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Finite Element Methods for Maxwell's Equations by Peter Monk

Finite Element Methods for Maxwell's Equations Peter Monk ebook
Page: 465
ISBN: 0198508883, 9780198508885
Publisher: Oxford University Press, USA
Format: djvu

COMSOL Multiphysics (formerly FEMLAB) is a finite element analysis, solver and Simulation software package for various physics and engineering applications, especially coupled phenomena, or multiphysics. He offers an outlook on fundamental issues in physics including quantum mechanics. The author presents how to apply numerical methods like finite differences , finite elements, boundary elements, image charge methods, and Monte-Carlo methods to field theory problems. Maxwell's equations are presented and explained. Basically, magnetic fields will be ignored and Maxwell's Equations are simplified. I) Discretisation of the solution region into elements. I'm assuming its going to depend on the voltage and the conductivity of the medium, but what equations would I need to solve to be able to map out this field. It follows a detailed discussion of electrostatics, flux, magnetostatics, quasi stationary fields and electromagnetic fields. The Basic governing equation are the well known Maxwells equation which gives the magnetic field in terms of a Magentic Diffusion equation given as: dB/dt = 1/(sigma*mu)*(del^2(B)) --------------- (1) . 23 Chen Z M, Wang L, Zheng W Y. Comput Method Appl M, 2006, 195(4-6):207-213. Ii) Generation of equations for fields at each element. Much as possible based on the details and then the simplified equations need to be expressed in a discrete mathematical form according to an established numerical method such as finite element methods, finite difference etc. A 3D finite-element algorithm for DC resistivity modeling using the shifted incomplete Cholesky conjugate gradient method: Geophys Journal Int, 2003, 154(4):947-956 12 Ren Z Y, Tang J T. Complex 3D DC resistivity modeling by unstructured adaptivity in finite-element computations. Maxwell's Equations grad, curl, div. Iv) Solution of the resulting system. An adaptive Multigrid method for time-harmonic Maxwell equations with singularities. FEM is a numerical method to solve the partial differential equations (PDE) that expresses the physical quantities of interest, in this case Maxwell's equations. The equations of electrodynamics, the finite element method (Finite Element Method, FEM), which includes adaptive generation and division of cells.