This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects.
This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation
of waves.
Автор: Qingjie Cao; Alain L?ger Название: A Smooth and Discontinuous Oscillator ISBN: 3662530929 ISBN-13(EAN): 9783662530924 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Background: Nonlinear Systems.- An Smooth and Discontinuous (SD) Oscillator.- Bifurcation Behaviour.- Periodic Motions of the Perturbed SD Oscillator.- The Exact Solutions.- Chaotic Motions of the SD Oscillator.- Experimental Investigation of the SD Oscillator.- Applications in Structural Dynamics.- Applications in Engineering Isolation.- Challenges and the Open Problems.
Автор: V?t Dolej??; Miloslav Feistauer Название: Discontinuous Galerkin Method ISBN: 3319371231 ISBN-13(EAN): 9783319371238 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations.
Автор: Hatzor, Yossef H. (Ben-Gurion University of the Negev, Beer-Sheva, Israel) Ma, Guowei (School of Civil and Resource Engineering, The University of Western Australia, Crawley, WA, Australia) Shi, Gen-hua Название: Discontinuous Deformation Analysis in Rock Mechanics Practice ISBN: 1032096659 ISBN-13(EAN): 9781032096650 Издательство: Taylor&Francis Рейтинг: Цена: 10564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: DDA is a numerical evolving method in rock mechanics practice. While the theory is covered in Shi`s book which was published in 1993, the verification, validation, and application of the method have not yet been presented in a concise form to professionals and students of rock mechanics and rock engineering. This book is intended to bridge the gap
Автор: Marat Akhmet; Enes Y?lmaz Название: Neural Networks with Discontinuous/Impact Activations ISBN: 1461485657 ISBN-13(EAN): 9781461485650 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph examines a wide range of neural networks models with discontinuities, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type.
Описание: Structural Equation Modeling provides a conceptual and mathematical understanding of structural equation modelling, helping readers across disciplines understand how to test or validate theoretical models, and build relationships between observed variables.
Описание: Structural Equation Modeling provides a conceptual and mathematical understanding of structural equation modelling, helping readers across disciplines understand how to test or validate theoretical models, and build relationships between observed variables.
Автор: Qingjie Cao; Alain L?ger Название: A Smooth and Discontinuous Oscillator ISBN: 3662571102 ISBN-13(EAN): 9783662571101 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Background: Nonlinear Systems.- An Smooth and Discontinuous (SD) Oscillator.- Bifurcation Behaviour.- Periodic Motions of the Perturbed SD Oscillator.- The Exact Solutions.- Chaotic Motions of the SD Oscillator.- Experimental Investigation of the SD Oscillator.- Applications in Structural Dynamics.- Applications in Engineering Isolation.- Challenges and the Open Problems.
