This book presents a mathematical theory of finite elements. Recent developments are covered in detail. Several reading paths are proposed, allowing for a readership with diverse interests. Engineers and applications-oriented researchers will find it useful. It can also be used as a graduate-level textbook.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The origins of the finite element method can be traced back to the 1950s when engineers started to solve numerically structural mechanics problems in aeronautics. Since then, the field of applications has widened steadily and nowadays encompasses nonlinear solid mechanics, fluid/structure interactions, flows in industrial or geophysical settings, multicomponent reactive turbulent flows, mass transfer in porous media, viscoelastic flows in medical sciences, electromagnetism, wave scattering problems, and option pricing (to cite a few examples). Numerous commercial and academic codes based on the finite element method have been developed over the years. The method has been so successful to solve Partial Differential Equations (PDEs) that the term 'Finite Element Method' nowadays refers not only to the mere interpolation technique it is, but also to a fuzzy set of PDEs and approximation techniques. The efficiency of the finite element method relies on two distinct ingredi ents: the interpolation capability of finite elements (referred to as the approx imability property in this book) and the ability of the user to approximate his model (mostly a set of PDEs) in a proper mathematical setting (thus guar anteeing continuity, stability, and consistency properties). Experience shows that failure to produce an approximate solution with an acceptable accuracy is almost invariably linked to departure from the mathematical foundations. Typical examples include non-physical oscillations, spurious modes, and lock ing effects. In most cases, a remedy can be designed if the mathematical framework is properly set up. 544 pp. Englisch. N° de réf. du vendeur 9781441919182
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique in that it manages to cover three different aspects of the finite element method in a single volume: the rigorous mathematical theory, applications, and practical implementations of the methodThis text presenting the mathematical theory. N° de réf. du vendeur 4172484
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Taschenbuch. Etat : Neu. Theory and Practice of Finite Elements | Alexandre Ern (u. a.) | Taschenbuch | Applied Mathematical Sciences | xiv | Englisch | 2010 | Humana | EAN 9781441919182 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 107253290
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents a mathematical theory of finite elements. Recent developments are covered in detail. Several reading paths are proposed, allowing for a readership with diverse interests. Engineers and applications-oriented researchers will find it useful. It can also be used as a graduate-level textbook.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 544 pp. Englisch. N° de réf. du vendeur 9781441919182
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The origins of the finite element method can be traced back to the 1950s when engineers started to solve numerically structural mechanics problems in aeronautics. Since then, the field of applications has widened steadily and nowadays encompasses nonlinear solid mechanics, fluid/structure interactions, flows in industrial or geophysical settings, multicomponent reactive turbulent flows, mass transfer in porous media, viscoelastic flows in medical sciences, electromagnetism, wave scattering problems, and option pricing (to cite a few examples). Numerous commercial and academic codes based on the finite element method have been developed over the years. The method has been so successful to solve Partial Differential Equations (PDEs) that the term 'Finite Element Method' nowadays refers not only to the mere interpolation technique it is, but also to a fuzzy set of PDEs and approximation techniques. The efficiency of the finite element method relies on two distinct ingredi ents: the interpolation capability of finite elements (referred to as the approx imability property in this book) and the ability of the user to approximate his model (mostly a set of PDEs) in a proper mathematical setting (thus guar anteeing continuity, stability, and consistency properties). Experience shows that failure to produce an approximate solution with an acceptable accuracy is almost invariably linked to departure from the mathematical foundations. Typical examples include non-physical oscillations, spurious modes, and lock ing effects. In most cases, a remedy can be designed if the mathematical framework is properly set up. N° de réf. du vendeur 9781441919182
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