Numerical Methods for Maxwell Equations (original) (raw)

An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell’s equations

Frédéric Hecht

Computers & Mathematics with Applications

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A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations

Rodolfo Rodriguez

Siam Journal on Numerical Analysis, 2002

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REGULARIZED MAXWELL EQUATIONS AND NODAL FINITE ELEMENTS FOR ELECTROMAGNETIC FIELD COMPUTATIONS IN FREQUENCY DOMAIN

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2011

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A Brief History of Finite Element Method and Its Applications to Computational Electromagnetics

Stefano Selleri

The Applied Computational Electromagnetics Society Journal (ACES)

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Explicit implementation strategy of high order edge finite elements and Schwarz preconditioning for the time-harmonic Maxwell's equations

Frédéric Hecht

2017

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Application of finite elements in engineering as a solution to PDEs in electromagnetism

Fernando Mesa

Contemporary Engineering Sciences

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Regularized Maxwell Equations and Nodal Finite Elements for Electromagnetic Field Computations

Ruben Otin

Electromagnetics, 2010

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Finite‐difference solution of the three‐dimensional electromagnetic problem using divergence‐free preconditioners

Leonid Knizhnerman

SEG Technical Program Expanded Abstracts 2006, 2006

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Electromagnetic Analysis Using High-Order Numerical Schemes in Space and Time

Tobias Gleim

Archives of Computational Methods in Engineering, 2018

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Foundations of Finite Element Methods for Wave Equations of Maxwell Type

Snorre Christiansen

Applied Wave Mathematics, 2009

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Numerical Approximation of the Maxwell Equations in Inhomogeneous Media by aP1Conforming Finite Element Method

Franck Assous

Journal of Computational Physics, 1996

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A finite element computation procedure for electromagnetic fields under different supply conditions

M. Chiampi

IEEE Transactions on Magnetics, 1985

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Computer Algebra Meets Finite Elements: An Efficient Implementation for Maxwell’s Equations

Christoph Koutschan

Texts & Monographs in Symbolic Computation, 2011

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COMPUTATIONAL PERFORMANCE OF A WEIGHTED REGULARIZED MAXWELL EQUATION FINITE ELEMENT FORMULATION

Ruben Otin

Progress In Electromagnetics Research, 2013

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Overlapping Schwarz Preconditioning for High Order Edge Finite Elements: Application to the Time-Harmonic Maxwell's Equations

Frédéric Hecht

2016

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A quasi-analytical boundary condition for three-dimensional finite difference electromagnetic modeling

Michael Zhdanov

Radio Science, 2004

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Comparison between 3D, 2D finite element methods and analytical calculations for electromagnetic problems

Gérard Meunier

IEEE Transactions on Magnetics, 1988

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A 3D finite element method for the modelling of bounded and unbounded electromagnetic problems in the time domain

Walter Carpes Jr

International Journal of Numerical Modelling Electronic Networks Devices and Fields

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On the numerical solutions of two dimensional Maxwell's equations

Nasser Sweilam

2010

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Error Analysis of a Finite Element--Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System

George Hsiao

SIAM Journal on Numerical Analysis, 2002

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Calculation of Magnetic Fields with Finite Elements

Markus Clemens

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Numerical Analysis of the Exterior Boundary Value Problem for the Time- Harmonic Maxwell Equations by a Boundary Finite Element Method Part 1: The Continuous Problem

A. Bendali

Mathematics of Computation, 1984

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Least-squares methods for computational electromagnetics

Tzanio Kolev

2004

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Solution of Maxwell's equations

Frank Krawczyk

Computer Physics Communications, 1992

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Survey of numerical electromagnetic modeling techniques

Todd Hubing

1991

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Schwarz Preconditioning for High Order Edge Element Discretizations of the Time-Harmonic Maxwell’s Equations

Richard Pasquetti

Springer eBooks, 2017

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An explicit P1 finite element scheme for Maxwell's equations with constant permittivity in a boundary neighborhood

Vitoriano Ruas

arXiv: Numerical Analysis, 2018

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