Trefftz and Collocation Methods
| Author | : Z-C. Li |
| Publisher | : WIT Press |
| Total Pages | : 433 |
| Release | : 2008-02-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1845641531 |
This title was reviewed in the January 2009 issue of Mathematical Reviews.
Trefftz And Collocation Methods
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Boundary Collocation Techniques and their Application in Engineering
| Author | : J.A. Kołodziej |
| Publisher | : WIT Press |
| Total Pages | : 337 |
| Release | : 2009-10-01 |
| Genre | : Mathematics |
| ISBN | : 1845643941 |
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
| Author | : Qing-Hua Qin |
| Publisher | : CRC Press |
| Total Pages | : 464 |
| Release | : 2008-07-21 |
| Genre | : Mathematics |
| ISBN | : 1420072765 |
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
Trefftz and Fundamental Solution-Based Finite Element Methods
| Author | : Qing-Hua Qin |
| Publisher | : Bentham Science Publishers |
| Total Pages | : 357 |
| Release | : 2021-09-07 |
| Genre | : Mathematics |
| ISBN | : 9814998559 |
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.
Advanced Mechanics of Piezoelectricity
| Author | : Qinghua Qin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 339 |
| Release | : 2012-11-29 |
| Genre | : Technology & Engineering |
| ISBN | : 3642297676 |
"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.
Recent Advances in Radial Basis Function Collocation Methods
| Author | : Wen Chen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 98 |
| Release | : 2013-11-09 |
| Genre | : Technology & Engineering |
| ISBN | : 3642395724 |
This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently free of integration and mesh, and avoid tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems. Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need. Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi.
Numerical Modeling of Coupled Phenomena in Science and Engineering
| Author | : Mario César Suárez Arriaga |
| Publisher | : CRC Press |
| Total Pages | : 496 |
| Release | : 2008-12-01 |
| Genre | : Technology & Engineering |
| ISBN | : 0203886224 |
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
Methods of Fundamental Solutions in Solid Mechanics
| Author | : Hui Wang |
| Publisher | : Elsevier |
| Total Pages | : 314 |
| Release | : 2019-06-06 |
| Genre | : Technology & Engineering |
| ISBN | : 0128182849 |
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
