[PDF] Top 20 Numerical Simulation of Maxwell's Equations

... where an isotropic, linear, lossless media has been assumed. Similar expressions can be derived for the y and z-projections of Ampère’s law. The discrete form of Faraday’s and Ampère’s laws lead to a total of six ... See full document

... direct numerical solution of the Maxwell’s equations in the time-domain, for the classical electromagnetic analysis of complex plasmonic and photonic struc- tures interacting with ...the numerical ... See full document

... The above masses and radii were deliberately chosen to be numerically equal to those of the Sun, 78 Virginis and the Earth. These correspond to the three astronomical objects that are quoted in the literature by later ... See full document

... wave equations, and in the case of the M-D equations, published a family of exact light speed plane wave solutions of the M-D equations where m 6 = 0 but where the length of the current vector was ... See full document

... the numerical simulation of viscous incompressible flow in the complex geometrical ...Navier-Stokes equations for viscous incompressible fluid are selected for the numerical ...of ... See full document

... This concept was introduced by Lenoir and Jami in hydrodynamics in 1978 [26], then in 1996 by Lenoir and Hazard for the Maxwell’s equations by using nodal finite elements [19]. Liu and Jin presented very ... See full document

... The equations of mixer with appropriate boundary conditions were solved using COMSOL Multiphysics version ...for numerical solution of the ...using numerical solver of ... See full document

... a numerical method be almost surely exponentially stable for all sufficiently small step sizes? Should we have some answers to (Q1) and (Q2) in the case where stochastic stability means almost sure exponential ... See full document

... and Maxwell equations. The relegation of the Maxwell field to an “external” potential resulted in both the localization of the Dirac field and boundedness of the charge density being ...the ... See full document

... time-harmonic Maxwell equations, once the problem is discretized with a DG method, finding robust solvers is a difficult task since one has to deal with indefinite ...Maxwell’s equations in [6], ... See full document

... laws. Numerical simulations then explore the extent to which the hyperbolic theory, augmented with this small amount of information from the fourth order PDE, actually predicts the behavior of solutions of the ... See full document

... the simulation as a testing ...testing simulation yields information important for the research in this thesis, including: the dynamics of the swelling process of hydrogels can be successfully described on ... See full document

... governing equations (1) to (2) are non linear coupled partial differential ...These equations are discretised using a finite volume method on a, structured and collocated ...Navier-Stokes equations ... See full document

... this simulation tool will be useful towards the study of: RTD-enhanced sensor devices [27]; RTD-based integrated data-processing logic circuits [28]; and Hybrid-RTD optical telecommunications technology ... See full document

... A widely used numerical method is the finite difference method with the Yee scheme [24]. It is very popular due to the intuitivity of the discretization of the differential operators. One can either first compute ... See full document

... the numerical simulation of random processes, the numerical solution of differential equations, describing the motion of the considered system, and on the calculation of the top Liapunov ... See full document

... differential equations (SDEs) play a significant role in many departments of science and industry because of their application for modeling stochas- tic phenomena, ...these equations, so we are required to ... See full document

... the numerical solver of Carrillo and Moll [26], which uses the vari- ational formulation and an explicit in time as well as a finite difference discretization in ...the numerical scheme would be convergent ... See full document

... and Maxwell tensors in electric and magnetic parts ...the equations to describe the gravitational field as a Maxwell-like type of ...electrodynamics equations appeared long time ago when ... See full document

... computer simulation of the magnetic field generated by conventional unshielded gradient ...and Maxwell coil have been modeled and their generated magnetic field and gradient were simulated and mapped ... See full document