Bivariate Spline Finite Element Solver for Linear Hyperbolic Equations in Two-Dimensional Spaces

被引：2
|
作者：
Qu, Kai [1 ]
Zhang, Mengdi [1 ]
Wang, Ning [2 ]
Xuan, Jiawei [1 ]
机构：
[1] Dalian Maritime Univ, Coll Sci, Dalian, Peoples R China
[2] Dalian Maritime Univ, Sch Marine Elect Engn, Dalian, Peoples R China
来源：
WIRELESS PERSONAL COMMUNICATIONS | 2018年 / 102卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Bivariate spline; Finite element; Linear hyperbolic equations; Numerical simulation;
D O I：
10.1007/s11277-018-5326-0
中图分类号：
TN [电子技术、通信技术];
学科分类号：
0809 ;
摘要：
In this paper, a finite element method using bivariate spline on domains is proposed for solving linear hyperbolic equations in two-dimensional spaces. Bivariate spline space S-4(2,3) (Delta((2))(mn)) is constructed. It not only satisfies homogeneous boundary constraints but also satisfies interpolating boundary conditions on type-2 triangulations. Two examples are shown to confirm the correctness of theoretical conclusions. This means that spline method is efficient and feasible to solve 2D linear hyperbolic equations.
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页码：3067 / 3077
页数：11
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