[LIBRO][B] Numerical models for differential problems

A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

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 …

THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis

C Giannelli, B Jüttler, SK Kleiss, A Mantzaflaris… - Computer Methods in …, 2016 - Elsevier
Local refinement with hierarchical B-spline structures is an active topic of research in the
context of geometric modeling and isogeometric analysis. By exploiting a multilevel control …

Adaptive isogeometric methods with hierarchical splines: an overview

C Bracco, A Buffa, C Giannelli… - Discrete And …, 2019 - infoscience.epfl.ch
We consider an adaptive isogeometric method (AIGM) based on (truncated) hierarchical B-
splines and present the study of its numerical properties. By following [10, 12, 11], optimal …

Adaptive isogeometric methods with hierarchical splines: error estimator and convergence

A Buffa, C Giannelli - Mathematical Models and Methods in Applied …, 2016 - World Scientific
The problem of develo** an adaptive isogeometric method (AIGM) for solving elliptic
second-order partial differential equations with truncated hierarchical B-splines of arbitrary …

An interactive geometry modeling and parametric design platform for isogeometric analysis

MC Hsu, C Wang, AJ Herrema, D Schillinger… - … & Mathematics with …, 2015 - Elsevier
In this paper an interactive parametric design-through-analysis platform is proposed to help
design engineers and analysts make more effective use of Isogeometric Analysis (IGA) to …

Numerical implementation for isogeometric analysis of thin-walled structures based on a Bézier extraction framework: nligaStruct

X Du, G Zhao, R Zhang, W Wang, J Yang - Thin-Walled Structures, 2022 - Elsevier
We present an open Octave/Matlab package nligaStruct, for linear and nonlinear
isogeometric analysis of thin-walled structures. nligaStruct is an extension of NLIGA in …

Shape sensing for thin-shell spaceborne antennas with adaptive isogeometric analysis and inverse finite element method

D Yu, S Wang, W Li, Y Yang, J Hong - Thin-Walled Structures, 2023 - Elsevier
As the preventive maintenance paradigm transfers to condition-based maintenance,
deformation monitoring has become a fundamental system capacity in aerospace …

Bézier extraction and adaptive refinement of truncated hierarchical NURBS

P Hennig, S Müller, M Kästner - Computer Methods in Applied Mechanics …, 2016 - Elsevier
This contribution presents Bézier extraction of truncated hierarchical B-splines and the
application of the approach to adaptive isogeometric analysis. The developed procedures …

Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates

J Niiranen, J Kiendl, AH Niemi, A Reali - Computer Methods in Applied …, 2017 - Elsevier
Sixth-order boundary value problems of a one-parameter gradient-elastic Kirchhoff plate
model are formulated in a weak form within an H 3 Sobolev space setting with the …