INTEGRAL_EQUATION

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Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem被引量：3
《Communications in Computational Physics》2022年第5期1546-1560,共15页Yunyun Ma Jiguang Sun 
supported by the NSFC under grant No.11901085.
We propose a numerical method for a non-selfadjoint Steklov eigenvalue problem of the Helmholtz equation.The problem is formulated using boundary integrals.The Nyström method is employed to discretize the integral ope...
关键词：Steklov eigenvalues non-selfadjoint problems integral equations Nyström method spectral projection 
Multi-Frequency Contrast Source Inversion for Reflection Seismic Data
《Communications in Computational Physics》2020年第6期207-227,共21页Shoudong Wang Ru-Shan Wu 
supported by the National Science and Technology of Major Projects of China(grant no.2016ZX05024-001-004);the WTOPI Research Consortium of Modeling and Imaging Laboratory,University of California Santa Cruz,US。
In the contrast source inversion(CSI)method,the contrast sources(equiva-lent scattering sources)and the contrast(parameter perturbation)are iteratively recon-structed by an alternating optimization scheme.Traditionall...
关键词：Contrast source inversion full waveform inversion frequency domain inversion integral equation CSI 
Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies
《Communications in Computational Physics》2019年第6期265-310,共46页Carlos Perez-Arancibia Stephen P.Shipman Catalin Turc Stephanos Venakides 
We develop a non-overlapping domain decomposition method(DDM)for scalar wave scattering by periodic layered media.Our approach relies on robust boun-dary-integral equation formulations of Robin-to-Robin(RtR)maps throu...
关键词：Helmholtz transmission problem domain decomposition periodic layered media lattice sum 
An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions
《Communications in Computational Physics》2014年第5期1431-1460,共30页D.Levadoux F.Millot S.Pernet 
This paper concerns the electromagnetic scattering by arbitrary shaped three dimensional imperfectly conducting objects modeled with non-constant Leontovitch impedance boundary condition.It has two objectives.Firstly,...
关键词：Integral equation boundary element method impedance boundary equation PRECONDITIONER GMRES fast multipole method. 
Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation
《Communications in Computational Physics》2012年第2期383-399,共17页Q.Chen P.Monk X.Wang D.Weile 
funding this research under grant number DMS-0811104.
We show how to apply convolution quadrature(CQ)to approximate the time domain electric field integral equation(EFIE)for electromagnetic scattering.By a suitable choice of CQ,we prove that the method is unconditionally...
关键词：Electromagnetism SCATTERING TIME-DOMAIN integral equation EFIE convolution quadrature multistep method 
Accuracy Enhancement Using Spectral Postprocessing for Differential Equations and Integral Equations被引量：1
《Communications in Computational Physics》2009年第2期779-792,共14页Tao Tang Xiang Xu 
The research of the first author was supported by Hong Kong Baptist University,the Research Grants Council of Hong Kong.
It is demonstrated that spectral methods can be used to improve the accuracy of numerical solutions obtained by some lower order methods.More precisely,we can use spectral methods to postprocess numerical solutions of...
关键词：POSTPROCESSING spectral methods rate of convergence Hamiltonian system integral equations 
On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings
《Communications in Computational Physics》2006年第6期1010-1042,共33页Tilo Arens Simon N.Chandler-Wilde John A.DeSanto 
In this paper we consider the scattering of a plane acoustic or electromagnetic wave by a one-dimensional,periodic rough surface.We restrict the discussion to the case when the boundary is sound soft in the acoustic c...
关键词：Helmholtz equation first kind integral equation spectral method condition number 
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