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.
Numerical Modeling Of Coupled Phenomena In Science And Engineering
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Author : Mario César Suárez Arriaga
language : en
Publisher: CRC Press
Release Date : 2008-12-01
Numerical Modeling Of Coupled Phenomena In Science And Engineering written by Mario César Suárez Arriaga and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-01 with Technology & Engineering categories.
Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont
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.
Domain Decomposition Techniques For Boundary Elements
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Author : L. Škerget
language : en
Publisher: WIT Press
Release Date : 2007
Domain Decomposition Techniques For Boundary Elements written by L. Škerget 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.
The sub-domain techniques in the BEM are nowadays finding its place in the toolbox of numerical modellers, especially when dealing with complex 3D problems. We see their main application in conjunction with the classical BEM approach, which is based on a single domain, when part of the domain needs to be solved using a single domain approach, the classical BEM, and part needs to be solved using a domain approach. This has usually been done in the past by coupling the BEM with the FEM, however, it is much more efficient to use a combination of the BEM and a BEM sub-domain technique. The advantage arises from the simplicity of coupling the single domain and multi-domain solutions, and from the fact that only one formulation needs to be developed, rather than two separate formulations based on different techniques. There are still possibilities for improving the BEM sub-domain techniques. However, considering the increased interest and research in this approach we believe that BEM sub-domain techniques will become a logical choice in the future substituting the FEM whenever an efficient solution requires coupling of the BEM with a domain technique.
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 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.
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 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.
Boundary Elements And Other Mesh Reduction Methods Twenty Eight
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Author : C. A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2006
Boundary Elements And Other Mesh Reduction Methods Twenty Eight 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 2006 with Mathematics categories.
This volume contains papers from the World Conference on Boundary Elements and other Mesh Reduction Methods, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in addition to those of a more theoretical nature. Engineers and scientists within the areas of numerical analysis, boundary elements and meshless methods will find the text invaluable. Topics include: Advances in Mesh Reduction Methods; Meshless Techniques; Advanced Formulations; Dual Reciprocity Method; Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Structural Applications; Dynamics and Vibrations; Material Characterization; Acoustics; Electrical Engineering and Electromagnetics; Heat and Mass Transfer; Fluid Mechanics Problems; Wave Propagation; Inverse Problems and Computational Techniques.