436 citations · 994 across the 13 of their papers we have counts for
4 papers · 1 filter
Topology Optimization Using Polytopes
Arun L. Gain, Glaucio H. Paulino, Leonardo Duarte +1
Meshing complex engineering domains is a challenging task. Arbitrary polyhedral meshes can provide the much needed flexibility in automated discretization of such domains. The geom…
On the Virtual Element Method for Three-Dimensional Elasticity Problems on Arbitrary Polyhedral Meshes
Arun L. Gain, Cameron Talischi, Glaucio H. Paulino
We explore the recently-proposed Virtual Element Method (VEM) for numerical solution of boundary value problems on arbitrary polyhedral meshes. More specifically, we focus on the e…
A consistent operator splitting algorithm and a two-metric variant: Application to topology optimization
Cameron Talischi, Glaucio H. Paulino
In this work, we explore the use of operator splitting algorithms for solving regularized structural topology optimization problems. The context is the classical structural design…
Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection
Cameron Talischi, Glaucio H. Paulino
Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences o…