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 …

Isogeometric boundary element analysis using unstructured T-splines

MA Scott, RN Simpson, JA Evans, S Lipton… - Computer Methods in …, 2013 - Elsevier
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

X Peng, E Atroshchenko, P Kerfriden… - Computer Methods in …, 2017 - Elsevier
We present a novel numerical method to simulate crack growth in 3D, directly from the
Computer-Aided Design (CAD) geometry of the component, without any mesh generation …

Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods

LL Chen, H Lian, Z Liu, HB Chen… - Computer Methods in …, 2019 - Elsevier
The boundary element method (BEM) is a powerful tool in computational acoustics, because
the analysis is conducted only on structural surfaces, compared to the finite element method …

Acoustic isogeometric boundary element analysis

RN Simpson, MA Scott, M Taus, DC Thomas… - Computer Methods in …, 2014 - Elsevier
An isogeometric boundary element method based on T-splines is used to simulate acoustic
phenomena. We restrict our developments to low-frequency problems to establish the …

Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS

I Temizer, P Wriggers, TJR Hughes - Computer Methods in Applied …, 2012 - Elsevier
A three-dimensional mortar-based frictional contact treatment in isogeometric analysis with
NURBS is presented in the finite deformation regime. Within a setting where the NURBS …

Isogeometric analysis and shape optimization via boundary integral

K Li, X Qian - Computer-Aided Design, 2011 - Elsevier
In this paper, we present a boundary integral based approach to isogeometric analysis and
shape optimization. For analysis, it uses the same basis, Non-Uniform Rational B-Spline …

Fast isogeometric boundary element method based on independent field approximation

B Marussig, J Zechner, G Beer, TP Fries - Computer Methods in Applied …, 2015 - Elsevier
An isogeometric boundary element method for problems in elasticity is presented, which is
based on an independent approximation for the geometry, traction and displacement field …

Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines

H Lian, P Kerfriden, SPA Bordas - Computer Methods in Applied Mechanics …, 2017 - Elsevier
We develop a T-spline isogeometric boundary element method (IGABEM)(Simpson et al.,
2012; Scott et al., 2013; Simpson et al., 2014) to shape sensitivity analysis and gradient …

Structural shape optimization by IGABEM and particle swarm optimization algorithm

SH Sun, TT Yu, TT Nguyen, E Atroshchenko… - … Analysis with Boundary …, 2018 - Elsevier
In this paper, a new approach is developed for structural shape optimization, which consists
in coupling the particle swarm optimization (PSO) algorithm and the isogeometric boundary …