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The Cell Method for Electrical Engineering and Multiphysics Problems - An Introduction (Hardcover, 2013 ed.)
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The Cell Method for Electrical Engineering and Multiphysics Problems - An Introduction (Hardcover, 2013 ed.)
Series: Lecture Notes in Electrical Engineering, 230
Expected to ship within 12 - 17 working days
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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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