Results 291 to 300 of about 4,481,393 (334)

EXACT SOLUTION OF THE PERCUS-YEVICK INTEGRAL EQUATION FOR HARD SPHERES

, 1963
ABS>The equation of state and the pair distribution for the Percus- Yevick integral equation for the radiai distribution function of a classical fluid are obtained in closed form for the prototype of interacting hard spheres. (D.C.W.)
M. Wertheim
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Analysis of Volume Integral Equation Formulations for Scattering by High-Contrast Penetrable Objects

IEEE Transactions on Antennas and Propagation, 2012
The volume integral equation method is applied in electromagnetic scattering from arbitrarily shaped three-dimensional inhomogeneous objects. The properties of the volume electric and magnetic field integral equations (VEFIE and VMFIE) are investigated ...
J. Markkanen, Caicheng Lu, Xiande Cao, P. Yla-Oijala   +3 more
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Strongly Elliptic Systems and Boundary Integral Equations

, 2000
Introduction 1. Abstract linear equations 2. Sobolev spaces 3. Strongly elliptic systems 4. Homogeneous distributions 5. Surface potentials 6. Boundary integral equations 7. The Laplace equation 8. The Helmholtz equation 9.
W. McLean
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Integral Equation Methods for Electromagnetics

, 2012
This text/reference is a detailed look at the development and use of integral equation methods for electromagnetic analysis, specifically for antennas and radar scattering.
J. Volakis, K. Sertel
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A Calderón Multiplicative Preconditioner for the PMCHWT Integral Equation

IEEE Transactions on Antennas and Propagation, 2011
Electromagnetic scattering by penetrable bodies often is modelled by the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) integral equation. Unfortunately the spectrum of the operator involved in this equation is bounded neither from above or below.
K. Cools, F. Andriulli, E. Michielssen
semanticscholar   +1 more source

Classification of solutions for an integral equation

, 2006
Let n be a positive integer and let 0 < α < n. Consider the integral equation $$(0.1) \;\;\;\;\;\;\;\;\;\;\;\;\;\;\; u(x) = \int\limits^{}_{R^{n}} {1 \over |x -y|^{n-\alpha}}u(y)^{{n+\alpha} \over {n-\alpha}} dy.$$ We prove that every positive regular ...
Wenxiong Chen, Congming Li, B. Ou
semanticscholar   +1 more source

Fast Full-Wave Surface Integral Equation Solver for Multiscale Structure Modeling

IEEE Transactions on Antennas and Propagation, 2009
We describe a full-wave solver to model large-scale and complex multiscale structures. It uses the augmented electric field integral equation (A-EFIE), which includes both the charge and the current as unknowns to avoid the imbalance between the vector ...
Z. Qian, W. Chew
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Emission of rough surfaces calculated by the integral equation method with comparison to three-dimensional moment method simulations

IEEE Transactions on Geoscience and Remote Sensing, 2003
This paper presents a model of microwave emissions from rough surfaces. We derive a more complete expression of the single-scattering terms in the integral equation method (IEM) surface scattering model.
Kun Shan Chen, Tzong-Dar Wu, L. Tsang, Qin Li, Jiancheng Shi, A. Fung   +5 more
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Comparison of Integral-Equation Formulations for the Fast and Accurate Solution of Scattering Problems Involving Dielectric Objects with the Multilevel Fast Multipole Algorithm

IEEE Transactions on Antennas and Propagation, 2009
We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations.
O. Ergul, L. Gurel
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Multilayered media Green's functions in integral equation formulations

, 1997
A compact representation is given of the electric- and magnetic-type dyadic Green's functions for plane-stratified, multilayered, uniaxial media based on the transmission-line network analog along the aids normal to the stratification. Furthermore, mixed-
K. Michalski, J. Mosig
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