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矢量波动方程的时空高阶方法
  • ISSN号：0253-2395
  • 期刊名称：《山西大学学报：自然科学版》
  • 时间：0
  • 分类：O241[理学—计算数学;理学—数学]
  • 作者机构：[1]许昌学院数学科学学院,河南许昌461000, [2]中国科学院数学与系统科学研究院计算数学与科学工程计算研究所,北京100190, [3]中国科学院研究生院,北京100190
  • 相关基金：国家自然科学基金（10672143;10872037）; 河南省教育厅自然科学基金（2009A110017）
作者： 赵艳敏[1], 何沧平[2,3]
关键词： 矢量波动方程, 矢量谱元方法, HAMILTON系统, 辛分块的Runge-Kutta方法, vector wave equation, vector spectral element method, Hamiltonian system, symplectic partitioned Runge-Kutta method
中文摘要：

文章将Gauss-Lobatto-Legendre多项式的高阶矢量谱元方法应用于矢量波动方程.由于矢量波动方程可以表示为一个无穷维Hamilton系统且经空间上的有限元方法离散后是一有限维Hamilton系统,利用4阶辛分块的Runge-Kutta方法来求解该有限维Hamilton系统,以期保持系统整体的能量和结构.

英文摘要：

The high-order vector SEM based on Gauss-Lobatto-Legendre（GLL）polynomials is applied to vector wave equation.Since the vector wave equation can be denoted as an infinite-dimensional Hamiltonian system which will become a finite-dimensional Hamiltonian system by the finite element discretization on spatial direction,we adopt 4th-order symplectic partitioned Runge-Kutta（SPRK）method to solve the finite-dimensional Hamiltonian system for conserving total energy and structure of the system.

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期刊信息
  • 《山西大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:山西省教育厅
  • 主办单位:山西大学
  • 主编：杨斌盛
  • 地址：太原市坞城路92号
  • 邮编：030006
  • 邮箱：xbbjb@sxu.edu.cn
  • 电话：0351-7010455
  • 国际标准刊号：ISSN：0253-2395
  • 国内统一刊号：ISSN：14-1105/N
  • 邮发代号:22-42
  • 获奖情况:
  • 边疆七年获山西省一级期刊荣誉（1993-1999）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:5651