Maxwell Equations
Schwarz methods for second order Maxwell equations in 3D with coefficient jumps
... of Maxwell equations, we have proved however in [18] that the classical Schwarz method without overlap does not converge in most cases in the presence of coefficient jumps aligned with ...
9
Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... The method that is considered in this report is the discontinuous Galerkin finite ele- ment method, which is similar to the finite element method. The difference is that it uses basis functions that are defined on only ...
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Dispersive properties of high order nedelec/edge element approximation of the time-harmonic Maxwell equations
... The dispersive behaviour of high order N´ed´elec element approxima- tion of the time harmonic Maxwell equations at a prescribed temporal frequency ω on tensor product meshes of size h is analysed. A simple ...
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Optimized schwarz methods for Maxwell equations with discontinuous coefficients
... The time dependent Maxwell equations (1) are a system of hyperbolic partial dif- ferential equations, see for example [7]. This hyperbolic system has for any interface two incoming and two outgoing ...
8
Field line solutions of the Maxwell equations using the 3+1 formalism for general relativity
... the Maxwell equations will easily recognize the form of these equations where the first two, ...evolution equations, where the lat- ter two, ...constraint equations when we take the ...
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Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations
... Such a system, also known as the nonlinear Schrödinger-Poisson system, arises in an interesting physical context. Indeed, according to a classical model, the interaction of a charge particle with an electromagnetic field ...
22
Mean Field Formulation of Maxwell Equations to Model Electrically Inhomogeneous and Isotropic Media
... of Maxwell equations, by per- forming spatial averages over some reference ...of Maxwell equations, and delineate the differences with the Maxwell theory in a homogeneous ...
7
DUFFIN KEMMER PETIAU EQUATION, PROCA EQUATION AND MAXWELL EQUATIONS IN 1+1 D CURVED SPACETIME
... of Maxwell equation: One of them corresponds to Maxwell equations and the other set corresponds to the dual of ...the Maxwell equations In the Proca equation |F | 2 + m 2 |A| ...
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Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations
... In this system the Vlasov equation governs the motion of the particles and the interaction of the particles are described by the Maxwell equations. So, the aim of this work is to derive a sufficient ...
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Scaling limits of non isentropic Euler Maxwell equations for plasmas
... Let n, u, and θ denote the scaled macroscopic density, mean velocity vector, and tem- perature of the electrons and E and B the scaled electric field and magnetic field, respectively. They are functions of a ...
7
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
... and Maxwell equations is a largely open problem; the reason for this is that, as described above, conventional piece-wise polynomial coarse spaces require H ∼ k −2 for quasi-optimality of the coarse-space ...
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Numerical Solution of the Three Dimensional Time Harmonic Maxwell Equations by DG Method Coupled with an Integral Representation
... of equations known as the Maxwell ...the Maxwell equations to be treated, a first mode that is known by the time domain Maxwell equations in which the evolution of ...
11
Anomalous Maxwell equations for inhomogeneous chiral plasma
... Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral chemical potentials that close the ...
16
A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods
... time-harmonic Maxwell equations using high order methods such as discontinuous Galerkin formulations require efficient ...the Maxwell system and leads to the best possible convergence of these ...
5
Unsteady Collisionless Gaseous Plasma Flow in the Upper Layers of the Charged Atmosphere and The Investigation of Vlasov-Maxwell Equations System.
... In the upper charged layers of the atmosphere, the plasma is very rarefied. The collisions between its molecules are almost non-existent, and the driving forces behind them are the Lorentz forces resulting from the ...
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Frequency Dispersion of Dielectric Permittivity and Electric Conductivity of Rocks via Two-Scale Homogenization of the Maxwell Equations
... We developed a mixing law theory for effective dielectric permittivity and effective electric conductivity by two-scale homogenization of the Maxwell equations. We have proved that the homogenized ...
28
On Maxwell Equations for Gravitational Field
... Thus, one may say in summary that if the Gauss’ theorem is valid for the gravitational field R , and the continuity equation is satisfied for ρ and J , then, there must exist a gravitational vector field W such that W ...
16
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
... and Maxwell equations. While the transport equations modeled the transport of gaseous species and the Maxwell equation the influence of the underlying flow ...
13
Maxwell Equations with Accounting of Tensor Properties of Time
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13
The Global Attractors of the Solution for 2D Maxwell Navier Stokes with Extra Force Equations
... the Maxwell-Navier-Stokes equations have been studied extensively, and the studies have obtained many achievements [1] ...The Maxwell-Navier-Stokes equations are a coupled system of ...
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