Titlebook: Shape Optimization, Homogenization and Optimal Control; DFG-AIMS workshop he Volker Schulz,Diaraf Seck Book 2018 Springer International Pub

洞穴

Localized Model Reduction in PDE Constrained Optimization,here the underlying PDE is given as a locally periodic elliptic multiscale problem. The second approach is more universal and focuses on general underlying multiscale or large scale problems. Both methods make use of reduced basis techniques and rely on efficient a posteriori error estimation for th

grovel

Numerical Simulation for a Dimensionless Coupled System of Shallow Water Equation with Long Term Dyf sand dunes (LTDD) equation with a small parameter ., presented in our previous paper (Baldé and Seck, Discrete Contin Dyn Syst Ser S 9(5):1521–1551, 2016) to model the erosion phenomenon. The small parameter . was for the first time introduced in the paper Faye et al. (J Nonlinear Anal Appl 2016(2

MILL

Humble

Branching Structures in Elastic Shape Optimization,ns frequently refine towards a Dirichlet boundary to ensure an effective load transfer. The paper discusses the optimization of such supporting structures in a specific class of domain patterns in 2D, which composes of periodic and branching period transitions on subdomain facets. These investigatio

入会

多产子

Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network,r to further reduce the complexity, we consider an instantaneous control strategy. This involves a p-Laplace-type problem on the graph with .. We prove well-posedness, existence of optimal controls and derive a first order optimality condition.

Facet-Joints

禁止,切断

吞下

Homogenization in Magnetic-Shape-Memory Polymer Composites,ffective macroscopic model under the assumption that the microstructure is periodic. We then study numerically the resulting cell problem, and discuss the effect of the microstructure on the macroscopic material behavior. Our results may be used to optimize the shape of the particles and the microstructure.

pellagra