An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems
An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems
复制标题
多重散射问题的狄利克雷-诺伊曼有限元方法的先验误差估计
DOI：
10.1007/s13160-013-0129-x
复制
发表时间：
2014
影响因子：
0.9
通讯作者：
Daisuke Koyama
中科院分区：
文献类型：
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作者：
MAJIMA;Hideyuki;真島 秀行;真島 秀行;真島 秀行;真島 秀行;真島 秀行;真島 秀行;真島 秀行;真島 秀行;真島秀行;真島秀行;Fumio Kikuchi and Daisuke Koyama;C. Uno and E. Isogai;Daisuke Koyama
Grote和Kirsch（J Comput Phys 201：630-650，2004）已经推导出多重Dirichlet-to-Neumann（DtN）边界条件以数值地解决多重散射问题。对多重DtN边界条件下Helmholtz问题的有限元方法建立了一个先验误差估计。的误差估计占截断的无限傅立叶级数表示的多个DtN边界条件，以及有限元方法的离散化的影响。
The multiple Dirichlet-to-Neumann (DtN) boundary condition has been derived by Grote and Kirsch (J Comput Phys 201:630–650, 2004) to numerically solve multiple scattering problems. An a priori error estimate is established for finite element methods applied to the Helmholtz problem with the multiple DtN boundary condition. The error estimates account for the effects of truncation of infinite Fourier series representing the multiple DtN boundary condition as well as of discretization of the finite element method.