8 papers
Deflation-based preconditioning for immersed finite element methods and immersogeometric analysis
Yannis Voet, Matthias Möller, Pablo Antolin +1
Trimming is a ubiquitous operation in computer-aided-design whereby parts of a geometry are merged, intersected, or simply discarded. While it grants virtually unlimited flexibilit…
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
Yannis Voet, Espen Sande
While interpolatory bases such as the Lagrange basis form the cornerstone of classical finite element methods, they have been replaced in the more general finite element setting of…
Identifying Kronecker product factorizations
Yannis Voet, Leonardo De Novellis
The Kronecker product is an invaluable tool for data-sparse representations of large networks and matrices with countless applications in machine learning, graph theory and numeric…
Stabilization techniques for immersogeometric analysis of plate and shell problems in explicit dynamics
Giuliano Guarino, Yannis Voet, Pablo Antolin +1
Finite element plate and shell formulations are ubiquitous in structural analysis for modeling all kinds of slender structures, both for static and dynamic analyses. The latter are…
A theoretical study on the effect of mass lumping on the discrete frequencies in immersogeometric analysis
Ivan Bioli, Yannis Voet
In structural dynamics, mass lumping techniques are commonly employed for improving the efficiency of explicit time integration schemes and increasing their critical time step cons…
Mass lumping and stabilization for immersogeometric analysis
Yannis Voet, Espen Sande, Annalisa Buffa
Trimmed (multi-patch) geometries are the state-of-the-art technology in computer-aided design for industrial applications such as automobile crashworthiness. In this context, fast…