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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Theory and Practice of Finite Elements
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Theory and Practice of Finite Elements
Alexandre Ern, Jean-Luc Guermond (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
29.11.2010
Sprache
Englisch
EAN
9781441919182
Herausgeber
Springer US
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Alexandre Ern, Jean-Luc Guermond
Seitenanzahl
526
Einbandart
Broschiert
Schlagwörter
Galerkin approximation, Sobolev space, algorithms, calculus, finite element method, finite elements, numerical analysis, partial differential equations
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBW - Angewandte Mathematik
UYA - Theoretische Informatik
PBKJ - Differentialrechnung und -gleichungen
PBKS - Numerische Mathematik
TBJ - Mathematik für Ingenieure
Höhe
235 mm
Breite
15.5 cm
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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