ERROR ESTIMATION FOR NUMERICAL METHODS USING THE ULTRA WEAK VARIATIONAL FORMULATION IN MODEL OF NEAR FIELD SCATTERING PROBLEM

被引：3

作者：

Luan, Tian ^{[1
]}

Ma, Fuming ^{[2
]}

Liu, Minghui ^{[2
]}

机构：

[1] Beihua Univ, Sch Math & Stat, Fengman 132013, Jilin, Peoples R China

[2] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2014年 / 32卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Helmholtz equation; Ultra weak variational formulation; Plane wave function; Evanescent wave function; Absorbing boundary condition; DISCONTINUOUS GALERKIN METHODS; FINITE-ELEMENT-METHOD; HELMHOLTZ-EQUATION; MICROSCOPY; PARTITION; VERSION; OPTICS;

D O I：

10.4208/jcm.1403-m4404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the use of ultra weak variational formulation to solve a wave scattering problem in near field optics. In order to capture the sub-scale features of waves, we utilize evanescent wave functions together with plane wave functions to approximate the local properties of the field. We analyze the global convergence and give an error estimation of the method. Numerical examples are also presented to demonstrate the effectiveness of the strategy.

引用

页码：491 / 506

页数：16

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