Modified algorithm of the R-functions method for solving electromagnetics boundary value problems

Author

Basarab, Michael A.

Author_Institution

A.N. Podgornyi Inst. of Problems of Eng. Ind., Acad. of Sci., Kharkov, Ukraine

Volume

2

fYear

2000

fDate

2000

Firstpage

700

Abstract

The Dirichlet problem for 2D second order partial differential equation in an arbitrary domain is considered. To solve this problem, the variational R-functions method (RFM) with the Kantorovich (1962) general structure of solution (GSS) is used. Instead of the traditional RFM scheme, the complicated implicit function of the boundary is substituted here with its approximation by a set of functions with compact supports. It is important that this set is also used in the GSS. This approach allows one to decrease significantly the quantity of numerically calculated integrals expressing the elements of the matrices of systems of linear equations

Keywords

boundary-value problems; electromagnetism; functional equations; partial differential equations; 2D second order partial differential equation; Dirichlet problem; Kantorovich general structure of solution; R-functions method; approximation; compact supports; electromagnetics boundary value problems; linear equations; matrices; modified algorithm; numerically calculated integrals; variational R-functions method; Boundary conditions; Boundary value problems; Eigenvalues and eigenfunctions; Least squares approximation; Least squares methods; Matrices; Moment methods; Partial differential equations; Polynomials; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on

Conference_Location

Kharkov

ISSN

1

Print_ISBN

0-7803-6347-7

Type

conf

DOI

10.1109/MMET.2000.890541

Filename

890541