四川师范大学学报（自然科学版）2012，Vol.35Issue(5)：618-624,7.DOI:10.3969/j.issn.1001-8395.2012.05.010
四边形网上双曲型方程的有限体积元法
The Finite Volume Element Methods for Hyperbolic Equations on Quadrilateral Meshes
摘要
Abstract
Finite volume element methods attract extensive attention worldwide. These methods have the same convergence orders as the corresponding finite element methods. They require less computational expenses, and keep the physical conservation and so on. We discuss the finite volume element methods for hyperbolic equations on quadrilateral meshes. Under the assumption that all elements on quadrilateral meshes are h2 quasi-parallel quadrilateral elements, the optimal H1 and L2 norms error estimates are obtained for the semi-discrete finite volume element scheme of the hyperbolic equations, and the error estimates are also obtained for the two fully-dis-crete finite volume element schemes.关键词
双曲型方程/四边形网格/有限体积元法/误差估计Key words
hyperbolic equation/ quadrilateral meshes/ finite volume element method/ error estimate分类
数理科学引用本文复制引用
甘小艇,阳莺,张坤..四边形网上双曲型方程的有限体积元法[J].四川师范大学学报（自然科学版）,2012,35(5):618-624,7.基金项目
国家自然科学基金(11001062)和广西教育厅基金(201012MS094)资助项目 （11001062）
