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Finite Element Methods for Maxwell's Equations by Peter Monk

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

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. 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. Maxwell's equations are presented and explained. 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. It follows a detailed discussion of electrostatics, flux, magnetostatics, quasi stationary fields and electromagnetic fields. He offers an outlook on fundamental issues in physics including quantum mechanics. Basically, magnetic fields will be ignored and Maxwell's Equations are simplified. Implementation should be carried out in the open source FEniCS (fenicsproject.org) software framework for automated solution of partial differential equations based on the finite element method. This is to certify that the following students of the college have carried the project entitled “COUPLED FIELD FINITE ELEMENT ANALYSIS OF DISC TYPE INSULATOR ASSEMBLY” Under the guidance in the Department of Mechanical Engineering during academic year 2010-2011. This work has been done in partial fulfillment of The method is based on a quasi-static approximation which permits the decoupling of Maxwell's equations. But Maxwell's Equations of course allow us to work with a source and field picture and so we do have the option of dipping into that part of the toolkit when needed (like we do with a moment method or finite element method).