activity
20192025
most citedA hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

15 citations · 29 across the 11 of their papers we have counts for

collaborators

12 papers

cs.GR2025

On design, analysis, and hybrid manufacturing of microstructured blade-like geometries

Pablo Antolin, Michael Barton, Georges-Pierre Bonneau +17

With the evolution of new manufacturing technologies such as multi-material 3D printing, one can think of new type of objects that consist of considerably less, yet heterogeneous,…

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

The Immersed Boundary Conformal Method for Kirchhoff-Love and Reissner-Mindlin shells

Giuliano Guarino, Alberto Milazzo, Annalisa Buffa +1

This work utilizes the Immersed Boundary Conformal Method (IBCM) to analyze Kirchhoff-Love and Reissner-Mindlin shell structures within an immersed domain framework. Immersed bound…

math.NA2024★ 14 cited

An Interior Penalty coupling strategy for Isogeometric non-conformal Kirchhoff-Love shell patches

Giuliano Guarino, Pablo Antolin, Alberto Milazzo +1

This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the requirement of Kirchhoff-L…

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

An equilibrated flux a posteriori error estimator for defeaturing problems

Annalisa Buffa, Ondine Chanon, Denise Grappein +2

An a posteriori error estimator based on an equilibrated flux reconstruction is proposed for defeaturing problems in the context of finite element discretizations. Defeaturing cons…

math.NA2023

Energy conservative isogeometric techniques for the wave equation

Andrea Bressan, Annalisa Buffa, Alen Kushova +1

We analyze the wave equation in mixed form, with periodic and/or Dirichlet homogeneous boundary conditions, and nonconstant coefficients that depend on the spatial variable. For th…

math.NA2021

Fast and Multiscale Formation of Isogeometric matrices of Microstructured Geometric Models

Thibaut Hirschler, Pablo Antolin, Annalisa Buffa

The matrix formation associated to high-order discretizations is known to be numerically demanding. Based on the existing procedure of interpolation and lookup, we design a multisc…

math.NA2020

Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems

Xiaodong Wei, Benjamin Marussig, Pablo Antolin +1

We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a si…

math.NA2019★ 15 cited

A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells

Pablo Antolin, Annalisa Buffa, Luca Coradello

This work focuses on the development of a posteriori error estimates for fourth-order, elliptic, partial differential equations. In particular, we propose a novel algorithm to stee…