Isogeometric collocation methods for analysis suitable mesh generation

Research output: Conference Papers (RGC: 31A, 31B, 32, 33)33_Other conference paperNot applicablepeer-review

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Detail(s)

Original languageEnglish
Publication statusPresented - Aug 2018

Conference

TitleInternational Symposium on Isogeometric Analysis and Mesh Generation (IGA&Mesh) 2018
LocationHi Chance (Dalian) Science & Technology Center
PlaceChina
CityDalian
Period3 - 5 August 2018

Abstract

Isogeometric analysis (IGA) was introduced in 2005 with the main aim of bridging Computer Aided Design (CAD) and Finite Element Analysis (FEA) [1]. Most IGA researches are either based on Galerkin or collocation formulations. Isogeometric collocation (IGA-C) methods provide the potential to increase the computational efficiency of isogeometric analysis with a specified level of accuracy [2]. In IGA, parameterization of computational domain has great effects as mesh generation in finite element analysis on analysis results and efficiency. From the given boundary information with spline representations several approaches has been proposed such as mapping methods to address the parameterization problem of the computational domain. In IGA, the parameterization of the computational domain is determined by control points, knot vectors and the degree of NURBS. The knot vectors and the degree of the computational domain are determined by the given boundary curve. The quality of the parameterization of computational domain is determined by the positions of the inner control points. In Isogeometric parameterization field Gang-Xu et. all has significant contribution [3]. In this study, the general formulation of (IGA-C) method has been implemented in parameterization field using non-uniform rational B-spline (NURBS) with Greville abscissae collocation points’ scheme. The parameterization is generated based on the numerical solution of a partial differential system of equations that has been solved via IGA-C. Elliptic PDEs generally have very smooth solutions leading to smooth contour. Using its smoothness as an advantage Laplace equation has been solved via IGA-C method to find the position of the inner control points for analysis suitable parameterization. The position of the inner control points can be changed via controlling the parameters of the PDE. The initial results verify the proposed methodology and can be used to find the analysis suitable mesh generation.

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Research Unit(s) information for this publication is provided by the author(s) concerned.

Citation Format(s)

Isogeometric collocation methods for analysis suitable mesh generation. / Ali, Zulfiqar; Ma, Weiyin.

2018. International Symposium on Isogeometric Analysis and Mesh Generation (IGA&Mesh) 2018, Dalian, China.

Research output: Conference Papers (RGC: 31A, 31B, 32, 33)33_Other conference paperNot applicablepeer-review