Finite Elements, Babuska, Ivo; Whiteman, John; Strouboulis, Theofan

Автор: Ern Alexandre, Guermond Jean-Luc
Название: Theory and Practice of Finite Elements
ISBN: 0387205748 ISBN-13(EAN): 9780387205748
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book presents the mathematical theory of finite elements, starting from basic results on approximation theory and finite element interpolation and building up to more recent research topics, such as subgrid viscosity methods and Discontinuous Galerkin methods. The main body of the text is organized into three main sections. The first part develops the theoretical basis for the finite element method, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm, while the second and third parts address various applications and practical implementaions of the method, respectively.Written at the graduate level, the text contains numerous examples and exercises and will be beneficial to students and researchers alike. Depending on one's interests, several reading paths can be followed, emphasizing either convergence results, numerical algorithms, code efficiency, or applications in the engineering sciences.

Автор: Li, Ben Q.
Название: Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer
ISBN: 1852339888 ISBN-13(EAN): 9781852339883
Издательство: Springer
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Цена: 104480.00 T
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Описание: Offers an introduction to the discontinuous finite element method. This book provides a review of the fundamental laws and equations governing thermal and fluid systems. It also explains mesh generation and adaptivity, parellelization algorithms and error analysis.

Автор: Loustau John
Название: Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation
ISBN: 9814719498 ISBN-13(EAN): 9789814719490
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: The book presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting mathematical theory.