Three dimensional eddy currents using a four component finite element formulation

Salon, S.J.; Peng, Jian

doi:10.1109/tmag.1984.1063312

Cited by 21 publications

(3 citation statements)

References 4 publications

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“…Therefore, the final equation for each one of the elements that compose the current matrix can be expressed by: [21,22]. Fig.…”

Section: Eddy Current Problemmentioning

confidence: 99%

Mathematical Modeling for Determination the Surface Charge Density and Eddy Current Problem Using the Haar Wavelet

Belardi¹,

Neto²

2015

JEE

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This paper presents the mathematical basis, and some results, concerning the application of the Haar Wavelets as the expansion function in the Method of Moments. As an example, the surface charge density on a finite, thin plane plate, and the Eddy current problem, in which the main computational performance aspects are evaluated. Some computational optimization techniques are used, and their main aspects are stressed in the paper.

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“…Therefore, the final equation for each one of the elements that compose the current matrix can be expressed by: [21,22]. Fig.…”

Section: Eddy Current Problemmentioning

confidence: 99%

Mathematical Modeling for Determination the Surface Charge Density and Eddy Current Problem Using the Haar Wavelet

Belardi¹,

Neto²

2015

JEE

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“…The solution of the previous equation can be obtained by using the expression [a mn ]*[Coef]=[U 0 ], we refer Bossavit [5] and Salon and Peng [41] for more details in this connection.…”

Section: Case Iii: Eddy Current Problemmentioning

confidence: 99%

Application of Haar Wavelets and Method of Moments for Computing Performance Characteristics of Electromagnetic Materials

Maurya¹,

Maurya²

2014

AJAMS

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Present paper demonstrates on application aspect of Haar wavelets and method of moments for computing performance characteristics in electromagnetic field. In this paper, some significant results including performance characteristics relevant to application of the Haar wavelets as the expansion function in the method of moments have been successfully explored. The present analysis for performance evaluation has been focused for three different electromagnetic materials-finite straight, thin plane plate and eddy current problem. The main results explored are described in the main text and also concluded at the end with discussions.

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“…Numerous papers have been published since then. The names of researchers in this area should be supplemented by Bossavit and Verite [12], Salon and Peng [13], Preston and Reece [14], Rodger, Leonard,…”

Section: Eddy Current Testingmentioning

confidence: 99%

Edge based finite element simulation of eddy current phenomenon and its application to defect characterization

Li¹

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CHAPTER 1 INTRODUCTION 1 1.1 NDT/NDE Techniques 1 1.2 Eddy Current Testing 2 1.3 Forward and Inverse Problems 7 1.4 Objectives of This Research 11 1.5 Literature Review 13 1.6 Scope of the Dissertation 15 CHAPTER 2 BASIC ELECTROMAGNETICS FOR EDDY CURRENT COMPUTATION 2.1 Introduction 2.2 Maxwell's Equations 2.3 Constitutive Relations 2.4 Boundary Conditions 2.5 Time-Harmonic Fields 2.6 Quasistatic Approximation 2.7 Potential Functions 2.8 Eddy Current Formulations CHAPTER 3 BASICS ON FINITE ELEMENT METHODS 3.1 Introduction 3.2 Finite Elements and Basis Functions 3.3 The Weak Form and Galerkin's Approach 3.4 The Linear Solver 3.5 General Procedures for Finite Element Method CHAPTER 4 NUMERICAL SIMULATION OF EDDY CURRENT PROBLEMS USING EDGE BASED FINITE ELEMENTS 4.1 Introduction 4.2 Edge Based Finite Elements 4.3 Magnetic Vector Potential Formulation for Eddy Current Problems 4.4 The Gauge Condition for Edge Elements 4.5 The Edge Element Model Verification 4.6 Conclusions and Discussions iv

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Three dimensional eddy currents using a four component finite element formulation

Cited by 21 publications

References 4 publications

Mathematical Modeling for Determination the Surface Charge Density and Eddy Current Problem Using the Haar Wavelet

Mathematical Modeling for Determination the Surface Charge Density and Eddy Current Problem Using the Haar Wavelet

Application of Haar Wavelets and Method of Moments for Computing Performance Characteristics of Electromagnetic Materials

Edge based finite element simulation of eddy current phenomenon and its application to defect characterization

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