Mathematical foundations of adaptive isogeometric analysis

A Buffa, G Gantner, C Giannelli, D Praetorius… - … Methods in Engineering, 2022 - Springer
This paper reviews the state of the art and discusses recent developments in the field of
adaptive isogeometric analysis, with special focus on the mathematical theory. This includes …

Voids identification by isogeometric boundary element and neural network algorithms

D Di Giacinto, V Musone, E Ruocco - International Journal of Mechanical …, 2022 - Elsevier
This paper investigates the potential of the concomitant use of both Isogeometric Boundary
Element Method (IGABEM) and Artificial Neural Networks Algorithm (ANN) to determine the …

[HTML][HTML] IgA-BEM for 3D Helmholtz problems using conforming and non-conforming multi-patch discretizations and B-spline tailored numerical integration

B Degli Esposti, A Falini, T Kanduč, ML Sampoli… - … & Mathematics with …, 2023 - Elsevier
Abstract An Isogeometric Boundary Element Method (IgA-BEM) is considered for the
numerical solution of Helmholtz problems on 3D bounded or unbounded domains, admitting …

Adaptive multi-patch isogeometric analysis with truncated hierarchical B-splines in isotropic/orthotropic media

L Wang, T Yu, W Fang, TQ Bui - Composite Structures, 2024 - Elsevier
We present an adaptive multi-patch isogeometric analysis on the basis of truncated
hierarchical B-splines (THB-splines) for solving two-dimensional complex …

Adaptive analysis-aware defeaturing

A Buffa, O Chanon, R Vázquez - arXiv preprint arXiv:2212.05183, 2022 - arxiv.org
Removing geometrical details from a complex domain is a classical operation in computer
aided design for simulation and manufacturing. This procedure simplifies the meshing …

Adaptive Isogeometric Analysis using optimal transport and their fast solvers

M Bahari, A Habbal, A Ratnani… - Computer Methods in …, 2024 - Elsevier
In this work, we devise fast solvers and adaptive mesh generation procedures based on the
Monge–Ampère Equation using B-Splines Finite Elements, within the Isogeometric Analysis …

Stable Implementation of Adaptive IGABEM in 2D in MATLAB

G Gantner, D Praetorius, S Schimanko - Computational Methods in …, 2022 - degruyter.com
We report on the Matlab program package IGABEM2D which provides an easily accessible
implementation of adaptive Galerkin boundary element methods in the frame of …

IgA-BEM for 3D Helmholtz problems on multi-patch domains using B-spline tailored numerical integration

A Falini, T Kanduc, ML Sampoli, A Sestini - arXiv preprint arXiv …, 2022 - arxiv.org
An Isogeometric Boundary Element Method (IgA-BEM) is considered for the numerical
solution of Helmholtz problems on 3D bounded or unbounded domains, admitting a smooth …