The Cell Method for Electrical Engineering and Multiphysics Problems
Subtitle: An Introduction
By: by Piergiorgio Alotto, Fabio Freschi, Maurizio Repetto, Carlo Rosso
Contributors: Freschi, Fabio; Repetto, Maurizio; Rosso, Carlo; SpringerLink (Online service)
Series: Lecture Notes in Electrical Engineering -- 230
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 130
ISBN-13: 9783642361012
Subjects: Appl.Mathematics/Computational Methods of Engineering; Computer engineering; Numerical and Computational Physics; Engineering mathematics; Electrical engineering; Engineering
Description: <p>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.</p><p> </p>
Table of contents: title: <p>Tonti diagrams.-Topological equations; title: Constitutive equations; title: Classical physical problems; title: Multiphysics problems; title: Implementation.</p><p><p><p><p><p><p>.