Solving a scattering problem in near field optics by a least-squares method
type: Item
instance of: scholarly article
title: Solving a scattering problem in near field optics by a least-squares method
zbMATH Open document ID: 1403.78007
author: Tian Luan
author: Yao Sun
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 6915208
zbMATH Keywords: fundamental solution
zbMATH Keywords: plane wave functions
zbMATH Keywords: least-squares technique
zbMATH Keywords: near field scattering
MaRDI profile type: Publication
full work available at URL: j.enganabound.2016.01.006
OpenAlex ID: W2268631818
cites work: Q5702461
cites work: Finite element analysis of acoustic scattering
cites work: Finite Element Methods for Maxwell's Equations
cites work: The Helmholtz equation with impedance in a half-plane
cites work: A Uniqueness Theorem for Helmholtz’ Equation: Penetrable Media with an Infinite Interface
cites work: Radiation condition and scattering problem for time-harmonic acoustic waves in a stratified medium with a nonstratified inhomogeneity
cites work: Acoustic Scattering by an Inhomogeneous Layer on a Rigid Plate
cites work: Error Estimation for Numerical Methods Using the Ultra Weak Variational Formulation in Model of Near Field Scattering Problem
cites work: Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
cites work: Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
cites work: A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
cites work: Plane wave discontinuous Galerkin methods: Analysis of theh-version
cites work: A comparison of two Trefftz-type methods: the ultraweak variational formulation and the least-squares method, for solving shortwave 2-D Helmholtz problems
cites work: Partition of unity method for Helmholtz equation: \(q\)-convergence for plane-wave and wave-band local bases.
cites work: THE PARTITION OF UNITY METHOD
cites work: THE MULTISCALE VTCR APPROACH APPLIED TO ACOUSTICS PROBLEMS
cites work: An efficient Wave Based Method for 2D acoustic problems containing corner singularities
cites work: A least-squares method for the Helmholtz equation
cites work: A least-squares non-polynomial finite element method for solving the polygonal-line grating problem
cites work: The method of fundamental solutions for scattering and radiation problems.
cites work: Application of the MFS to inverse obstacle scattering problems
cites work: A meshless numerical identification of a sound-hard obstacle
cites work: Plane wave approximation of homogeneous Helmholtz solutions
cites work: Locating the support of objects contained in a two-layered background medium in two dimensions
cites work: An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons
DOI: 10.1016/J.ENGANABOUND.2016.01.006
description: scientific article; zbMATH DE number 6915208