Polygonal elements

This paper presents an extension of the Proportional Topology Optimization (PTO) with virtual elements for multi-material problems with mass and cost constraints. In particular, the linear virtual element method (VEM) is constructed on unstructured polygonal meshes. The linear VEM is desirable in the sense that numerical integration is not explicitly required, significantly reducing the computational effort.

24p dianmotminh02 03-05-2024 2 1   Download

his study presents an innovative numerical method that combines the polygonal finite element method (Poly-FEM) with conic optimization techniques within the framework of structural shakedown analysis.

14p vijeff 30-11-2023 7 3   Download

In this study, we apply an artificial viscosity method to convert an unsteady level set (LS) convection equation into an unsteady LS convection-diffusion transport equation to stabilize the numerical solution of the convection term. Then a novel least-square polygonal finite element method is used to solve an unsteady LS convection-diffusion problem.

9p viharry 14-12-2022 8 2   Download

The thirteen books of Euclid's elements: Vol.2 (Books 3 and 4) present the content: circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc. Invite you to consult the ebook to grasp the content details.

445p cao_duy_son 06-08-2019 40 2   Download