Results 281 to 290 of about 4,481,393 (334)

A New Integral Equation Method to Solve Highly Nonlinear Inverse Scattering Problems

IEEE Transactions on Antennas and Propagation, 2016
A family of new integral equations (NIE) is proposed in this paper, which are transformed from the original Lippmann-Schwinger integral equation. It can be shown that the NIE can effectively reduce the nonlinearity of inverse scattering problems by ...
Y. Zhong, M. Lambert, D. Lesselier, Xudong Chen   +3 more
semanticscholar   +1 more source

Modified Adomian Decomposition Method for Solving Fuzzy Volterra-Fredholm Integral Equation

, 2018
In this paper, a modied Adomian decomposition method has been applied to approximate the solution of the fuzzy Volterra-Fredholm integral equations of the first and second Kind.
Ahmed A. Hamoud, K. Ghadle
semanticscholar   +1 more source

Integral equation methods in scattering theory

, 1983
Preface to the Classics Edition Preface Symbols 1. The Riesz-Fredholm theory for compact operators 2. Regularity properties of surface potentials 3. Boundary-value problems for the scalar Helmholtz equation 4.
D. Colton, R. Kress
semanticscholar   +1 more source

A Discontinuous Galerkin Surface Integral Equation Method for Electromagnetic Wave Scattering From Nonpenetrable Targets

IEEE Transactions on Antennas and Propagation, 2013
We present a discontinuous Galerkin surface integral equation method, herein referred to as IEDG, for time harmonic electromagnetic wave scattering from nonpenetrable targets.
Z. Peng, Kheng-Hwee Lim, Jin-Fa Lee
semanticscholar   +1 more source

A boundary integral equation method for the transmission eigenvalue problem

, 2017
We propose a new integral equation formulation to characterize and compute transmission eigenvalues for constant refractive index that play an important role in inverse scattering problems for penetrable media.
F. Cakoni, R. Kress
semanticscholar   +1 more source

Computations of Electromagnetic Wave Scattering From Penetrable Composite Targets Using a Surface Integral Equation Method With Multiple Traces

IEEE Transactions on Antennas and Propagation, 2013
We present a surface integral equation domain decomposition method (SIE-DDM) for time harmonic electromagnetic wave scattering from bounded composite targets.
Z. Peng, Kheng-Hwee Lim, Jin-Fa Lee
semanticscholar   +1 more source

Evaluation of Solvent Effects in Isotropic and Anisotropic Dielectrics and in Ionic Solutions with a Unified Integral Equation Method: Theoretical Bases, Computational Implementation, and Numerical Applications

, 1997
We present the full implementation of the integral equation formalism (IEF) we have recently formulated to treat solvent effects. The method exploits a single common approach for dielectrics of very different nature:  standard isotropic liquids ...
B. Mennucci, and E. Cancès, J. Tomasi
semanticscholar   +1 more source

The application of integral equation methods to the numerical solution of some exterior boundary-value problems

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971
The application of integral equation methods to exterior boundary-value problems for Laplace’s equation and for the Helmholtz (or reduced wave) equation is discussed.
A. J. Burton, G. F. Miller
semanticscholar   +1 more source

Discretization of Volume Integral Equation Formulations for Extremely Anisotropic Materials

IEEE Transactions on Antennas and Propagation, 2012
A stable volume integral equation formulation and its discretization for extremely anisotropic materials is presented. The volume integral equations are written in terms of the volume equivalent currents.
J. Markkanen, P. Yla-Oijala, A. Sihvola
semanticscholar   +1 more source