Trefftz And Collocation Methods
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Trefftz And Collocation Methods
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Author : Z-C. Li
language : en
Publisher: WIT Press
Release Date : 2008-02-22
Trefftz And Collocation Methods written by Z-C. Li and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-22 with Technology & Engineering categories.
This title was reviewed in the January 2009 issue of Mathematical Reviews.
Boundary Collocation Techniques And Their Application In Engineering
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Author : J.A. Kołodziej
language : en
Publisher: WIT Press
Release Date : 2009-10-01
Boundary Collocation Techniques And Their Application In Engineering written by J.A. Kołodziej and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-01 with Mathematics categories.
Methods of mathematical modelling applied in contemporary computational mechanics can be divided into purely numerical and analytical-numerical procedures. In this book, the first part is a general presentation of the boundary collocation approach and its numerous variants and in the second part the method is applied to many engineering problems.
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
Boundary Elements And Other Mesh Reduction Methods Xxix
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Author : C. A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2007
Boundary Elements And Other Mesh Reduction Methods Xxix written by C. A. Brebbia and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book contains the edited proceedings of the 29th World Conference on Boundary Elements and Other Mesh Reduction Methods, an internationally recognised forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The range of topics included in this volume are as follows: Advances in Mesh Reduction; Meshless Methods Techniques; Dual Reciprocity Method, Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Stress Analysis and Structural Applications; Plates and Shells; Dynamics and Vibrations; Material Characterisation; Acoustics; Heat and mass Transfer; Fluid Mechanics Applications; Wave Propagation; Inverse Problems and Computational Techniques.
An Introduction To The Method Of Fundamental Solutions
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Author : Alexander H-d Cheng
language : en
Publisher: World Scientific
Release Date : 2025-03-11
An Introduction To The Method Of Fundamental Solutions written by Alexander H-d Cheng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-11 with Mathematics categories.
Over the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in the governing partial differential equation.One of the main attractions of the MFS is the simplicity with which it can be applied to the solution of boundary value problems in complex geometries in two and three dimensions. The method is also known by many different names in the literature such as the charge simulation method, the de-singularization method, the virtual boundary element method, etc.Despite its effectiveness, the original version of the MFS is confined to solving boundary value problems governed by homogeneous partial differential equations. To address this limitation, we introduce various types of particular solutions to extend the method to solving general inhomogeneous boundary value problems employing the method of particular solutions.This book consists of two parts. Part I aims to provide theoretical support for beginners. In the spirit of reproducible research and to facilitate the understanding of the method and its implementation, several MATLAB codes have been included in Part II.This book is highly recommended for use by post-graduate researchers and graduate students in scientific computing and engineering.
Boundary Elements And Other Mesh Reduction Methods Xlv
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Author : A. H.-D. Cheng
language : en
Publisher: WIT Press
Release Date : 2022-07-25
Boundary Elements And Other Mesh Reduction Methods Xlv written by A. H.-D. Cheng and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-25 with Mathematics categories.
Advances in techniques that reduce or eliminate the type of meshes associated with finite elements or finite differences are reported in the papers that form this volume. As design, analysis and manufacture become more integrated, the chances are that software users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily within the aforementioned integrated process. The maturity of BEM since 1978 has resulted in a substantial number of industrial applications of the method; this demonstrates its accuracy, robustness and ease of use. The range of applications still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. The included papers originate from the 45th conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM) and describe theoretical developments and new formulations, helping to expand the range of applications as well as the type of modelled materials in response to the requirements of contemporary industrial and professional environments.
Advanced Mechanics Of Piezoelectricity
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Author : Qinghua Qin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-29
Advanced Mechanics Of Piezoelectricity written by Qinghua Qin 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 2012-11-29 with Technology & Engineering categories.
"Advanced Mechanics of Piezoelectricity" presents a comprehensive treatment of piezoelectric materials using linear electroelastic theory, symplectic models, and Hamiltonian systems. It summarizes the current state of practice and presents the most recent research findings in piezoelectricity. It is intended for researchers and graduate students in the fields of applied mechanics, material science and engineering, computational engineering, and aerospace engineering. Dr. Qinghua Qin is a professor at the School of Engineering, Australian National University, Australia.
Numerical Methods For Diffusion Phenomena In Building Physics
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Author : Nathan Mendes
language : en
Publisher: Springer Nature
Release Date : 2019-11-29
Numerical Methods For Diffusion Phenomena In Building Physics written by Nathan Mendes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-29 with Science categories.
This book is the second edition of Numerical methods for diffusion phenomena in building physics: a practical introduction originally published by PUCPRESS (2016). It intends to stimulate research in simulation of diffusion problems in building physics, by providing an overview of mathematical models and numerical techniques such as the finite difference and finite-element methods traditionally used in building simulation tools. Nonconventional methods such as reduced order models, boundary integral approaches and spectral methods are presented, which might be considered in the next generation of building-energy-simulation tools. In this reviewed edition, an innovative way to simulate energy and hydrothermal performance are presented, bringing some light on innovative approaches in the field.
Boundary Elements And Other Mesh Reduction Methods Xxxviii
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Author : A.H-D. Cheng
language : en
Publisher: WIT Press
Release Date : 2015-11-16
Boundary Elements And Other Mesh Reduction Methods Xxxviii written by A.H-D. Cheng and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-16 with Mathematics categories.
Containing the latest in a long line of conferences covering the most recent advances in Boundary Elements and Mesh Reduction Methods (BEM/MRM), this book contains an important chapter in the history of this important method used in science and engineering. The BEM/MRM conference has long been recognised as THE international forum on the technique. The proceedings of the conference therefore constitute a record of the development of the method, running from the initial successful development of boundary integral techniques into the BEM, a method that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since the boundary elements, mesh reduction, and meshless methods are used in many engineering and scientific fields, the book will be of great interest to all engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Topics covered include: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer, Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and Vibrations Engineering applications.
Modelling Of Hydrated Soft Tissues Using Hybrid Trefftz Finite Elements
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Author :
language : en
Publisher: Milan Toma
Release Date :
Modelling Of Hydrated Soft Tissues Using Hybrid Trefftz Finite Elements written by and has been published by Milan Toma this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.