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 …

A comprehensive review of isogeometric topology optimization: methods, applications and prospects

J Gao, M Xiao, Y Zhang, L Gao - Chinese Journal of Mechanical …, 2020 - Springer
Topology Optimization (TO) is a powerful numerical technique to determine the optimal
material layout in a design domain, which has accepted considerable developments in …

Learning two-phase microstructure evolution using neural operators and autoencoder architectures

V Oommen, K Shukla, S Goswami… - npj Computational …, 2022 - nature.com
Phase-field modeling is an effective but computationally expensive method for capturing the
mesoscale morphological and microstructure evolution in materials. Hence, fast and …

[图书][B] Isogeometric analysis: toward integration of CAD and FEA

JA Cottrell, TJR Hughes, Y Bazilevs - 2009 - books.google.com
“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …

Isogeometric analysis using T-splines

Y Bazilevs, VM Calo, JA Cottrell, JA Evans… - Computer methods in …, 2010 - Elsevier
We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …

[图书][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 …

An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD …

D Schillinger, L Dede, MA Scott, JA Evans… - Computer Methods in …, 2012 - Elsevier
We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …

Isogeometric finite element data structures based on Bézier extraction of NURBS

MJ Borden, MA Scott, JA Evans… - International Journal for …, 2011 - Wiley Online Library
We present the B'ezier extraction operator and isogeometric Bézier elements for non‐
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …

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 …

[图书][B] The Cahn–Hilliard equation: recent advances and applications

A Miranville - 2019 - SIAM
This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …