Indeed, as soon as a mathematical technology cannot be applied within the industrial applications due to operational inadequacy, numerical analysis takes over and finds the solution by identifying the best adapted approximation process. This mathematical knowledge field – Numerical Analysis – may be characterised as the “mathematic of mathematics” in the same line of thought as that of a “police of polices”. It is most probably related to the boom in InformationTechnologywhich has literally invaded the planet and provided, de facto, calculation capacities undreamt of up to now. Numerical Analysis has undergone a spectacular development during these past forty years. It resumes part of the curriculum leading to the certificate in “Numerical Methods forMechanics” taught by the author since the past twelve years as part of the graduate studies in Mechanics at the University of Pierre and Marie Curie (Paris VI). This book is dedicated to the use of the finite elements method for the approximation of equations having partial derivatives.
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