Accelerating large-scale topology optimization: state-of-the-art and challenges

S Mukherjee, D Lu, B Raghavan, P Breitkopf… - … Methods in Engineering, 2021 - Springer
Large-scale structural topology optimization has always suffered from prohibitively high
computational costs that have till date hindered its widespread use in industrial design. The …

Meshfree methods: progress made after 20 years

JS Chen, M Hillman, SW Chi - Journal of Engineering Mechanics, 2017 - ascelibrary.org
In the past two decades, meshfree methods have emerged into a new class of computational
methods with considerable success. In addition, a significant amount of progress has been …

Fast formation of isogeometric Galerkin matrices by weighted quadrature

F Calabro, G Sangalli, M Tani - Computer Methods in Applied Mechanics …, 2017 - Elsevier
In this paper we propose an algorithm for the formation of matrices of isogeometric Galerkin
methods. The algorithm is based on three ideas. The first is that we perform the external loop …

Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis

RR Hiemstra, F Calabro, D Schillinger… - Computer Methods in …, 2017 - Elsevier
We continue the study initiated in Hughes et al.(2010) in search of optimal quadrature rules
for tensor product and hierarchically refined splines in isogeometric analysis. These rules …

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 …

Computer modeling of wind turbines: 2. Free-surface FSI and fatigue-damage

Y Bazilevs, J Yan, X Deng, A Korobenko - Archives of Computational …, 2019 - Springer
This article reviews state-of-the-art numerical techniques for fluid–structure interaction (FSI)
of full-scale wind-turbine systems. Simulation of floating wind turbines subjected to …

Fluid–structure interaction modeling for fatigue-damage prediction in full-scale wind-turbine blades

Y Bazilevs, A Korobenko… - Journal of Applied …, 2016 - asmedigitalcollection.asme.org
This work presents a collection of advanced computational methods, and their coupling, that
enable prediction of fatigue-damage evolution in full-scale composite blades of wind …

Low rank tensor methods in Galerkin-based isogeometric analysis

A Mantzaflaris, B Jüttler, BN Khoromskij… - Computer Methods in …, 2017 - Elsevier
The global (patch-wise) geometry map, which describes the computational domain, is a new
feature in isogeometric analysis. This map has a global tensor structure, inherited from the …

An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods

D Wang, J Wu - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
An efficient nesting sub-domain gradient smoothing integration algorithm is proposed for
Galerkin meshfree methods with particular reference to the quadratic exactness. This …

Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems

TH Huang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Meshfree methods such as reproducing kernel (RK) approximation are suitable for modeling
fluid flow problems because of their flexibility in controlling local smoothness and order of …