A new universal numerical technique for the solution of boundary integral equations

Author

Mayergiyz, I.D.

Author_Institution

Dept. of Electr. & Comput. Eng., Maryland Univ., College Park, MD

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

425

Lastpage

428

Abstract

A new numerical technique for the solution of boundary integral equations is presented, This technique leads to uniquely solvable discretized equations of any mesh and its convergence and rate of convergence do not depend on singularities of kernels of integral equations or boundary geometries, In this sense, this technique is universal. The unique solvability of discretized equations, convergence, and the rate of convergence of the numerical technique are established under only one natural condition of unique solvability of boundary integral equations for any right-hand side

Keywords

boundary integral equations; convergence of numerical methods; electromagnetic fields; mesh generation; EM field analysis; boundary integral equations; mesh; rate of convergence; solvability; uniquely solvable discretized equations; universal numerical technique; Convergence of numerical methods; Electromagnetic analysis; Electromagnetic fields; Geometry; Integral equations; Kernel; Power engineering and energy; Robustness; Symmetric matrices; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996113

Filename

996113