Trefftz And Fundamental Solution Based Finite Element Methods

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Trefftz And Fundamental Solution Based Finite Element Methods
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Author : Qing-Hua Qin
language : en
Publisher: Bentham Science Publishers
Release Date : 2021-09-07
Trefftz And Fundamental Solution Based Finite Element Methods written by Qing-Hua Qin and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-07 with Mathematics categories.
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.
Matlab And C Programming For Trefftz Finite Element Methods
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Author : Qing-Hua Qin
language : en
Publisher: CRC Press
Release Date : 2008-07-21
Matlab And C Programming For Trefftz Finite Element Methods written by Qing-Hua Qin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-21 with Mathematics categories.
Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in t
Methods Of Fundamental Solutions In Solid Mechanics
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Author : Hui Wang
language : en
Publisher: Elsevier
Release Date : 2019-06-06
Methods Of Fundamental Solutions In Solid Mechanics written by Hui Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-06 with Technology & Engineering categories.
Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. - Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer - Extends the application of the MFS for use with complex problems - Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer - Gives detailed solution procedures for engineering problems - Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges
Current Trends In Mathematical Analysis And Its Interdisciplinary Applications
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Author : Hemen Dutta
language : en
Publisher: Springer Nature
Release Date : 2019-08-23
Current Trends In Mathematical Analysis And Its Interdisciplinary Applications written by Hemen Dutta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-23 with Mathematics categories.
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.
Ophthalmological Imaging And Applications
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Author : E. Y. K. Ng
language : en
Publisher: CRC Press
Release Date : 2014-05-05
Ophthalmological Imaging And Applications written by E. Y. K. Ng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Technology & Engineering categories.
Edited by and featuring contributions from world-class researchers, Ophthalmological Imaging and Applications offers a unified work of the latest human eye imaging and modeling techniques that have been proposed and applied to the diagnosis of ophthalmologic problems, including inflammation, cataracts, diabetic retinopathy, and glaucoma. With a focus on theory, basic principles, and results derived from research, the book: Explores various morphological, textural, higher-order spectral, and wavelet transformation techniques used to extract salient features from images of the human eye Examines 2D and 3D finite element and boundary element models of the human eye developed to simulate thermal steady-state conditions Addresses the difficult task of benchmarking the validity of human eye imaging techniques and computer-simulated results with experimental measurements Intended to be a companion to Image Analysis and Modeling in Ophthalmology, this volume covers several aspects of multimodal ophthalmological imaging and applications, presenting information in an accessible manner to appeal to a wide audience of students, researchers, and practitioners. Ophthalmological Imaging and Applications considers promising simulations that pave the way for new possibilities in computational methods for eye health care.
Radial Basis Function Methods For Large Scale Wave Propagation
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Author : Jun-Pu Li
language : en
Publisher: Bentham Science Publishers
Release Date : 2021-12-24
Radial Basis Function Methods For Large Scale Wave Propagation written by Jun-Pu Li and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-24 with Science categories.
This book details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of the basic concept of radial function method with chapters progressively delving into the derivation and construction of radial basis functions for large-scale wave propagation problems including singularity problems, high-frequency wave problems and large-scale computation problems. This reference, written by experts in numerical analysis, demonstrates how the functions arise naturally in mathematical analyses of structures responding to external loads. Readers are also equipped with mathematical knowledge about the radial basis function for understanding key algorithms required for practical solutions. Key features: - Introduces basic concepts of radial basis function methods - Provides detailed derivations of several radial basis functions - Explains complex problems using simple language - Contains a wide range of numerical examples to demonstrate applications of relevant functions - Combines the radial basis function with other known numerical methods (boundary element methods and differential equations). - Includes references and appropriate chapter appendices - Includes MATLAB codes for origin intensity factors and nearly singular factors for radial basis calculations The book is designed to make information about radial basis function methods more accessible to research scientists, professional engineers and postgraduate students, with a specific focus on large-scale wave propagation problems.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1973
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mechanics, Applied categories.
Boundary Elements And Other Mesh Reduction Methods Xxxvi
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Author : X. W. Gao
language : en
Publisher: WIT Press
Release Date : 2013-12-11
Boundary Elements And Other Mesh Reduction Methods Xxxvi written by X. W. Gao and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
The Conference on Boundary Elements and Mesh Reduction Methods (BEM/MRM) is recognised as the international forum for the latest advances in these techniques and their applications in science and engineering. Launched in 1978 the Conference continues to attract original contributions and has become the forum for their rapid dissemination throughout the international scientific community. Practically all new boundary element ideas have first appeared in the proceedings of these meetings.
The Seventh International Conference On Vibration Problems Icovp 2005
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Author : Esin Inan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-20
The Seventh International Conference On Vibration Problems Icovp 2005 written by Esin Inan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-20 with Science categories.
The Seventh International Conference on Vibration Problems (ICOVP-2005) took ? place in S ̧ile Campus of Is ̧?k University, Istanbul, Turkey, between the dates 5- 9 September 2005. First ICOVP was held during October 27-30, 1990 at A. C. College, Jalpaiguri under the co-Chairmanship of two scientists, namely, Prof- sor M. M. Banerjee from the host Institution and Professor P. Biswas from the sister organization, A. C. College of Commerce, in the name of “International Conference on Vibration Problems of Mathematics and Physics”. The title of the Conference was changed to the present one during the third conference. The Conferences of these series are: 1. ICOVP-1990, 20-23 October-1990, A. C. College, Jalpaiguri- India 2. ICOVP-1993, 4-7 November 1993, A. C. College, Jalpaiguri- India 3. ICOVP-1996, 27-29 November 1996, University of North Bengal, India 4. ICOVP-1999, 27-30 November 1999, Jadavpur University, West Bangal, India 5. ICOVP-2001, 8-10 October 2001, (IMASH), Moscow, Russia 6. ICOVP-2003, 8-12 September 2003, Tech. Univ. of Liberec, Czech Republic ? 7. ICOVP-2005, 5-9 September 2005, Is ̧?k University, S ̧ile, Istanbul, Turkey The General Lecturers of ICOVP-2005 have been personally invited by the Int- national Scienti?c Committee, which this time comprised the following members: ̈ ? Nuri AKKAS ̧ (Turkey), Yalc?n ̧ AKOZ (Turkey), Orhan AKSOGAN (Turkey), Fikret BALTA (Turkey), M. M. BANERJEE (India), Victor BIRMAN (USA), ? Paritosh BISWAS (India), Bikas K.
Electrical Power Energy Systems
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Author : Jin Yue Yan
language : en
Publisher: Trans Tech Publications Ltd
Release Date : 2012-05-14
Electrical Power Energy Systems written by Jin Yue Yan and has been published by Trans Tech Publications Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-14 with Technology & Engineering categories.
Selected, peer reviewed papers from the 2012 International Conference on Energy and Environmental Protection (ICEEP 2012), June 23-24, 2012, Hohhot, China