436 citations · 437 across the 2 of their papers we have counts for
3 papers
math.NA2013★ 436 cited
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…
math.OC2013★ 1 cited
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…
math.NA2013
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…