A range of optimization cases two-dimensional Stefan problems, solved using a tracking-type cost-functional, is presented. level set method used to capture the interface between liquid and solid phases an immersed boundary (cut cell) coupled with implicit time-advancement scheme employed solve heat equation. conservative implicit-explicit then for solving transport The resulting numerical frame...

In this article, topology optimization of two-dimensional (2D) building frames subjected to seismic loading is performed using the polygonal finite element method. Artificial ground motion accelerograms compatible with the design response spectrum of ASCE 7-16 are generated for the response history dynamic analysis needed in the optimization. The mean compliance of structure is minimized as a t...

Infinite-dimensional optimization (InfiniteOpt) problems involve modeling components (variables, objectives, and constraints) that are functions defined over infinite-dimensional domains. Examples include continuous-time dynamic (time is an infinite domain a function of time), PDE (space time domains space-time), as well stochastic semi-infinite (random space such random space). InfiniteOpt als...

For the purpose of meeting the requirement for image chromatic information storage, data processing and transmission in turbulence precise detection, this paper presents a new data optimization method of turbulence image chromatic data based on energy optimization surface construction and multi-order Random Sample Consensus (RANSAC) estimation. Though extracting turbulence image’s chromatic dat...