436 citations · 994 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
Dynamic Adaptive Mesh Refinement for Topology Optimization
Shun Wang, Eric de Sturler, Glaucio H. Paulino
We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually mod…
Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics
Youn-Sha Chan, Albert C. Fannjiang, Glaucio H. Paulino
Hypersingular integrals of the type $I_α(T_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{T_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^α}ds |r|<1$ and $I_α(U_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{U_n(s…