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 …

An insight on NURBS based isogeometric analysis, its current status and involvement in mechanical applications

V Gupta, A Jameel, SK Verma, S Anand… - Archives of Computational …, 2023 - Springer
The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …

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 …

Physics constrained learning for data-driven inverse modeling from sparse observations

K Xu, E Darve - Journal of Computational Physics, 2022 - Elsevier
Deep neural networks (DNN) can model nonlinear relations between physical quantities.
Those DNNs are embedded in physical systems described by partial differential equations …

[HTML][HTML] IETI–isogeometric tearing and interconnecting

SK Kleiss, C Pechstein, B Jüttler, S Tomar - Computer methods in applied …, 2012 - Elsevier
Finite Element Tearing and Interconnecting (FETI) methods are a powerful approach to
designing solvers for large-scale problems in computational mechanics. The numerical …

[HTML][HTML] Two-and three-dimensional isogeometric cohesive elements for composite delamination analysis

VP Nguyen, P Kerfriden, SPA Bordas - Composites Part B: Engineering, 2014 - Elsevier
We propose an automatic numerical method requiring minimal user intervention to simulate
delamination in composite structures. We develop isogeometric cohesive elements for two …

Isogeometric generalized n th order perturbation-based stochastic method for exact geometric modeling of (composite) structures: Static and dynamic analysis with …

C Ding, X Hu, X Cui, G Li, Y Cai, KK Tamma - Computer Methods in …, 2019 - Elsevier
The contribution herein proposes an isogeometric generalized n th order perturbation-based
stochastic method for exactly modeling/representing composite structures comprising of …

Isogeometric shape optimization in fluid mechanics

P Nørtoft, J Gravesen - Structural and Multidisciplinary Optimization, 2013 - Springer
The subject of this work is numerical shape optimization in fluid mechanics, based on
isogeometric analysis. The generic goal is to design the shape of a 2-dimensional flow …

The value of continuity: Refined isogeometric analysis and fast direct solvers

D Garcia, D Pardo, L Dalcin, M Paszyński… - Computer Methods in …, 2017 - Elsevier
We propose the use of highly continuous finite element spaces interconnected with low
continuity hyperplanes to maximize the performance of direct solvers. Starting from a highly …

Isogeometric finite element analysis of interior acoustic problems

H Wu, W Ye, W Jiang - Applied Acoustics, 2015 - Elsevier
Isogeometric Analysis (IGA) can bridge the gap between geometrical and numerical
modeling. To this end, the same basis functions used in Computer Aided Design are applied …