Stokes shape optimization problem is analytically approximated by tracking a Fourier mode through the operators involved. We propose a discrete method for finding the symbol and confirm the correctness by comparison with the analytical data. A preconditioner is constructed for both the Stokes and Navier–Stokes equation, which greatly accelerates the optimization.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 48 شماره
صفحات -
تاریخ انتشار 2009