Isogeometric analysis: an overview and computer implementation aspects

VP Nguyen, C Anitescu, SPA Bordas… - … and Computers in …, 2015 - Elsevier
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

Mathematical analysis of variational isogeometric methods

LB Da Veiga, A Buffa, G Sangalli, R Vázquez - Acta Numerica, 2014 - cambridge.org
This review paper collects several results that form part of the theoretical foundation of
isogeometric methods. We analyse variational techniques for the numerical resolution of …

An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves

D Kamensky, MC Hsu, D Schillinger, JA Evans… - Computer methods in …, 2015 - Elsevier
In this paper, we develop a geometrically flexible technique for computational fluid–structure
interaction (FSI). The motivating application is the simulation of tri-leaflet bioprosthetic heart …

A virtual element method for contact

P Wriggers, WT Rust, BD Reddy - Computational Mechanics, 2016 - Springer
The problem of contact between two elastic bodies is addressed computationally using the
virtual element method (VEM). The use of the VEM allows the use of non-matching meshes …

An extended isogeometric thin shell analysis based on Kirchhoff–Love theory

N Nguyen-Thanh, N Valizadeh, MN Nguyen… - Computer Methods in …, 2015 - Elsevier
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation

MC Hsu, D Kamensky, Y Bazilevs, MS Sacks… - Computational …, 2014 - Springer
We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

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 …

Analysis in computer aided design: Nonlinear isogeometric B-Rep analysis of shell structures

M Breitenberger, A Apostolatos, B Philipp… - Computer Methods in …, 2015 - Elsevier
A new concept called analysis in computer aided design (AiCAD) is proposed for design-
through-analysis workflow. This concept uses non-uniform rational B-Splines (NURBS) …

Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

M Ruess, D Schillinger, AI Oezcan, E Rank - Computer Methods in Applied …, 2014 - Elsevier
Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …

Nitsche's method for two and three dimensional NURBS patch coupling

VP Nguyen, P Kerfriden, M Brino, SPA Bordas… - Computational …, 2014 - Springer
We present a Nitche's method to couple non-conforming two and three-dimensional non
uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We …