The Cell Method: A Purely Algebraic Computational Method in Physics and Engineering

The Cell Method (CM) is a computational tool that maintains criticalmultidimensional attributes of physical phenomena in analysis. Thisinformation is neglected in the differential formulations of the classicalapproaches of finite element, boundary element, finite volume,and finite difference analysis, often leading to numerical instabilitiesand spurious results.This book highlights the central theoretical concepts of the CM thatpreserve a more accurate and precise representation of the geometricand topological features of variables for practical problem solving.Important applications occur in fields such as electromagnetics, electrodynamics,solid mechanics and fluids. CM addresses non-localityin continuum mechanics, an especially important circumstance inmodeling 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. Read more