Theoretical tools to solve the axisymmetric Maxwell equations
From MaRDI portal
Publication:4328923
DOI10.1002/mma.279zbMath0995.35070OpenAlexW2075126068MaRDI QIDQ4328923
Franck Assous, Patrick~jun. Ciarlet, Simon Labrunie
Publication date: 17 October 2002
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.279
electromagnetic fieldsingular partregular partreentrant edgesconical verticesaxisymmetric Maxwell equationssingularities of Laplace-like operators
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Theoretical approximation in context of PDEs (35A35) Electromagnetic theory (general) (78A25) Electro- and magnetostatics (78A30)
Related Items
The Fourier singular complement method for the Poisson problem. II: Axisymmetric domains ⋮ Multigrid in a weighted space arising from axisymmetric electromagnetics ⋮ MULTISCALED ASYMPTOTIC EXPANSIONS FOR THE ELECTRIC POTENTIAL: SURFACE CHARGE DENSITIES AND ELECTRIC FIELDS AT ROUNDED CORNERS ⋮ Low-order Raviart-Thomas approximations of axisymmetric Darcy flow ⋮ Numerical study of signal propagation in corrugated coaxial cables ⋮ Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations ⋮ Artificial boundary conditions for axisymmetric eddy current probe problems ⋮ Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains ⋮ A NUMERICAL METHOD FOR 3D TIME-DEPENDENT MAXWELL’S EQUATIONS IN AXISYMMETRIC SINGULAR DOMAINS WITH ARBITRARY DATA ⋮ Finite element analysis for the axisymmetric Laplace operator on polygonal domains ⋮ Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method. ⋮ Axi symmetric 2D simulation and numerical heat transfer characteristics for the calibration furnace in a rectangular enclosure ⋮ Numerical solution to the 3D static Maxwell equations in axisymmetric singular domains with arbitrary data ⋮ Approximation of coupled Stokes-Darcy flow in an axisymmetric domain ⋮ IsoGeometric approximations for electromagnetic problems in axisymmetric domains ⋮ The macroelement analysis for axisymmetric Stokes equations ⋮ Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters ⋮ Regularity and multigrid analysis for Laplace-type axisymmetric equations ⋮ Approximation of the axisymmetric elasticity equations ⋮ \(P_1\) finite element methods for a weighted elliptic state-constrained optimal control problem ⋮ A mixed method for axisymmetric div-curl systems ⋮ Commuting smoothed projectors in weighted norms with an application to axisymmetric Maxwell equations ⋮ Numerical simulations of fluid pressure in the human eye ⋮ Near-field linear sampling method for axisymmetric eddy current tomography ⋮ A self-adaptive goal-oriented \(hp\)-finite element method with electromagnetic applications. II: Electrodynamics ⋮ The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations ⋮ Stabilized mixed approximation of axisymmetric Brinkman flows ⋮ SOLVING NUMERICALLY THE STATIC MAXWELL EQUATIONS IN AN AXISYMMETRIC SINGULAR GEOMETRY
Cites Work
