An accurate and efficient entire-domain basis Galerkin's method for the integral equation analysis of integrated rectangular dielectric waveguides

1995 ◽  
Vol 43 (12) ◽  
pp. 2794-2804 ◽  
Author(s):  
G. Athanasoulias ◽  
N.K. Uzunoglu
Keyword(s):  
Integral Equation ◽  
Dielectric Waveguides ◽  
Galerkin’S Method ◽  
Entire Domain ◽  
Galerkin's Method ◽  
Equation Analysis

scholarly journals Galerkin's method for boundary integral equations on polygonal domains

1984 ◽  
Vol 26 (1) ◽  
pp. 1-13 ◽  
Author(s):  
G. A. Chandler
Keyword(s):  
Integral Equation ◽  
Smooth Boundary ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Galerkin’S Method ◽  
Layer Potential ◽  
Polygonal Domains ◽  
Galerkin's Method ◽  
Piecewise Polynomials ◽  
Convergence And Superconvergence

AbstractA harmonic function in the interior of a polygon is the double layer potential of a distribution satisfying a second kind integral equation. This may be solved numerically by Galerkin's method using piecewise polynomials as basis functions. But the corners produce singularities in the distribution and the kernel of the integral equation; and these reduce the order of convergence. This is offset by grading the mesh, and the orders of convergence and superconvergence are restored to those for a smooth boundary.

Steady-state modelling method for matrix-reactance frequency converter with boost topology

2011 ◽  
Vol 60 (2) ◽  
pp. 137-148
Author(s):  
Igor Korotyeyev ◽  
Beata Zięba
Keyword(s):  
Fourier Series ◽  
Steady State ◽  
Differential Equations ◽  
Numerical Method ◽  
Frequency Converter ◽  
Double Fourier Series ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
Modelling Method ◽  
Three Phase

Steady-state modelling method for matrix-reactance frequency converter with boost topologyThis paper presents a method intended for calculation of steady-state processes in AC/AC three-phase converters that are described by nonstationary periodical differential equations. The method is based on the extension of nonstationary differential equations and the use of Galerkin's method. The results of calculations are presented in the form of a double Fourier series. As an example, a three-phase matrix-reactance frequency converter (MRFC) with boost topology is considered and the results of computation are compared with a numerical method.

Galerkin’s method revisited and corrected in the problem of Jaworski and Dowell

2021 ◽  
Vol 155 ◽  
pp. 107604
Author(s):  
Isaac Elishakoff ◽  
Marco Amato ◽  
Alessandro Marzani
Keyword(s):  
Galerkin’S Method ◽  
Galerkin's Method

scholarly journals Integral Equation Analysis of Plane Wave Scattering by Coplanar Graphene-Strip Gratings in the THz Range

2013 ◽  
Vol 3 (5) ◽  
pp. 666-674 ◽  
Author(s):  
Olga V. Shapoval ◽  
Juan Sebastian Gomez-Diaz ◽  
Julien Perruisseau-Carrier ◽  
Juan R. Mosig ◽  
Alexander I. Nosich
Keyword(s):  
Integral Equation ◽  
Plane Wave ◽  
Wave Scattering ◽  
Equation Analysis ◽  
Thz Range ◽  
Plane Wave Scattering ◽  
Graphene Strip
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