324 citations · 636 across the 33 of their papers we have counts for
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Adaptive finite element approximations for elliptic problems using regularized forcing data
Luca Heltai, Wenyu Lei
We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollif…
Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle
Dirk Peschka, Luca Heltai
We present a mathematical and numerical framework for thin-film fluid flows over planar surfaces including dynamic contact angles. In particular, we provide algorithmic details and…
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…