首页|Review of Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates
Review of Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates
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In this paper,we review computational approaches to optimization problems of inhomoge-neous rods and plates.We consider both the optimization of eigenvalues and the localiza-tion of eigenfunctions.These problems are motivated by physical problems including the determination of the extremum of the fundamental vibration frequency and the localization of the vibration displacement.We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems under different boundary conditions with different densities given.
Inhomogeneous rods and platesBi-LaplacianOptimization of eigenvaluesLocalization of eigenfunctionsRearrangement
Weitao Chen、Chiu-Yen Kao
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Department of Mathematics,University of California at Riverside,900 University Ave,Riverside,CA 92521,USA
Department of Mathematical Sciences,Claremont McKenna College,850 Columbia Ave,Claremont,CA 91711,USA
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