Download or read book The Method of Weighted Residuals and Variational Principles written by Bruce A. Finlayson and published by SIAM. This book was released on 2013-12-30 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.
Download or read book The Method of Weighted Residuals and Variational Principles written by Bruce A. Finlayson and published by SIAM. This book was released on 2013-12-30 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.
Download or read book CALCULUS OF VARIATIONS WITH APPLICATIONS written by A. S. GUPTA and published by PHI Learning Pvt. Ltd.. This book was released on 1996-01-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus of variations is one of the most important mathematical tools of great scientific significance used by scientistis and engineers. Unfortunately, a few books that are available are written at a level which is not easily comprehensible for postgraduate students.This book, written by a highly respected academic, presents the materials in a lucid manner so as to be within the easy grasp of the students with some background in calculus, differential equations and functional analysis. The aim is to give a thorough and systematic analysis of various aspects of calculus of variations.
Download or read book Variational Principles in Heat Transfer written by Maurice Anthony Biot and published by . This book was released on 1970 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book develops a variational treatment of heat transfer which includes heat conduction and convection. It is intended to provide the foundation of a unified analysis of irreversible processes by methods analogous to those of classical mechanics. This opens the way to a formulation of heat transfer and dissipative phenomena in complex systems by means of Lagrangian-type equations and generalized coordinates. At the same time this approach suggests many approximate procedures and drastic simplifications applicable to the practical solution of a large category of problems in physics and technology. (Author).
Download or read book Advances in Heat Transfer written by and published by Academic Press. This book was released on 1989-04-01 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Heat Transfer
Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1968 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamental Theories and Their Applications of the Calculus of Variations written by Dazhong Lao and published by Springer Nature. This book was released on 2020-09-02 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the calculus of variations, including fundamental theories and applications. This textbook is intended for graduate and higher-level college and university students, introducing them to the basic concepts and calculation methods used in the calculus of variations. It covers the preliminaries, variational problems with fixed boundaries, sufficient conditions of extrema of functionals, problems with undetermined boundaries, variational problems of conditional extrema, variational problems in parametric forms, variational principles, direct methods for variational problems, variational principles in mechanics and their applications, and variational problems of functionals with vector, tensor and Hamiltonian operators. Many of the contributions are based on the authors’ research, addressing topics such as the extension of the connotation of the Hilbert adjoint operator, definitions of the other three kinds of adjoint operators, the extremum function theorem of the complete functional, unified Euler equations in variational methods, variational theories of functionals with vectors, modulus of vectors, arbitrary order tensors, Hamiltonian operators and Hamiltonian operator strings, reconciling the Euler equations and the natural boundary conditions, and the application range of variational methods. The book is also a valuable reference resource for teachers as well as science and technology professionals.
Download or read book The Mathematics of Finite Elements and Applications written by J. R. Whiteman and published by Academic Press. This book was released on 2014-05-10 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Finite Elements and Applications provides information pertinent to the mathematics of finite elements, applications, algorithms, and computational techniques. This book discusses the developments in the mathematics of finite elements. Organized into 32 chapters, this book begins with an overview of the basis of the finite element process as a general approximation tool. This text then examines the methods for obtaining bounds on the errors in finite element solutions to two-dimensional elliptic boundary value problems defined on simply connected polygonal regions. Other chapters consider the practical implementation of the Galerkin and the Rayleigh–Ritz methods to equations of importance to physics and engineering. This book discusses as well a fundamental investigation into the problem of convergence in the finite element method. The final chapter deals with an algorithm that is applicable to the analysis of arbitrary plane stress or plane strain configurations. This book is a valuable resource for numerical analysts, mathematical physicist, applied mathematicians, computer scientists, and engineers.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 1965 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variational Methods in Nonconservative Phenomena written by B. D. Vujanovic and published by Academic Press. This book was released on 1989-05-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include
Download or read book Solving Direct and Inverse Heat Conduction Problems written by Jan Taler and published by Springer Science & Business Media. This book was released on 2010-04-16 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a solution for direct and inverse heat conduction problems, discussing the theoretical basis for the heat transfer process and presenting selected theoretical and numerical problems in the form of exercises with solutions. The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods. An accompanying CD-Rom includes computational solutions of the examples and extensive FORTRAN code.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractional Calculus with Applications in Mechanics written by Teodor M. Atanackovic and published by John Wiley & Sons. This book was released on 2014-02-19 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail.
Download or read book Finite Elements for Engineers with ANSYS Applications written by Mohamed Gadala and published by Cambridge University Press. This book was released on 2020-07-09 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering theory and practical industry usage of the finite element method, this highly-illustrated step-by-step approach thoroughly introduces methods using ANSYS.
Download or read book Trefftz and Fundamental Solution Based Finite Element Methods written by Qing-Hua Qin and published by Bentham Science Publishers. This book was released on 2021-09-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials. Key Features - Systematic presentation of 9 topics - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions - Bibliographic references - Includes solutions to problems in the numerical analysis of different material types - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc). This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.
Download or read book Finite Element Bibliography written by Gerard De Vries and published by Springer. This book was released on 1976-12 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thjs bibliography had its inception in 1967, when the compilers first attempted a comprehensive cov erage of the finite element literature using both manual and computer-based retrieval. Initially, the data base was stored on a card index, but this was subsequently transferred to punched cards and magnetic tape. Computer processing was adopted at an early stage to derive the three index formats from the data base. Over the subsequent years, several versions of the bibliography were produced, with two of these being made available in a report form to other researchers. From the widespread interest in these documents, it became evident that there was a need for a commercially-available comprehensive bibliography in this area. A major effort was undertaken to revise, update, and extend the data base, resulting in this present volume. The bibliography covers the period 1956-1975 primarily, although some earlier publications of histori cal interest are included. The citations are not restricted to the English language and documents are listed in many languages and from diverse places of origin. All publication formats were accepted, so that references will be found to books, monographs, journal papers and articles, theses, dissertations, reports, surveys, and the like.
