Title :
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
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2000. MMET 2000. International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6347-7
DOI :
10.1109/MMET.2000.890541
