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The Cell Method for Electrical Engineering and Multiphysics Problems

by Alotto, Piergiorgio.
Authors: Freschi, Fabio.%author. | Repetto, Maurizio.%author. | Rosso, Carlo.%author. | SpringerLink (Online service) Series: Lecture Notes in Electrical Engineering, 1876-1100 ; . 230 Physical details: XII, 130 p. 113 illus. online resource. ISBN: 3642361013 Subject(s): Engineering. | Engineering mathematics. | Computer engineering. | Engineering. | Appl.Mathematics/Computational Methods of Engineering. | Electrical Engineering. | Numerical and Computational Physics.
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E-Book E-Book AUM Main Library 519 (Browse Shelf) Not for loan

Tonti diagrams.-Topological equations -- Constitutive equations -- Classical physical problems -- Multiphysics problems -- Implementation.

This book presents a numerical scheme for the solution of field problems governed by partial differential equations: the cell method. The technique lends itself naturally to the solution of multiphysics problems with several interacting phenomena. The Cell Method, based on a space-time tessellation, is intimately related to the work of Tonti and to his ideas of classification diagrams or, as they are nowadays called, Tonti diagrams: a graphical representation of the problem's equations made possible by a suitable selection of a space-time framework relating physical variables to each other. The main features of the cell method are presented and links with many other discrete numerical methods (finite integration techniques, finite difference time domain, finite volumes, mimetic finite differences, etc.) are discussed. After outlining the theoretical basis of the method, a set of physical problems which have been solved with the cell method is described. These single and multiphysics problems stem from the authors' research experience in the fields of electromagnetism, elasticity, thermo-elasticity and others. Finally, the implementation of the numerical technique is described in all its main components: space-time discretization, problem formulation, solution and representation of the resulting physical fields.  

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