On the solution of Maxwell's equations in axisymmetric domains with edges (original) (raw)

Optimal convergence recovery for the Fourier-finite-element approximation of Maxwell's equations in nonsmooth axisymmetric domains

Boniface Nkemzi

Applied Numerical Mathematics, 2007

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Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method

Simon Labrunie

Differential Equations & Applications, 2011

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On singularities of solution of Maxwell's equations in axisymmetric domains with conical points

Boniface Nkemzi

Mathematical Methods in the Applied Sciences, 2007

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Solution of Maxwell equation in axisymmetric geometry by Fourier series decompostion and by use of H (rot) conforming finite element

Patrick Lacoste

Numerische Mathematik, 2000

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Solution of axisymmetric Maxwell equations

Simon Labrunie

Mathematical Methods in the Applied Sciences, 2003

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Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data

Franck Assous

Computational Methods in Applied Mathematics

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Numerical Solution to the Time-Dependent Maxwell Equations in Two-Dimensional Singular Domains: The Singular Complement Method

J. Segré, Simon Labrunie

Journal of Computational Physics, 2000

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On the Asymptotic of Solutions of Elliptic Boundary Value Problems in Domains with Edges

Boniface Nkemzi

2005

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Solving Numerically the Static Maxwell Equations in an Axisymmetric Singular Geometry

Franck Assous

Mathematical Modelling and Analysis, 2015

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The Fourier Finite-element Approximation of the Lamé Equations in Axisymmetric Domains with Edges

Boniface Nkemzi

Computing, 2006

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Well Posedness and Finite Element Approximability of Three-Dimensional Time-Harmonic Electromagnetic Problems Involving Rotating Axisymmetric Objects

Mirco Raffetto

Symmetry, 2020

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On the Coefficients of the Singularities of the Solution of Maxwell’s Equations near Polyhedral Edges

Boniface Nkemzi

Mathematical Problems in Engineering, 2016

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Theoretical tools to solve the axisymmetric Maxwell equations

Simon Labrunie

Mathematical Methods in the Applied Sciences, 2002

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Corner Singularities of Maxwell Interface and Eddy Current Problems

Serge Nicaise

Operator Theoretical Methods and Applications to Mathematical Physics, 2004

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Boundary element methods for Maxwell's equations on non-smooth domains

Martin Costabel

Numerische Mathematik, 2002

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The time-harmonic Maxwell equations with impedance boundary conditions in convex polyhedral domains

Serge Nicaise

HAL (Le Centre pour la Communication Scientifique Directe), 2018

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A Predictor-Corrector Finite Element Method for Time-Harmonic Maxwell's Equations in Polygonal Domains

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A Predictor-Corrector Finite Element Method for Time-Harmonic Maxwell's Equations in Polygonal Domains, 2020

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Singularities of eddy current problems

Serge Nicaise

ESAIM: Mathematical Modelling and Numerical Analysis, 2003

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Solving Maxwell’s equations in singular domains with a Nitsche type method

Franck Assous

Journal of Computational Physics, 2011

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Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems

Hülya Şahintürk

Communications in Partial Differential Equations, 1999

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Finite elements/ boundary elements for electromagnetic interface problems, especially the skin effect

Jorge Ospino Portillo

2019

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A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction

Jan S Hesthaven

Lecture Notes in Computational Science and Engineering, 2010

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Singularities of Maxwell interface problems

Serge Nicaise

ESAIM: Mathematical Modelling and Numerical Analysis, 1999

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Elliptic Interface Problems in Axisymmetric Domains. Part I: Singular Functions of Non - Tensorial Type

Serge Nicaise

Mathematische Nachrichten - MATH NACHR, 2009

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Asymptotic expansion of the solution of Maxwell's equations in polygonal plane domains

Boniface Nkemzi

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Exponential Convergence of hp-FEM for Maxwell's Equations with Weighted Regularization in Polygonal Domains

Martin Costabel

2000

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Numerical solution of eddy current problems in bounded domains using realistic boundary conditions

Mea Concepcion

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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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Time-dependent Maxwell’s equations with charges in singular geometries

Franck Assous

Computer Methods in Applied Mechanics and Engineering, 2006

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