Scaled boundary isogeometric analysis for electrostatic problems

被引：6
|
作者：
Xue, Binghan [1 ,2 ]
Lin, Gao [1 ,2 ]
Hu, Zhiqiang [1 ,2 ]
机构：
[1] Dalian Univ Technol, State Key Lab Coastal & Offshore Engn, Dalian 116024, Liaoning, Peoples R China
[2] Dalian Univ Technol, Inst Earthquake Engn, Fac Infrastruct Engn, Dalian 116024, Liaoning, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2017年 / 85卷
基金：
中国国家自然科学基金;
关键词：
Electrostatic problems; SBFEM; NURBS; Scaled boundary isogeometric analysis; Mortar method; FINITE-ELEMENT-METHOD; MORTAR METHODS; NURBS; PRIMER;
D O I：
10.1016/j.enganabound.2017.09.012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The scaled boundary isogeometric analysis (SBIGA) is a novel semi-analytical technique, combing the advantages of the scaled boundary finite element method and the isogeometric analysis. In this paper, SBIGA is firstly exploited to solve electrostatic problems. According to the Laplace equation of electrostatic problems, the derivations and solutions of SBIGA equations for bounded domain and open domain problems are presented in details. A mortar method is employed to couple the solution on different subdomains, when the electrostatic problems with inhomogeneous media or complex boundaries which cannot be described by a single NURBS patch or cannot satisfy the scaling requirement in SBIGA. The mortar-based SBIGA can retain the flexibility of interface meshes compared with strong coupling methods. A condensation scheme is exploited to treat system equation in the analysis. Several numerical examples confirm the effectiveness, accuracy and convergence properties of SBIGA and the mortar-based SBIGA in solving electrostatic problems. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：20 / 29
页数：10
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