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利用试探函数法求Drinfel＇d-Sokolov-Wilson方程组的精确解
  • ISSN号：1001-988X
  • 期刊名称：《西北师范大学学报：自然科学版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]桂林电子科技大学数学与计算科学学院,广西桂林,541004
  • 相关基金：国家自然科学基金（11161014,11161020）
作者： 赵云梅[1]
关键词： Helmholtz问题, 有限元, 快速傅里叶变换, 预处理, Helmholtz problem finite element fast Fourier transform pretreatment
中文摘要：

针对二维 Helmholtz外问题，基于有限元离散，提出一种快速求解方法。采用快速傅里叶变换和LU分解将 Helm-holtz方程对应的离散方程转化为维数较小的界面方程，通过预处理最终得到方程的解。

英文摘要：

In view of two-dimensional exterior Helmholtz problem,a fast algorithm based on the finite element discrete is put forward.By using fast Fourier transform and LU decomposition,the discrete equation corresponding to Helmholtz equation is converted to a smaller interface equation.The solution of the equation is obtained finally by the pretreatment method.

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期刊信息
  • 《西北师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教育厅
  • 主办单位:西北师范大学
  • 主编：俞诗源
  • 地址：兰州市安宁东路967号
  • 邮编：730070
  • 邮箱：sdxbz@nwnu.edu.cn
  • 电话：0931-7971692
  • 国际标准刊号：ISSN：1001-988X
  • 国内统一刊号：ISSN：62-1087/N
  • 邮发代号:54-53
  • 获奖情况:
  • 第二届全国优秀科技期刊三等奖,全国优秀高校自然科学学报及教育部优秀期刊二等奖,全国高等学校自然科学学报系统优秀学报一等奖
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  • 被引量:7823