3 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
A Scharfetter-Gummerl stabilization scheme for HDG approximations of convection-diffusion problems
Stefano Piani, Luca Heltai, Wenyu Lei
We present a Scharfetter-Gummel (SG) stabilization scheme for high-order Hybrid Discontinuous Galerkin (HDG) approximations of convection-diffusion problems. The scheme is based on…
Computational bifurcation analysis of hyperelastic thin shells
Zhaowei Liu, Andrew McBride, Abhishek Ghosh +5
The inflation of hyperelastic thin shells is an important and highly nonlinear problem that arises in multiple engineering applications involving severe kinematic and constitutive…
Vibration Analysis of Piezoelectric Kirchhoff-Love Shells based on Catmull-Clark Subdivision Surfaces
Zhaowei Liu, Andrew McBride, Prashant Saxena +3
An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics is specialised to infinitesimal deformations and foll…
Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems
Stefano Giani, Luka Grubišić, Luca Heltai +1
We present a perturbed subspace iteration algorithm to approximate the lowermost eigenvalue cluster of an elliptic eigenvalue problem. As a prototype, we consider the Laplace eigen…
Quasi-optimal mesh sequence construction through Smoothed Adaptive Finite Element Method
Ornela Mulita, Stefano Giani, Luca Heltai
We propose a new algorithm for Adaptive Finite Element Methods (AFEMs) based on smoothing iterations (S-AFEM), for linear, second-order, elliptic partial differential equations (PD…