Author: Houde Han
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
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.
Artificial Boundary Method
Author: Houde Han
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
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.
Publisher: Springer Science & Business Media
ISBN: 3642354645
Category : Mathematics
Languages : en
Pages : 434
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.
Frontiers And Prospects Of Contemporary Applied Mathematics
Author: Pingwen Zhang
Publisher: World Scientific
ISBN: 9814478512
Category : Mathematics
Languages : en
Pages : 276
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.
Publisher: World Scientific
ISBN: 9814478512
Category : Mathematics
Languages : en
Pages : 276
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.
Seismic Safety of High Arch Dams
Author: Houqun Chen
Publisher: Elsevier
ISBN: 0128036273
Category : Science
Languages : en
Pages : 638
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
Publisher: Elsevier
ISBN: 0128036273
Category : Science
Languages : en
Pages : 638
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
Earthquakes
Author:
Publisher: BoD – Books on Demand
ISBN: 1789239494
Category : Technology & Engineering
Languages : en
Pages : 336
Book Description
An earthquake is the shaking of the surface of the Earth, resulting from the sudden release of energy in the Earth's lithosphere that creates seismic waves. Earthquakes can range in size from those that are so weak that they cannot be felt to those violent enough to toss people around and destroy the whole cities. At the Earth's surface, earthquakes manifest themselves by shaking and sometimes displacement of the ground. When the epicenter of a large earthquake is located offshore, the seabed may be displaced sufficiently to cause a tsunami. Earthquakes can also trigger landslides and occasionally volcanic activity. Earthquakes are caused not only by rupture of geological faults but also by other events such as volcanic activity, landslides, mine blasts, and nuclear tests. This book addresses the multidisciplinary topic of earthquake hazards and risk, one of the fastest growing, relevant, and applied fields of research and study practiced within the geosciences and environment. This book addresses principles, concepts, and paradigms of earthquakes, as well as operational terms, materials, tools, techniques, and methods including processes, procedures, and implications.
Publisher: BoD – Books on Demand
ISBN: 1789239494
Category : Technology & Engineering
Languages : en
Pages : 336
Book Description
An earthquake is the shaking of the surface of the Earth, resulting from the sudden release of energy in the Earth's lithosphere that creates seismic waves. Earthquakes can range in size from those that are so weak that they cannot be felt to those violent enough to toss people around and destroy the whole cities. At the Earth's surface, earthquakes manifest themselves by shaking and sometimes displacement of the ground. When the epicenter of a large earthquake is located offshore, the seabed may be displaced sufficiently to cause a tsunami. Earthquakes can also trigger landslides and occasionally volcanic activity. Earthquakes are caused not only by rupture of geological faults but also by other events such as volcanic activity, landslides, mine blasts, and nuclear tests. This book addresses the multidisciplinary topic of earthquake hazards and risk, one of the fastest growing, relevant, and applied fields of research and study practiced within the geosciences and environment. This book addresses principles, concepts, and paradigms of earthquakes, as well as operational terms, materials, tools, techniques, and methods including processes, procedures, and implications.
Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
Author: Steffen Marburg
Publisher: Springer Science & Business Media
ISBN: 3540774483
Category : Science
Languages : en
Pages : 584
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.
Publisher: Springer Science & Business Media
ISBN: 3540774483
Category : Science
Languages : en
Pages : 584
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.
Immersed Boundary Method
Author: Somnath Roy
Publisher: Springer Nature
ISBN: 9811539405
Category : Technology & Engineering
Languages : en
Pages : 441
Book Description
This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.
Publisher: Springer Nature
ISBN: 9811539405
Category : Technology & Engineering
Languages : en
Pages : 441
Book Description
This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.
Infinite Elements
Author: Peter Bettess
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 288
Book Description
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 288
Book Description
Selected Papers of the Fourth Conference on East Asia and Western Pacific Meteorology and Climate
Author: Chih-Pei Chang
Publisher: World Scientific
ISBN: 9812777741
Category : Science
Languages : en
Pages : 454
Book Description
This volume is a collection of selected papers of the Fourth Conference on East Asian and Western Pacific meteorology and climate. It 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.In July 1989 the first conference in this series took place in Hong Kong. It was run with the innovative bilingual approach, which allowed both Chinese- and English-speaking scientists from various regious of East Asia and across the Pacific to come together, and share and discuss their research. It also proved to be an invaluable networking opportunity leading to a rapid growth of interaction and cooperation among a diverse group of scientists in the decade that followed. The breadth and depth of the presentations at the Fourth Conference was a testimony to the coming of age of this series of conferences, marking the tenth anniversary of an endeavor that had a modest beginning.
Publisher: World Scientific
ISBN: 9812777741
Category : Science
Languages : en
Pages : 454
Book Description
This volume is a collection of selected papers of the Fourth Conference on East Asian and Western Pacific meteorology and climate. It 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.In July 1989 the first conference in this series took place in Hong Kong. It was run with the innovative bilingual approach, which allowed both Chinese- and English-speaking scientists from various regious of East Asia and across the Pacific to come together, and share and discuss their research. It also proved to be an invaluable networking opportunity leading to a rapid growth of interaction and cooperation among a diverse group of scientists in the decade that followed. The breadth and depth of the presentations at the Fourth Conference was a testimony to the coming of age of this series of conferences, marking the tenth anniversary of an endeavor that had a modest beginning.
Boundary Value Problems, Weyl Functions, and Differential Operators
Author: Jussi Behrndt
Publisher: Springer Nature
ISBN: 3030367142
Category : Mathematics
Languages : en
Pages : 775
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.
Publisher: Springer Nature
ISBN: 3030367142
Category : Mathematics
Languages : en
Pages : 775
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.
The Scaled Boundary Finite Element Method
Author: John P. Wolf
Publisher: John Wiley & Sons
ISBN: 9780471486824
Category : Technology & Engineering
Languages : en
Pages : 398
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.
Publisher: John Wiley & Sons
ISBN: 9780471486824
Category : Technology & Engineering
Languages : en
Pages : 398
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.