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Document Type : Latin Dissertation
Language of Document : English
Record Number : 150119
Doc. No : ET21911
Main Entry : Bo He, B.S., M.S., Ph.D.
Title Proper : COMPATIBLE DISCRETIZATIONS FOR MAXWELL EQUATIONS
Note : This document is digital این مدرک بصورت الکترونیکی می باشد
Abstract : The main focus of this dissertation is the study and development of numericaltechniques to solve Maxwell equations on irregular lattices. This is achieved by meansof compatible discretizations that rely on some tools of algebraic topology and adiscrete analog of diض‍erential forms on a lattice.Using discrete Hodge decomposition and Euler's formula for a network of polyhe-dra, we show that the number of dynamic degrees of freedom (DoFs) of the electricطeld equals the number of dynamic DoFs of the magnetic طeld on an arbitrary lat-tice (cell complex). This identity reects an essential property of discrete Maxwellequations (Hamiltonian structure) that any compatible discretization scheme shouldobserve. We unveil a new duality called Galerkin duality, a transformation betweentwo (discrete) systems, primal system and dual system. If the discrete Hodge oper-ators are realized by G,..tested for theQ1 PC1 bus cardBoth these projects mere sofixare des elopment efforts tonards contributing to dlfferentaspects of Roboucs and lZ1echatronics projects m the Controls and Roboucs Group..
Subject : Electericl tess
: برق
electronic file name : TL45104.pdf
Title and statement of responsibility and : COMPATIBLE DISCRETIZATIONS FOR MAXWELL EQUATIONS [Thesis]
 
 
 
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