activity
20222026
most citedA mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

41 citations · 48 across the 10 of their papers we have counts for

collaborators

11 papers

math.NA2026

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

A theoretical analysis of mass scaling techniques

Yannis Voet, Espen Sande, Annalisa Buffa

Mass scaling is widely used in finite element models of structural dynamics for increasing the critical time step of explicit time integration methods. While the field has been flo…

math.NA2024★ 3 cited

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…

math.NA2024

Mass lumping and outlier removal strategies for complex geometries in isogeometric analysis

Yannis Voet, Espen Sande, Annalisa Buffa

Mass lumping techniques are commonly employed in explicit time integration schemes for problems in structural dynamics and both avoid solving costly linear systems with the consist…

math.NA2023

Preconditioning techniques for generalized Sylvester matrix equations

Yannis Voet

Sylvester matrix equations are ubiquitous in scientific computing. However, few solution techniques exist for their generalized multiterm version, as they now arise in an increasin…

math.NA2022★ 41 cited

A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

Yannis Voet, Espen Sande, Annalisa Buffa

Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at eac…

math.NA2022★ 4 cited

On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

Yannis Voet

The finite element method is a well-established method for the numerical solution of partial differential equations (PDEs), both linear and nonlinear. However, the repeated reassem…