Error Estimation for Numerical Methods Using the Ultra Weak Variational Formulation in Model of Near Field Scattering Problem
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 5 : pp. 491–506
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1403-m4404
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 5 : pp. 491–506
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Helmholtz equation Ultra weak variational formulation Plane wave function Evanescent wave function Absorbing boundary condition.