Titlebook: New Trends in Shape Optimization; Aldo Pratelli,Günter Leugering Book 2015 Springer International Publishing Switzerland 2015 Constrained

安定

International Series of Numerical Mathematicshttp://image.papertrans.cn/n/image/666020.jpg

一回合

https://doi.org/10.1007/978-3-319-17563-8Constrained problems; Dirichlet Eigenvalues; Nonlinear PDEs; Optimal shapes; elliptic equations and syst

harbinger

拉开这车床

milligram

A Phase Field Approach for Shape and Topology Optimization in Stokes Flow,the flow. By combining a porous medium and a phase field approach we obtain a well-posed problem in a diffuse interface setting that can be reformulated into a problem without state equations. We can derive a sharp interface problem with zero permeability outside the fluid region as a .-limit of this porous medium—phase field problem.

施加

纺织品

Approximate Shape Gradients for Interface Problems,ulations rely on the solution of two IPs, and their equivalence breaks down when these IPs are solved approximatively. We establish which expression for the shape gradient offers better accuracy for approximations by means of finite elements. Great effort is devoted to provide numerical evidence of the theoretical considerations.

Crayon

Shape Optimization in Electromagnetic Applications,cattered by an arbitrary shaped rigid object. Given a class of cost functionals, including the scattered energy and the extinction cross section, we develop an adjoint-based shape optimization scheme which is then applied to two key applications.

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讥讽

978-3-319-79236-1Springer International Publishing Switzerland 2015