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.

引用

页码：3067 / 3077

页数：11

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