This book offers an in-depth presentation of the finite element
method, aimed at engineers, students and researchers in applied
sciences.The description of the method is presented in such a way
as to be usable in any domain of application. The level of
mathematical expertise required is limited to differential and
matrix calculus.The various stages necessary for the implementation
of the method are clearly identified, with a chapter given over to
each one: approximation, construction of the integral forms, matrix
organization, solution of the algebraic systems and architecture of
programs. The final chapter lays the foundations for a general
program, written in Matlab, which can be used to solve problems
that are linear or otherwise, stationary or transient, presented in
relation to applications stemming from the domains of structural
mechanics, fluid mechanics and heat transfer.
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