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#TWER:MOD --- Analyse numérique. --- Numerical analysis --- Fluides, Mécanique des --- Fluid mechanics --- Boundary element methods. --- Éléments-frontières, Méthode des --- Engineering mathematics. --- Mathématiques de l'ingénieur --- Mécanique des fluides. --- Éléments-frontières, Méthode des. --- Éléments-frontières, Méthode des. --- Mathématiques de l'ingénieur --- Analyse numérique --- Mécanique des fluides.

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Collocation methods --- Collocation, Méthodes de (mathématiques) --- Differential equations, Partial. --- Équations aux dérivées partielles. --- Boundary value problems. --- Problèmes aux limites --- Boundary element methods. --- Éléments-frontières, Méthode des. --- Equations aux dérivées partielles élliptiques --- Neumann, Problème de

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Although finite element courses have become more popular in the undergraduate and graduate engineering, science, and applied mathematics curricula, there are very few introductory textbooks geared toward students accustomed to using computers for everyday assignments and research. 'An Introduction to Linear and Nonlinear Finite Element Analysis' fills this gap, offering a concise, integrated presentation of methods, applications, computational software tools, and hands-on programming projects. Suitable for junior/senior undergraduate and first-year graduate courses, the book is aimed at students from a variety of disciplines: engineering, physics, geophysics, and applied mathematics. Unlike existing texts designed with specific applications to a particular field of mechanical, civil, or chemical engineering, the emphasis here is on interdisciplinary applications. One- and two-dimensional linear and nonlinear initial/boundary value problems are solved using finite element, Newton's, and conjugate gradient methods. Mathematical theory is kept to a minimum, making the text accessible to students with varied backgrounds. Features: * Software tools using Mathematica, Matlab, Fortran, and commercial finite element codes, such as Ansys, integrated throughout the text * Numerous examples and exercises with diverse applications to linear and nonlinear heat transfer, fluid flows, mechanical vibrations, electromagnetics, and structures * Supporting material and selected solutions to problems available at the authors' websites: http://www.math.uno.edu/fac/pkythe.html and http://www.math.uno.edu/fac/dwei.html * Minimal prerequisites: a course in calculus of several variables, differential equations and linear algebra, as well as some knowledge of computers Primarily a classroom resource, the book may also be used as a self-study reference for researchers and practitioners who need a quick introduction to finite element methods. P>.

Structural analysis (Engineering). --- Finite element method. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Partial differential equations. --- Mathematical physics. --- Engineering. --- Applications of Mathematics. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Mathematical and Computational Engineering. --- Engineering, general. --- Construction --- Industrial arts --- Technology --- Physical mathematics --- Physics --- Partial differential equations --- Computer mathematics --- Electronic data processing --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Éléments finis, Méthode des --- Finite element method --- Éléments finis, Méthode des. --- Éléments-frontières, Méthode des. --- Systèmes linéaires. --- Boundary element methods. --- Linear systems.