Quelques méthodes numériques pour résoudre des équations en électromagnétisme

Tapan K. Sarkar; Ercument Arvas

doi:10.1007/BF03003641

Quelques méthodes numériques pour résoudre des équations en électromagnétisme

Translated title of the contribution: A survey of various numerical techniques to solve operator equations in electromagnetics

Tapan K. Sarkar, Ercument Arvas

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The objective of this paper is to survey many of the popular methods utilized in solving numerical problems arising in electromagnetics. Historically, the matrix methods have been quite popular. One of the primary objectives of this paper is to introduce a new class of iterative methods, which have advantages over the classical matrix methods in the sense that a given problem may be solved to a prespecified degree of accuracy. Also, these iterative methods (particularly conjugate gradient methods) converge to the solution in a finite number of steps irrespective of the initial starting guess. Numerical examples have been presented to illustrate the principles.

Translated title of the contribution	A survey of various numerical techniques to solve operator equations in electromagnetics
Original language	French
Pages (from-to)	331-340
Number of pages	10
Journal	Annales Des Télécommunications
Volume	40
Issue number	7-8
DOIs	https://doi.org/10.1007/BF03003641
State	Published - Jul 1985
Externally published	Yes

Keywords

Conjugate gradient method
Digital method
Eigenfunction
Electromagnetism
Equation resolution
Integrodifferential equation
Iteration
Matrix method
Moment method
Well posed problem

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1007/BF03003641

Cite this

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title = "Quelques m{\'e}thodes num{\'e}riques pour r{\'e}soudre des {\'e}quations en {\'e}lectromagn{\'e}tisme",

abstract = "The objective of this paper is to survey many of the popular methods utilized in solving numerical problems arising in electromagnetics. Historically, the matrix methods have been quite popular. One of the primary objectives of this paper is to introduce a new class of iterative methods, which have advantages over the classical matrix methods in the sense that a given problem may be solved to a prespecified degree of accuracy. Also, these iterative methods (particularly conjugate gradient methods) converge to the solution in a finite number of steps irrespective of the initial starting guess. Numerical examples have been presented to illustrate the principles.",

keywords = "Conjugate gradient method, Digital method, Eigenfunction, Electromagnetism, Equation resolution, Integrodifferential equation, Iteration, Matrix method, Moment method, Well posed problem",

author = "Sarkar, {Tapan K.} and Ercument Arvas",

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AU - Arvas, Ercument

PY - 1985/7

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N2 - The objective of this paper is to survey many of the popular methods utilized in solving numerical problems arising in electromagnetics. Historically, the matrix methods have been quite popular. One of the primary objectives of this paper is to introduce a new class of iterative methods, which have advantages over the classical matrix methods in the sense that a given problem may be solved to a prespecified degree of accuracy. Also, these iterative methods (particularly conjugate gradient methods) converge to the solution in a finite number of steps irrespective of the initial starting guess. Numerical examples have been presented to illustrate the principles.

AB - The objective of this paper is to survey many of the popular methods utilized in solving numerical problems arising in electromagnetics. Historically, the matrix methods have been quite popular. One of the primary objectives of this paper is to introduce a new class of iterative methods, which have advantages over the classical matrix methods in the sense that a given problem may be solved to a prespecified degree of accuracy. Also, these iterative methods (particularly conjugate gradient methods) converge to the solution in a finite number of steps irrespective of the initial starting guess. Numerical examples have been presented to illustrate the principles.

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KW - Digital method

KW - Eigenfunction

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KW - Equation resolution

KW - Integrodifferential equation

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KW - Moment method

KW - Well posed problem

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Quelques méthodes numériques pour résoudre des équations en électromagnétisme

Abstract

Keywords

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