摘要
对于二维Helmholtz方程问题,本文提出一种基于积分核级数展开的多极边界元方法,推导证明了二维Helmholtz方程的多极展开定理,给出了多极边界元法计算公式和计算过程,分析了截断误差,说明截断误差可由截断项数控制,并给出一个可广泛应用于实际计算的截断项数的近似表达式。
A kind of Fast Multipole Boundary Element Method（FM-BEM） based on series expansion of integral kernel is proposed to solve two-dimensional（2-D） Helmholtz equation problems in this paper.A theorem of multipole expansion is derived and proved for the fundamental solution.Numerical formulas and computational process of the FM-BEM are obtained for 2-D Helmholtz equation problems.The truncation error is analyzed and proved to be controlled by a truncation number.A refined approximate expression of is finally derived for practical science and engineering computation.
出处
《燕山大学学报》
CAS
2013年第3期254-259,共6页
Journal of Yanshan University
基金
河北省自然科学基金资助项目(A2011203020)
河北省高等学校科学技术研究重点资助项目(ZD2010116)
秦皇岛市科学技术研究与发展计划项目(2012021A046)
