Lectures on The Finite Element Method
by Ph. Ciarlet
Publisher: Tata Institute of Fundamental Research 1975
Number of pages: 145
Our basic aim has been to present some of the mathematical aspects of the finite element method, as well as some applications of the finite element method for solving problems in Elasticity. This is why important topics, such as curved boundaries, mixed and hybrid methods, time-dependent problems, etc..., are not covered here.
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Contents: Error Analysis, Numeric Representation, Iteration, Linear Algebra, Interpolation, Least Squares, Taylor Series, Bracketing, The Five Techniques, Root Finding, Optimization, Differentiation, Integration, Initial-value Problems, etc.