Finite Element Method: Physics and Solution Methods aims to provide
the reader a sound understanding of the physical systems and
solution methods to enable effective use of the finite element
method. This book focuses on one- and two-dimensional elasticity
and heat transfer problems with detailed derivations of the
governing equations. The connections between the classical
variational techniques and the finite element method are carefully
explained. Following the chapter addressing the classical
variational methods, the finite element method is developed as a
natural outcome of these methods where the governing partial
differential equation is defined over a subsegment (element) of the
solution domain. As well as being a guide to thorough and effective
use of the finite element method, this book also functions as a
reference on theory of elasticity, heat transfer, and mechanics of
beams.
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