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Journal of Applied Physics, ISSN 0021-8979, 12/2018, Volume 124, Issue 21, p. 213106
We show that the present approaches for the solution of Maxwell’s equations in complex geometries have limitations that can be overcome through the use of C (... 
EDGE-ELEMENTS | MODES | PHYSICS, APPLIED | FINITE-ELEMENT-ANALYSIS
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 1/2020, pp. 1 - 1
In the edge element discretization for magnetostatic problems, a gauge scheme, such as tree-gauge, LM (Lagrangian multiplier)-gauge, and auto-gauge, is usually... 
Magnetostatic problem | edge element method | gauge scheme | magnetic vector potential
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 02/2018, Volume 329, pp. 195 - 218
Superconvergence for the second and third order edge elements is investigated on nonuniform rectangular meshes. First, we develop the explicit expression for... 
Finite element method | Superconvergence | Edge elements | Maxwell’s equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2020, Volume 367, p. 124770
This paper is devoted to multgrid methods for solving the quad-curl eigenvalue problem. The multgrid methods based on the Rayleigh quotient iteration and the... 
Edge element | Multigrid method | Quad-curl eigenvalue problem | MATHEMATICS, APPLIED | FINITE-ELEMENTS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2020, Volume 366, p. 112434
In this paper we investigate one Perfectly Matched Layer (PML) model proposed by Ziolkowski in 1999. Various schemes for solving this PML model have been... 
Finite element method | Perfectly matched layers | Edge element | Metamaterial | Maxwell’s equations
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 03/2013, Volume 255, pp. 121 - 132
In this paper, a simple averaging technique for edge elements is justified to improve the standard convergence rate (hence achieving superconvergence) when... 
Superconvergence | Edge element | Metamaterial | Maxwell’s equations
Journal Article
IEEE Transactions on Magnetics, ISSN 0018-9464, 01/2020, Volume 56, Issue 1, pp. 1 - 4
The proper generalized decomposition (PGD) is an a priori model-order reduction (MOR) method based on a variable-separated expression of the problem. Two... 
edge elements | A posterior error estimate | proper generalized decomposition (PGD) | dual formulation | Engineering Sciences | Electric power | Electromagnetism
Journal Article
IEEE Transactions on Plasma Science, ISSN 0093-3813, 07/2017, Volume 45, Issue 7, pp. 1374 - 1379
In dynamic launching processing of the electromagnetic rail launcher (ERL), the armature is sliding along the rail while the pulse current flows through the... 
Rails | Solid modeling | Electric potential | Contacts | Edge element | electromagnetic rail launcher | penalty method | Conductors | Mathematical model | Eddy currents | sliding electrical contact | tree technique | CONTACT | EDGE ELEMENTS | PHYSICS, FLUIDS & PLASMAS | MOVING CONDUCTOR | SHAPED SOLID ARMATURES | EDDY CURRENTS | Usage | Mathematical models | Research | Eddy currents (Electric) | Voltage
Journal Article
by J. ZHOU and X. HU and L. ZHONG and S. SHU and L. CHEN
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2014, Volume 52, Issue 4, pp. 2027 - 2047
Journal Article
IEEE Transactions on Plasma Science, ISSN 0093-3813, 12/2016, Volume 44, Issue 12, pp. 3417 - 3423
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 04/2015, Volume 287, Issue C, pp. 88 - 109
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2018, Volume 75, Issue 5, pp. 1498 - 1514
In this paper we focus on high order finite element approximations of the electric field combined with suitable preconditioners, to solve the time-harmonic... 
FreeFem | Time-harmonic Maxwell’s equations | Edge elements | High order finite elements | Schwarz preconditioners
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2020, Volume 371, p. 124897
In this paper, we present two recovered curl results of the lowest order rectangular edge element for 2-D time-harmonic Maxwell’s equations. The proposed... 
Edge element | Time-harmonic Maxwell’s equations | Curl recovery | MATHEMATICS, APPLIED | PART I | GRIDS | EQUILIBRIUM | POSTERIORI ERROR ESTIMATOR | SUPERCONVERGENT PATCH RECOVERY | GRADIENT | Time-harmonic Maxwell's equations
Journal Article
by Yao, CH and Jia, SH
APPLIED MATHEMATICS AND COMPUTATION, ISSN 0096-3003, 04/2020, Volume 371
In this paper, we study and analyze a second order numerical scheme for Maxwell's equations with nonlinear conductivity, using the Nedelec Finite Element... 
MATHEMATICS, APPLIED | APPROXIMATION | Nonlinear conductivity | FEMS | SUPERCONVERGENCE ANALYSIS | Nedelec finite element method | Maxwell's equations | FLOW | Linearized stability analysis | EDGE ELEMENTS | Error estimate | ERROR ANALYSIS | CONVERGENCE
Journal Article
International Journal of Numerical Analysis and Modeling, ISSN 1705-5105, 2016, Volume 13, Issue 2, pp. 226 - 239
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 279 - 291
Journal Article
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, ISSN 0377-0427, 03/2020, Volume 366
In this paper we investigate one Perfectly Matched Layer (PML) model proposed by Ziolkowski in 1999. Various schemes for solving this PML model have been... 
Finite element method | MATHEMATICS, APPLIED | ELEMENT-METHOD | Edge element | DISCONTINUOUS GALERKIN METHODS | Maxwell's equations | Perfectly matched layers | Metamaterial | MAXWELLS EQUATIONS | SCATTERING
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 07/2015, Volume 45, pp. 93 - 97
In this work we investigate a fully discrete finite element method for Maxwell’s equations with a power-law nonlinear conductivity and prove an improved error... 
Edge elements | Backward Euler | Nonlinear Maxwell’s equations | Error estimate
Journal Article
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