Download or read book Artificial Boundary Method written by Houde Han and published by Springer Science & Business Media. This book was released on 2013-04-13 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Download or read book Computational Acoustics of Noise Propagation in Fluids Finite and Boundary Element Methods written by Steffen Marburg and published by Springer Science & Business Media. This book was released on 2008-02-27 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Boundary Value Problems Weyl Functions and Differential Operators written by Jussi Behrndt and published by Springer Nature. This book was released on 2020-01-03 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Selected Papers of the Fourth Conference on East Asia and Western Pacific Meteorology and Climate written by Chih-Pei Chang and published by World Scientific. This book was released on 2002 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers remote sensing, atmospheric physics and chemistry, and the impact of aircraft emissions on atmospheric composition, as well as traditional topics like typhoons, rainstorms, monsoons and climate.

Download or read book Frontiers And Prospects Of Contemporary Applied Mathematics written by Pingwen Zhang and published by World Scientific. This book was released on 2006-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Advances in Building Technology written by M. Anson and published by Elsevier. This book was released on 2002-11-14 with total page 1844 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of proceedings is based on the International Conference on Advances in Building Technology in Hong Kong on 4-6 December 2002. The two volumes of proceedings contain 9 invited keynote papers, 72 papers delivered by 11 teams , and 133 contributed papers from over 20 countries around the world. The papers cover a wide spectrum of topics across the three technology sub-themes of structures and construction, environment, and information technology. The variety within these categories spans a width of topics, and these proceedings provide readers with a good general overview of recent advances in building research.

Download or read book Absorbing Boundaries and Layers Domain Decomposition Methods written by L. Tourrette and published by Nova Publishers. This book was released on 2001 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Sections omitted from printing of text.

Download or read book The Scaled Boundary Finite Element Method written by John P. Wolf and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Numerical Methods for Exterior Problems written by Long'an Ying and published by World Scientific. This book was released on 2006 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposition. 2.9. Boundary perturbation -- 3. Infinite element method. 3.1. Harmonic equation-two dimensional problems. 3.2. General elements. 3.3. Harmonic equation-three dimensional problems. 3.4. Inhomogeneous equations. 3.5. Plane elasticity. 3.6. Bi-harmonic equations. 3.7. Stokes equation. 3.8. Darwin model. 3.9. Elliptic equations with variable coefficients. 3.10. Convergence -- 4. Artificial boundary conditions. 4.1. Absorbing boundary conditions. 4.2. Some approximations. 4.3. Bayliss-Turkel radiation boundary conditions. 4.4. A lower order absorbing boundary condition. 4.5. Liao extrapolation in space and time. 4.6. Maxwell equations. 4.7. Finite difference schemes. 4.8. Stationary Navier-Stokes equations -- 5. Perfectly matched layer method. 5.1. Wave equations. 5.2. Bérenger's perfectly matched layers. 5.3. Stability analysis. 5.4. Uniaxial perfectly matched layers. 5.5. Maxwell equations. 5.6. Helmholtz equations -- 6. Spectral method. 6.1. Introduction. 6.2. Orthogonal systems of polynomials. 6.3. Laguerre spectral methods. 6.4. Jacobi spectral methods. 6.5. Rational and irrational spectral methods. 6.6. Error estimates

Download or read book Domain Decomposition Methods in Science and Engineering XIX written by Yunqing Huang and published by Springer Science & Business Media. This book was released on 2010-10-27 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.

Download or read book IUTAM Symposium on Computational Methods for Unbounded Domains written by Thomas L. Geers and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Computational Mechanics written by Zhenhan Yao and published by 清华大学出版社有限公司. This book was released on 2004 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Methods for Viscous Incompressible Flows written by Max D. Gunzburger and published by Elsevier. This book was released on 2012-12-02 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.

Download or read book Numerical Methods for Problems in Infinite Domains written by D. Givoli and published by Elsevier. This book was released on 2013-10-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

Download or read book Dynamic Analysis and Earthquake Resistant Design written by Japanese Society of Civil Engineers and published by CRC Press. This book was released on 2021-07-29 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume in a projected series on dynamic analysis and earthquake resistant design, this text includes topics such as: dynamic analysis of soil-structure interaction system, rupture of ground due to earthquake and its prediciton, basic method response calculations and nonlinear problems.

Download or read book Infinite Elements written by Peter Bettess and published by . This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Computational Earthquake Engineering written by Muneo Hori and published by Imperial College Press. This book was released on 2006 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new research topics in earthquake engineering through the application of computational mechanics and computer science. The topics covered discuss the evaluation of earthquake hazards such as strong ground motion and faulting through applying advanced numerical analysis methods, useful for estimating earthquake disasters. These methods, based on recent progress in solid continuum mechanics and computational mechanics, are summarized comprehensively for graduate students and researchers in earthquake engineering. The coverage includes stochastic modeling as well as several advanced computational earthquake engineering topics. Contents: Preliminaries: Solid Continuum Mechanics; Finite Element Method; Stochastic Modeling; Strong Ground Motion: The Wave Equation for Solids; Analysis of Strong Ground Motion; Simulation of Strong Ground Motion; Faulting: Elasto-Plasticity and Fracture Mechanics; Analysis of Faulting; Simulation of Faulting; BEM Simulation of Faulting; Advanced Topics: Integrated Earthquake Simulation; Unified Visualization of Earthquake Simulation; Standardization of Earthquake Resistant Design; Appendices: Earthquake Mechanisms; Analytical Mechanics; Numerical Techniques of Solving Wave Equation; Unified Modeling Language. Key Features Includes a detailed treatment of modeling of uncertain ground structures, such as stochastic modeling Explains several key numerical algorithms and techniques for solving large-scale, non-linear and dynamic problems Presents applications of methods for simulating actual strong ground motion and faulting Readership: Graduate students and researchers in earthquake engineering; researchers in computational mechanics and computer science.