activity
20092024
most citedThe deal.II finite element library: design, features, and insights

324 citations · 636 across the 33 of their papers we have counts for

collaborators
Showing 2023Show all

5 papers · 1 filter

math.NA2023★ 2 cited

Mixed-dimensional modeling of vascular tissues with reduced Lagrange multipliers

Camilla Belponer, Alfonso Caiazzo, Luca Heltai

This paper presents a numerical method for the simulation of multiscale materials composed of an elastic matrix and slender active inclusions. The setting is motivated by the model…

physics.class-ph2023

A fully-coupled nonlinear magnetoelastic thin shell formulation

Abhishek Ghosh, Andrew McBride, Zhaowei Liu +3

A geometrically exact dimensionally reduced order model for the nonlinear deformation of thin magnetoelastic shells is presented. The Kirchhoff-Love assumptions for the mechanical…

math.NA2023★ 9 cited

Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems

Michał Wichrowski, Piotr Krzyżanowski, Luca Heltai +1

In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid--structure interaction (FSI) problems using a matrix-free finite element method in…

math.NA2023

A comparison of non-matching techniques for the finite element approximation of interface problems

Daniele Boffi, Andrea Cangiani, Marco Feder +2

We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibl…

math.NA2023★ 1 cited

Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains

Luca Heltai, Paolo Zunino

Many physical problems involving heterogeneous spatial scales, such as the flow through fractured porous media, the study of fiber-reinforced materials, or the modeling of the smal…