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Infinite Boundaries
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Book Synopsis The Scaled Boundary Finite Element Method by : John P. Wolf
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.
Book Synopsis Random Walks, Boundaries and Spectra by : Daniel Lenz
Download or read book Random Walks, Boundaries and Spectra written by Daniel Lenz and published by Springer Science & Business Media. This book was released on 2011-06-16 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'.
Book Synopsis Technical Report by : Cold Regions Research and Engineering Laboratory (U.S.)
Download or read book Technical Report written by Cold Regions Research and Engineering Laboratory (U.S.) and published by . This book was released on 1950 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Musings written by Michael Taylor and published by Lulu.com. This book was released on 2006-12-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you examine life close enough, you will find that there are reasons for about everything that exists or takes place. Is it too much to believe that the existence of God and good could be reasonable ideas? Would it be beyond reason to believe that God would have to be the most logical of all beings? This work is an excellent work to reason out the major concepts behind God, Good & Evil, Causes, Evolution & Intelligent Design, First Cause, Creation of the Universe, and why God must exist. Great for atheists and Christians, as well as other religions.Since it is very difficult to reason out God, good, and the meaning of life without spending many years of study, searching, and hard labor, the work that you now hold was created to explain via reason the existence of God, the good, some fallacies of science, and the meaning of life.
Book Synopsis Elements of the Mathematical Theory of Limits by : John Gaston Leathem
Download or read book Elements of the Mathematical Theory of Limits written by John Gaston Leathem and published by . This book was released on 1925 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mixed Boundary Problems in Solid Mechanics by : Natalya Vaysfeld
Download or read book Mixed Boundary Problems in Solid Mechanics written by Natalya Vaysfeld and published by Springer Nature. This book was released on 2023-09-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. So the topics present the application of mathematical mechanics of solid bodies notably in elasticity, showing the interconnection of elasticity and temperature that would normally treated independently. Theoretical and experimental results are expected to be useful for researchers investigating a wide range of materials including metals, composites, ceramics, polymers, biomaterials and nanomaterials under different mechanical and temperature loading. The aim of the book is to introduce an interdisciplinary audience to a variety of stress state phenomena occurring in elasticity near defects and edges of the bodies. The book is aimed at researchers, primarily but not exclusively graduate students, postdoctoral researchers, specialists from Aerospace and Civil Engineering, Materials Science, and Engineering Mechanics and should naturally also be of interest to specialists of Physics and Applied Mathematics.
Download or read book Time Reborn written by Lee Smolin and published by HMH. This book was released on 2013-04-23 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: A radical new view of the nature of time and the cosmos—“at once entertaining, thought-provoking, fabulously ambitious and fabulously speculative” (The New York Times Book Review). What is time? This deceptively simple question is the single most important problem facing science as we probe deeper into the fundamentals of the universe. All of the mysteries physicists and cosmologists face—from the Big Bang to the future of the universe, from the puzzles of quantum physics to the unification of forces and particles—come down to the nature of time. The fact that time is real may seem obvious. You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists, from Newton to Einstein to today’s quantum theorists, have seen things differently. The scientific case for time being an illusion is formidable. That is why the consequences of adopting the view that time is real are revolutionary. Here, the author of The Trouble with Physics argues that a limited notion of time is holding physics back—and what we need now is a major shift in scientific thought. The true reality of this manmade construct could be the key to the next big breakthrough in theoretical physics—and could hold implications relevant to issues from climate change to the economy. What if the laws of physics themselves were not ageless? What if they could evolve? Time Reborn offers a radical approach to cosmology that embraces the concept of time and opens up a whole new universe of possibilities. “With rare conceptual daring, Smolin beckons toward a new perspective for doing cosmological theory . . . A thrilling intellectual ride.” —Booklist, starred review
Book Synopsis Boundary Integral and Singularity Methods for Linearized Viscous Flow by : C. Pozrikidis
Download or read book Boundary Integral and Singularity Methods for Linearized Viscous Flow written by C. Pozrikidis and published by Cambridge University Press. This book was released on 1992-02-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
Book Synopsis USAF Damage Tolerant Design Handbook by :
Download or read book USAF Damage Tolerant Design Handbook written by and published by . This book was released on 1984 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Value Problems of Mathematical Physics by : O. A. Ladyzhenskaya
Download or read book Boundary Value Problems of Mathematical Physics written by O. A. Ladyzhenskaya and published by American Mathematical Soc.. This book was released on 1989 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Resistivity and Induced Polarization by : Andrew Binley
Download or read book Resistivity and Induced Polarization written by Andrew Binley and published by Cambridge University Press. This book was released on 2020-12-17 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resistivity and induced polarization methods are used for a wide range of near-surface applications, including hydrogeology, civil engineering and archaeology, as well as emerging applications in the agricultural and plant sciences. This comprehensive reference text covers both theory and practice of resistivity and induced polarization methods, demonstrating how to measure, model and interpret data in both the laboratory and the field. Marking the 100 year anniversary of the seminal work of Conrad Schlumberger (1920), the book covers historical development of electrical geophysics, electrical properties of geological materials, instrumentation, acquisition and modelling, and includes case studies that capture applications to societally relevant problems. The book is also supported by a full suite of forward and inverse modelling tools, allowing the reader to apply the techniques to a wide range of applications using digital datasets provided online. This is a valuable reference for graduate students, researchers and practitioners interested in near-surface geophysics.
Download or read book Physical Metallurgy written by R.W. Cahn and published by Elsevier. This book was released on 1996-02-09 with total page 2889 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth edition of a work which first appeared in 1965. The first edition had approximately one thousand pages in a single volume. This latest volume has almost three thousand pages in 3 volumes which is a fair measure of the pace at which the discipline of physical metallurgy has grown in the intervening 30 years.Almost all the topics previously treated are still in evidence in this version which is approximately 50% bigger than the previous edition. All the chapters have been either totally rewritten by new authors or thoroughly revised and expanded, either by the third-edition authors alone or jointly with new co-authors. Three chapters on new topics have been added, dealing with dry corrosion, oxidation and protection of metal surfaces; the dislocation theory of the mechanical behavior of intermetallic compounds; and (most novel) a chapter on polymer science for metallurgists, which analyses the conceptual mismatch between metallurgists' and polymer scientists' way of looking at materials. Special care has been taken throughout all chapters to incorporate the latest experimental research results and theoretical insights. Several thousand citations to the research and review literature are included in this edition. There is a very detailed subject index, as well as a comprehensive author index.The original version of this book has long been regarded as the standard text in physical metallurgy and this thoroughly rewritten and updated version will retain this status.
Book Synopsis The Model of Everything by : Ralph Brown
Download or read book The Model of Everything written by Ralph Brown and published by Covenant Books, Inc.. This book was released on 2021-01-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: When humanity questions the purpose of existence, they often turn to science or religion for answers. Unfortunately, both science and religion contain inconsistencies. These inconsistencies touch the human spirit in the most profound ways, resulting in an uneasiness about life. "Do I really have a purpose?" Seeking to address the spiritual unease, the history of humanity documents the development and pursuit of religion with a concept of a divine creator with a plan for humanity. However, in more recent history with an increasing emphasis on scientific knowledge, the concept of a divine creator is increasingly discounted as inconsistent with the material world revealed by scientific discovery. Via the scientific method, humanity is turning its focus to the material world, creating new gods of science and the purveyors of scientific knowledge. But rather than provide definitive answers, as science continues to advance, the theories of creation point increasingly to inconclusive and inconsistent results. These shortcomings of science are often veiled in the expression "Someday, we will know," but many in the scientific community are beginning to question that hope. With science and religion each plagued with inconsistency, perhaps appropriately integrating them will lead us to the real answers we seek! The Model of Everything-A Divine Universe relies on both scientific and biblical knowledge to fully integrate science and religion in a consistent, complementary, and interdependent fashion. This confluence and synergy of knowledge reveal a comprehensive model that accounts for the totality of human existence-the physical and spiritual. The reader, via personal and straightforward experiments, participates in developing the model. Biblical knowledge is the pointer for a unique application of scientific knowledge. Then, the incredible and sometimes bizarre world of science reveals how God teaches us about our existence and spirituality. The integration of scientific and biblical knowledge results in several new mental constructs, providing an account for the totality of creation-the material and immaterial-and a genuine hope and understanding of personal existence. The model presents some eye-popping implications and applications as well as predictions on future scientific progress and outcomes. Each reader is invited and encouraged to become a scientist; a scientist prepared to chart a life-changing personal discovery.
Book Synopsis Handbook of Mathematical Techniques for Wave/Structure Interactions by : C.M. Linton
Download or read book Handbook of Mathematical Techniques for Wave/Structure Interactions written by C.M. Linton and published by CRC Press. This book was released on 2001-02-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the
Download or read book Boundary Elements written by Qinghua Du and published by Elsevier. This book was released on 2013-09-11 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Elements contains the proceedings of the International Conference on Boundary Elements Methods held at Beijing, China on October 14-17, 1986. The conference aims at interchanging the developments of the boundary element method or the boundary integral equation method, as well as the techniques and advances in many engineering, physical, or mechanical field. The various papers presented in the conference are organized in this book into eight parts. Part I talks about engineering in general. Subsequent parts focus on fluid mechanics, thermo-mechanics, solid mechanics, and dynamics. Applications of boundary elements method to shell and plate analyses, as well as to other types of analysis, are also shown in other parts in this book.
Book Synopsis Computational Fluid Dynamics by : Guoxiang Hou
Download or read book Computational Fluid Dynamics written by Guoxiang Hou and published by Springer Nature. This book was released on with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conformal Mapping by : Roland Schinzinger
Download or read book Conformal Mapping written by Roland Schinzinger and published by Courier Corporation. This book was released on 2012-04-30 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides. Other topics include vibrating membranes and acoustics, transverse vibrations and buckling of plates, stresses and strains in an elastic medium, steady state heat conduction in doubly connected regions, transient heat transfer in isotropic and anisotropic media, and fluid flow. Revision of 1991 ed. 247 figures. 38 tables. Appendices.
