The Cell Method

The Cell Method (CM) is a computational tool that maintains critical

multidimensional attributes of physical phenomena in analysis. This

information is neglected in the differential formulations of the classical

approaches of finite element, boundary element, finite volume,

and finite difference analysis, often leading to numerical instabilities

and spurious results.

This book highlights the central theoretical concepts of the CM that

preserve a more accurate and precise representation of the geometric

and topological features of variables for practical problem solving.

Important applications occur in fields such as electromagnetics, electrodynamics,

solid mechanics and fluids. CM addresses non-locality

in continuum mechanics, an especially important circumstance in

modeling heterogeneous materials. Professional engineers and scientists,

as well as graduate students, are offered:

¿ A general overview of physics and its mathematical descriptions;

¿ Guidance on how to build direct, discrete formulations;

¿ Coverage of the governing equations of the CM, including nonlocality;

¿ Explanations of the use of Tonti diagrams; and

¿ References for further reading.