An overview of layerwise theories for composite laminates and structures: Development, numerical implementation and application

KM Liew, ZZ Pan, LW Zhang - Composite Structures, 2019‏ - Elsevier
Over the past decades, a vast number of theories for numerical modeling of laminated
composite plates and shells has been developed by various researchers and for diverse …

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 …

Reduced order isogeometric boundary element methods for CAD-integrated shape optimization in electromagnetic scattering

L Chen, Z Wang, H Lian, Y Ma, Z Meng, P Li… - Computer Methods in …, 2024‏ - Elsevier
This paper formulates a model order reduction method for electromagnetic boundary
element analysis and extends it to computer-aided design integrated shape optimization of …

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 …

A hierarchical approach to adaptive local refinement in isogeometric analysis

AV Vuong, C Giannelli, B Jüttler, B Simeon - Computer Methods in Applied …, 2011‏ - Elsevier
Adaptive local refinement is one of the key issues in isogeometric analysis. In this article we
present an adaptive local refinement technique for isogeometric analysis based on …

Local refinement of analysis-suitable T-splines

MA Scott, X Li, TW Sederberg, TJR Hughes - Computer Methods in Applied …, 2012‏ - Elsevier
We develop a local refinement algorithm for analysis-suitable T-splines which does not
produce excessive propagation of control points. We then demonstrate its use as an …

GEMPIC: geometric electromagnetic particle-in-cell methods

M Kraus, K Kormann, PJ Morrison… - Journal of Plasma …, 2017‏ - cambridge.org
We present a novel framework for finite element particle-in-cell methods based on the
discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We …

Isogeometric finite element data structures based on Bézier extraction of T‐splines

MA Scott, MJ Borden, CV Verhoosel… - International Journal …, 2011‏ - Wiley Online Library
We develop finite element data structures for T‐splines based on Bézier extraction
generalizing our previous work for NURBS. As in traditional finite element analysis, the …

Contact treatment in isogeometric analysis with NURBS

I Temizer, P Wriggers, TJR Hughes - Computer Methods in Applied …, 2011‏ - Elsevier
We study NURBS-based isogeometric analysis of contact problems and compare with
standard C0-continuous Lagrange finite elements. A knot-to-surface (KTS) algorithm is …

Free vibration analysis of porous plates with porosity distributions in the thickness and in-plane directions using isogeometric approach

Y Xue, G **, X Ma, H Chen, T Ye, M Chen… - International Journal of …, 2019‏ - Elsevier
The main purpose of this paper is to study the free vibration of porous square plate, circular
plate, and rectangle plate with a central circular hole in the framework of isogeometric …