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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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Showing 2021Show all

5 papers · 1 filter

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…