activity
20172025
most citedNonlinear static isogeometric analysis of arbitrarily curved Kirchhoff-Love shells

90 citations · 305 across the 29 of their papers we have counts for

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26 papers · 1 filter

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.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.NA2023★ 1 cited

Reduced Order Modeling based Inexact FETI-DP solver for lattice structures

Thibaut Hirschler, Robin Bouclier, Pablo Antolin +1

This paper addresses the overwhelming computational resources needed with standard numerical approaches to simulate architected materials. Those multiscale heterogeneous lattice st…

math.NA2023★ 11 cited

Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method

Margarita Chasapi, Pablo Antolin, Annalisa Buffa

This contribution presents a model order reduction framework for real-time efficient solution of trimmed, multi-patch isogeometric Kirchhoff-Love shells. In several scenarios, such…

math.NA2023

Stabilized isogeometric formulation of the Stokes problem on overlapping patches

Xiaodong Wei, Riccardo Puppi, Pablo Antolin +1

We present a novel stabilized isogeometric formulation for the Stokes problem, where the geometry of interest is obtained via overlapping NURBS (non-uniform rational B-spline) patc…

math.NA2022★ 15 cited

A localized reduced basis approach for unfitted domain methods on parameterized geometries

Margarita Chasapi, Pablo Antolin, Annalisa Buffa

This work introduces a reduced order modeling (ROM) framework for the solution of parameterized second-order linear elliptic partial differential equations formulated on unfitted g…

math.NA2022

Analysis-aware defeaturing of complex geometries with Neumann features

Pablo Antolin, Ondine Chanon

Local modifications of a computational domain are often performed in order to simplify the meshing process and to reduce computational costs and memory requirements. However, remov…

math.NA2022★ 2 cited

Reduced order modelling of nonaffine problems on parameterized NURBS multipatch geometries

Margarita Chasapi, Pablo Antolin, Annalisa Buffa

This contribution explores the combined capabilities of reduced basis methods and IsoGeometric Analysis (IGA) in the context of parameterized partial differential equations. The in…

math.NA2021

Region extraction in mesh intersection

Pablo Antolin, Annalisa Buffa, Emiliano Cirillo

Region extraction is a very common task in both Computer Science and Engineering with several applications in object recognition and motion analysis, among others. Most of the lite…

math.NA2021★ 1 cited

DeepBND: a Machine Learning approach to enhance Multiscale Solid Mechanics

Felipe Rocha, Simone Deparis, Pablo Antolin +1

Effective properties of materials with random heterogeneous structures are typically determined by homogenising the mechanical quantity of interest in a window of observation. The…

math.NA2021★ 23 cited

Robust Numerical Integration on Curved Polyhedra Based on Folded Decompositions

Pablo Antolin, Xiaodong Wei, Annalisa Buffa

We present a novel method to perform numerical integration over curved polyhedra enclosed by high-order parametric surfaces. Such a polyhedron is first decomposed into a set of tri…

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.NA2021

Quadrature-free Immersed Isogeometric Analysis

Pablo Antolin, Thibaut Hirschler

This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not requ…

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.NA2020

Efficient equilibrium-based stress recovery for isogeometric laminated curved structures

Alessia Patton, Pablo Antolin, Josef Kiendl +1

This work focuses on an efficient stress recovery procedure for laminated composite curved structures, which relies on Isogeometric Analysis (IGA) and equilibrium. Using a single e…

math.NA2020★ 90 cited

Nonlinear static isogeometric analysis of arbitrarily curved Kirchhoff-Love shells

G. Radenković, A. Borković, B. Marussig

The geometrically rigorous nonlinear analysis of elastic shells is considered in the context of finite, but small, strain theory. The research is focused on the introduction of the…

math.NA2020

Accurate equilibrium-based interlaminar stress recovery for isogeometric laminated composite Kirchhoff plates

Alessia Patton, Pablo Antolin, John-Eric Dufour +2

In this paper, we use isogeometric Kirchhoff plates to approximate composite laminates adopting the classical laminate plate theory. Both isogeometric Galerkin and collocation form…

math.NA2019★ 6 cited

Overlapping Multi-Patch Isogeometric Method with Minimal Stabilization

Pablo Antolin, Annalisa Buffa, Riccardo Puppi +1

We present a novel method for isogeometric analysis (IGA) to directly work on geometries constructed by Boolean operations including difference (i.e., trimming), union and intersec…

math.NA2019★ 32 cited

Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

Luca Coradello, Pablo Antolin, Rafael Vázquez +1

The focus of this work is on the development of an error-driven isogeometric framework, capable of automatically performing an adaptive simulation in the context of second- and fou…

math.NA2019

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

Pablo Antolin, Josef Kiendl, Marco Pingaro +1

In this work, we focus on the family of shell formulations referred to as "solid shells", where the simulation of shell-type structures is performed by means of a mesh of 3D solid…

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…

math.NA2019

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

Pablo Antolin

This work presents a novel methodology for speeding up the assembly of stiffness matrices for laminate composite 3D structures in the context of isogeometric and finite element dis…

math.NA2019★ 60 cited

Isogeometric Analysis on V-reps: first results

Pablo Antolin, Annalisa Buffa, Massimiliano Martinelli

Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps) by Massarwi and Elber in 2016, in this paper we present a novel approach for the constru…