Scaled boundary isogeometric analysis for electrostatic problems. (December 2017)

• Record Type: Journal Article
• Authors: Xue, Binghan; Lin, Gao; Hu, Zhiqiang
• Is Part Of: Engineering analysis with boundary elements. Volume 85(2017)
• Page Start: 20
• Page End: 29
• Publication Date: 2017-12
• Subjects: Electrostatic problems -- SBFEM -- NURBS -- Scaled boundary isogeometric analysis -- Mortar method; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.09.012
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: 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.