Artificial Boundary Method PDF Download
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Author: Houde Han
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
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Book Description
"Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics and mechanical engineering. Prof. Houde Han works at Tsinghua University, China; Prof. Xiaonan Wu works at Hong Kong Baptist University, China.
Author: Houde Han
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
Get Book Here
Book Description
"Artificial Boundary Method" systematically introduces the artificial boundary method for the numerical solutions of partial differential equations in unbounded domains. Detailed discussions treat different types of problems, including Laplace, Helmholtz, heat, Schrödinger, and Navier and Stokes equations. Both numerical methods and error analysis are discussed. The book is intended for researchers working in the fields of computational mathematics and mechanical engineering. Prof. Houde Han works at Tsinghua University, China; Prof. Xiaonan Wu works at Hong Kong Baptist University, China.
Author: Pingwen Zhang
Publisher: World Scientific
ISBN: 9814478512
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.
Author: Steffen Marburg
Publisher: Springer Science & Business Media
ISBN: 3540774483
Category : Science
Languages : en
Pages : 584
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Book Description
The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.
Author: L. Tourrette
Publisher: Nova Publishers
ISBN: 9781560729402
Category : Mathematics
Languages : en
Pages : 396
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Book Description
CD-ROM contains: Sections omitted from printing of text.
Author: Jussi Behrndt
Publisher: Springer Nature
ISBN: 3030367142
Category : Mathematics
Languages : en
Pages : 775
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Book Description
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
Author: Houqun Chen
Publisher: Elsevier
ISBN: 0128036273
Category : Science
Languages : en
Pages : 638
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Book Description
Written for civil, structural and geotechnical engineers, this book presents the latest research and practical experience in the design of high-arch dams in seismically active regions, from an author team that is highly active and experienced in the design, development and construction of 300m high arch dams. The book covers the entire subject of dam design for seismic regions, including seismic input mechanisms and modeling, non-linear analysis techniques for dam structure and foundations, concrete material properties, and simulation techniques for dam design. Of particular value are the real-world experimental data and design case studies that enhance the book and ensure that readers can apply the theoretical content to their own projects. - Break through the conventional concepts in civil engineering discipline and focus on applying new techniques from other subject fields to seismic safety on high-arch dam design in an innovative way - Shows how to model and evaluate seismic safety of dams using seismic input, dam response and dynamic resistance - Summarizes the methodology and approaches applied to high-arch dam design and construction in China, demonstrates the selection of site-specific seismic input parameters, and enables the reader to apply this to their own specific design challenge
Author:
Publisher: Taylor & Francis
ISBN: 9789054102908
Category : Deprem mühendisliği
Languages : en
Pages : 336
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Book Description
Author: Thomas L. Geers
Publisher: Springer Science & Business Media
ISBN: 9401590958
Category : Technology & Engineering
Languages : en
Pages : 335
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Book Description
This volume constitutes the proceedings of the 1997 IUTAM Symposium, where invited researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics, and mathematics discussed non-reflecting computational boundaries. The participants formulated benchmark problems for evaluating computational boundaries, as described in the first article.
Author: John P. Wolf
Publisher: John Wiley & Sons
ISBN: 9780471486824
Category : Technology & Engineering
Languages : en
Pages : 398
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Book Description
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.
Author: Li Tian
Publisher: Trans Tech Publications Ltd
ISBN: 3038261556
Category : Technology & Engineering
Languages : en
Pages : 1770
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Book Description
Selected, peer reviewed papers from the 2013 International Conference on Civil, Architecture and Building Materials (3rd CEABM 2013), May 24-26, 2013, Jinan, China
