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In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions. This is the case, for instance, with functions displaying a smooth behavior, except in certain regions where sudden and sharp variations are localized. Typical examples are internal or boundary layers. When the number of degrees of freedom in the discretization process is not sufficient to ensure a fine resolution of the layers, some stabilization procedures are needed to avoid unpleasant oscillatory effects, without adding too much artificial viscosity to the scheme. In the field of finite elements, the streamline diffusion method, the Galerkin least-squares method, the bub ble function approach, and other recent similar techniques provide excellent treatments of transport equations of elliptic type with small diffusive terms, referred to in fluid dynamics as advection-diffusion (or convection-diffusion) equations. Goals This book is an attempt to guide the reader in the construction of a computa tional code based on the spectral collocation method, using algebraic polyno mials. The main topic is the approximation of elliptic type boundary-value par tial differential equations in 2-D, with special attention to transport-diffusion equations, where the second-order diffusive terms are strongly dominated by the first-order advective terms. Applications will be considered especially in the case where nonlinear systems of partial differential equations can be re duced to a sequence of transport-diffusion equations.
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Contenuti
1. The Poisson equation in the square.- 2. Steady transport-diffusion equations.- 3. Other kinds of boundary conditions.- 4. The spectral element method.- 5. Time discretization.- 6. Extensions.- References.
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Spectral Elements for Transport-Dominated Equations
Da: Biblios, Frankfurt am main, HESSE, Germania
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Condizione: New. pp. 228. Codice articolo 183128246
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Spectral Elements for Transport-Dominated Equations
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Condizione: New. pp. 228. Codice articolo 263128252
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Spectral Elements for Transport-Dominated Equations
Da: Majestic Books, Hounslow, Regno Unito
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Condizione: New. pp. 228 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 5768291
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Spectral Elements for Transport-Dominated Equations
Editore:
Springer Berlin Heidelberg, 1997
ISBN 10: 3540626492
ISBN 13: 9783540626497
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Da: Buchpark, Trebbin, Germania
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Condizione: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Codice articolo 308625/202
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Spectral Elements for Transport-Dominated Equations
Da: La bataille des livres, Pradinas, Francia
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Condizione: Bon. Spectral Elements for Transport-Dominated Equations | Griebel et alii | Springer, 1991, in-8 broché, 211 pages. Couverture très légèrement passée. Dos solide. Intérieur frais. Exemplaire de bibliothèque : petit code barre en pied de 1re de couv., cotation au dos, rares et discrets petits tampons à l'intérieur de l'ouvrage. Bon exemplaire. [BT58]. Codice articolo 0S-1CSF-UGZC
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Spectral Elements for Transport-Dominated Equations.
Editore:
Berlin Springer Verlag, 1997
ISBN 10: 3540626492
ISBN 13: 9783540626497
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Softcover
Da: CSG Onlinebuch GMBH, Darmstadt, Germania
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Softcover. Condizione: Gut. Gebraucht - Gut Zustand: Gut, Mängelexemplar, X, 211 pp. 97 figs., 12 tabs. About this book: The book deals with the numerical approximation of various PDEs using the spectral element method, with particular emphasis for elliptic equations dominated by first-order terms. It provides a simple introduction to spectral elements with additional new tools (upwind grids and preconditioners). Applications to fluid dynamics and semiconductor devices are considered, as well as in other models were transport-diffusion equations arise. The aim is to provide the reader with both introductive and more advanced material on spectral Legendre collocation methods. The book however does not cover all the aspects of spectral methods. Engineers, physicists and applied mathematicians may study how to implement the collocation method and use the results to improve their computational codes. Written for Graduate Students and Researchers in scientific computing & fluid dynamics. Codice articolo 16649
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Spectral Elements For Transport-dominated Equations
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Spectral Elements for Transport-Dominated Equations (Lecture Notes in Computational Science and Engineering, 1)
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Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address. Codice articolo SHUB268166
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Spectral Elements for Transport-Dominated Equations
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions. This is the case, for instance, with functions displaying a . Codice articolo 4896032
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Spectral Elements for Transport-Dominated Equations
Editore:
Springer Berlin Heidelberg Apr 1997, 1997
ISBN 10: 3540626492
ISBN 13: 9783540626497
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions. This is the case, for instance, with functions displaying a smooth behavior, except in certain regions where sudden and sharp variations are localized. Typical examples are internal or boundary layers. When the number of degrees of freedom in the discretization process is not sufficient to ensure a fine resolution of the layers, some stabilization procedures are needed to avoid unpleasant oscillatory effects, without adding too much artificial viscosity to the scheme. In the field of finite elements, the streamline diffusion method, the Galerkin least-squares method, the bub ble function approach, and other recent similar techniques provide excellent treatments of transport equations of elliptic type with small diffusive terms, referred to in fluid dynamics as advection-diffusion (or convection-diffusion) equations. Goals This book is an attempt to guide the reader in the construction of a computa tional code based on the spectral collocation method, using algebraic polyno mials. The main topic is the approximation of elliptic type boundary-value par tial differential equations in 2-D, with special attention to transport-diffusion equations, where the second-order diffusive terms are strongly dominated by the first-order advective terms. Applications will be considered especially in the case where nonlinear systems of partial differential equations can be re duced to a sequence of transport-diffusion equations. 228 pp. Englisch. Codice articolo 9783540626497
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