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A Combined Finite Element Boundary Element Formulation For Solution Of Two Dimensional Problems Via Cgfft
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722128135 Total Pages :56 pages Book Rating :4.1/5 (281 download)
Book Synopsis A Combined Finite Element-Boundary Element Formulation for Solution of Two-Dimensional Problems Via Cgfft by : National Aeronautics and Space Administration (NASA)
Download or read book A Combined Finite Element-Boundary Element Formulation for Solution of Two-Dimensional Problems Via Cgfft written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-13 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method for the computation of electromagnetic scattering from arbitrary two-dimensional bodies is presented. The method combines the finite element and boundary element methods leading to a system for solution via the conjugate gradient Fast Fourier Transform (FFT) algorithm. Two forms of boundaries aimed at reducing the storage requirement of the boundary integral are investigated. It is shown that the boundary integral becomes convolutional when a circular enclosure is chosen, resulting in reduced storage requirement when the system is solved via the conjugate gradient FFT method. The same holds for the ogival enclosure, except that some of the boundary integrals are not convolutional and must be carefully treated to maintain O(N) memory requirement. Results for several circular and ogival structures are presented and shown to be in excellent agreement with those obtained by traditional methods. Collins, Jeffery D. and Jin, Jian-Ming and Volakis, John L. Unspecified Center...
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722891985 Total Pages :154 pages Book Rating :4.8/5 (919 download)
Book Synopsis A Combined Finite Element and Boundary Integral Formulation for Solution Via Cgfft of 2-Dimensional Scattering Problems by : National Aeronautics and Space Administration (NASA)
Download or read book A Combined Finite Element and Boundary Integral Formulation for Solution Via Cgfft of 2-Dimensional Scattering Problems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-17 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new technique is presented for computing the scattering by 2-D structures of arbitrary composition. The proposed solution approach combines the usual finite element method with the boundary integral equation to formulate a discrete system. This is subsequently solved via the conjugate gradient (CG) algorithm. A particular characteristic of the method is the use of rectangular boundaries to enclose the scatterer. Several of the resulting boundary integrals are therefore convolutions and may be evaluated via the fast Fourier transform (FFT) in the implementation of the CG algorithm. The solution approach offers the principle advantage of having O(N) memory demand and employs a 1-D FFT versus a 2-D FFT as required with a traditional implementation of the CGFFT algorithm. The speed of the proposed solution method is compared with that of the traditional CGFFT algorithm, and results for rectangular bodies are given and shown to be in excellent agreement with the moment method. Collins, Jeffery D. and Volakis, John L. Unspecified Center BOUNDARY INTEGRAL METHOD; FAST FOURIER TRANSFORMATIONS; FINITE ELEMENT METHOD; WAVE SCATTERING; ALGORITHMS; COMPUTATIONAL GRIDS; COMPUTER SYSTEMS PERFORMANCE; MEMORY (COMPUTERS); METHOD OF MOMENTS; WAVE EQUATIONS...
Book Synopsis A Combined Finte Element-Boundary Element Formulation for Solution of Axially Symmetric Bodies by : JEFFERY D. COLLINS, JOHN L. VOLAKIS
Download or read book A Combined Finte Element-Boundary Element Formulation for Solution of Axially Symmetric Bodies written by JEFFERY D. COLLINS, JOHN L. VOLAKIS and published by . This book was released on with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Scaled Boundary Finite Element Method by : John P. Wolf
Download or read book The Scaled Boundary Finite Element Method written by John P. Wolf and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Boundary Element Techniques in Engineering by : C. A. Brebbia
Download or read book Boundary Element Techniques in Engineering written by C. A. Brebbia and published by Elsevier. This book was released on 2016-01-29 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Element Techniques in Engineering deals with solutions of two- and three-dimensional problems in elasticity and the potential theory where finite elements are inefficient. The book discusses approximate methods, higher-order elements, elastostatics, time-dependent problems, non-linear problems, and combination of regions. Approximate methods include weighted residual techniques, weak formulations, the inverse formulation, and boundary methods. The text also explains Laplace's equation, indirect formulation, matrix formulation, Poisson's equation, and the Helmholtz equation. It describes how elements with linear variations of u and q (i.e. linear elements) can be developed for two dimensional problems, as well as for quadratic and higher order elements for two-dimensional problems. The text investigates the Dirac delta function as a sum of Eigen functions, including some methods to determine the explicit form of fundamental solutions for recurrent problems. The book also tackles the application of boundary elements to problems with both material and certain types of geometric non-linearities, and also the applications of boundary elements to plasticity problems. The text is ideal for mathematicians, students, and professor of calculus or advanced mathematics.
Download or read book Boundary Element Methods written by Q. Du and published by Elsevier. This book was released on 2014-05-23 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant developments in the boundary element method during the last two decades have made it a powerful alternative to the domain-type numerical methods of solution such as the finite element method. The advances made in the BEM are more or less due to the innovation of efficient computational techniques by introducing boundary elements for discretization of the boundary integral equations resulting from the so-called direct formulation. BEM has therefore become an efficient tool for optimal design and other inverse problems. These proceedings include discussion of the applications of BEM in mechanical engineering and the principles that have developed to make it an increasingly useful method of problem solving.
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frequency Domain Hybrid Finite Element Methods in Electromagnetics by : John Volakis
Download or read book Frequency Domain Hybrid Finite Element Methods in Electromagnetics written by John Volakis and published by Springer Nature. This book was released on 2022-06-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a brief overview of the popular Finite Element Method (FEM) and its hybrid versions for electromagnetics with applications to radar scattering, antennas and arrays, guided structures, microwave components, frequency selective surfaces, periodic media, and RF materials characterizations and related topics. It starts by presenting concepts based on Hilbert and Sobolev spaces as well as Curl and Divergence spaces for generating matrices, useful in all engineering simulation methods. It then proceeds to present applications of the finite element and finite element-boundary integral methods for scattering and radiation. Applications to periodic media, metamaterials and bandgap structures are also included. The hybrid volume integral equation method for high contrast dielectrics and is presented for the first time. Another unique feature of the book is the inclusion of design optimization techniques and their integration within commercial numerical analysis packages for shape and material design. To aid the reader with the method's utility, an entire chapter is devoted to two-dimensional problems. The book can be considered as an update on the latest developments since the publication of our earlier book (Finite Element Method for Electromagnetics, IEEE Press, 1998). The latter is certainly complementary companion to this one.
Author :Tania G.B. DeFigueiredo Publisher :Springer Science & Business Media ISBN 13 :3642845045 Total Pages :210 pages Book Rating :4.6/5 (428 download)
Book Synopsis A New Boundary Element Formulation in Engineering by : Tania G.B. DeFigueiredo
Download or read book A New Boundary Element Formulation in Engineering written by Tania G.B. DeFigueiredo and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1 The Hybrid Displacement Boundary Element Model This work is concerned with the derivation of a numerical model for the solution of boundary-value problems in potential theory and linear elasticity. It is considered a boundary element model because the final integral equation involves some boundary integrals, whose evaluation requires a boundary discretization. Furthermore, all the unknowns are boundary vari ables. The model is completely new; it differs from the classical boundary element formulation ·in the way it is generated and consequently in the fi nal equations. A generalized variational principle is used as a basis for its derivation, whereas the conventional boundary element formulation is based on Green's formula (potential problems) and on Somigliana's identity (elas ticity), or alternatively through the weighted residual technique. 2 The multi-field variational principle which generates the formulation in volves three independent variables. For potential problems, these are the potential in the domain and the potential and its normal derivative on the boundary. In the case of elasticity, these variables are displacements in the domain and displacements and tractions on the boundary. For this reason, by analogy with the assumed displacement hybrid finite element model, ini tially proposed by Tong [1] in 1970, it can be called a hybrid displacement model. The final system of equations to be solved is similar to that found in a stiffness formulation. The stiffness matrix for this model is symmetric and can be evaluated by only performing integrations along the boundary.
Book Synopsis Monthly Catalogue, United States Public Documents by :
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1991 with total page 1644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Combined Finite Element-Boundary Element Formulation for Solution of Axially Symmetric Bodies by Jeffery D. Collins and John L. Volakis by : Jeffery D. Collins
Download or read book A Combined Finite Element-Boundary Element Formulation for Solution of Axially Symmetric Bodies by Jeffery D. Collins and John L. Volakis written by Jeffery D. Collins and published by . This book was released on with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A FINITE ELEMENT - BOUNDARY INTEGAL METHOD FOR SCATTERING AND RADIATION BY TWO - AND THREE DIMENSIONAL STRUCTURES by :
Download or read book A FINITE ELEMENT - BOUNDARY INTEGAL METHOD FOR SCATTERING AND RADIATION BY TWO - AND THREE DIMENSIONAL STRUCTURES written by and published by . This book was released on 1991 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Boundary Element Method with Programming by : Gernot Beer
Download or read book The Boundary Element Method with Programming written by Gernot Beer and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.
Book Synopsis Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem by : Siamak Amini
Download or read book Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem written by Siamak Amini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. The exterior acoustic field is modelled through a boundary integral equation over the structure surface. However, the classical boundary integral equation formulations of this problem either have no solutions or do not have unique solutions at certain characteristic frequencies (which depend on the surface geometry) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies. The particular approach adopted here involves an arbitrary coupling parameter and the effect that this parameter has on the stability and accuracy of the numerical method used to solve the integral equation is examined. The boundary integral analysis of the exterior acoustic problem is coupled with a finite element analysis of the elastic structure in order to investigate the interaction between the dynamic behaviour of the structure and the associated acoustic field. Recently there has been some controversy over whether or not the coupled problem also suffers from the non-uniqueness problems associated with the classical integral equation formulations of the exterior acoustic problem. This question is resolved by demonstrating that .the solution to the coupled problem is not unique at the characteristic frequencies and that it is necessary to employ an integral equation formulation valid for all frequencies.
Author :IEEE Antennas and Propagation Society Publisher :Institute of Electrical & Electronics Engineers(IEEE) ISBN 13 : Total Pages :560 pages Book Rating :4.F/5 ( download)
Book Synopsis Finite Elements for Wave Electromagnetics by : IEEE Antennas and Propagation Society
Download or read book Finite Elements for Wave Electromagnetics written by IEEE Antennas and Propagation Society and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1994 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Electromagnetics and Its Applications by : Thomas G. Campbell
Download or read book Computational Electromagnetics and Its Applications written by Thomas G. Campbell and published by Springer. This book was released on 1997-09-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the first ICASE/LaRC Work shop on Computational Electromagnetics and Its Applications conducted by the Institute for Computer Applications in Science and Engineering and NASA Langley Research Center. We had several goals in mind when we decided, jointly with the Elec tromagnetics Research Branch, to organize this workshop on Computa tional Electromagnetics ( CEM). Among our goals were a desire to obtain an overview of the current state of CEM, covering both algorithms and ap plications and their effect on NASA's activities in this area. In addition, we wanted to provide an attractive setting for computational scientists with expertise in other fields, especially computational fluid dynamics (CFD), to observe the algorithms and tools of CEM at work. Our expectation was that scientists from both fields would discover mutually beneficial inter connections and relationships. Another goal was to learn of progress in solution algorithms for electromagnetic optimization and design problems; such problems make extensive use of field solvers and computational effi ciency is at a premium. To achieve these goals we assembled the renowned group of speakers from academia and industry whose talks are contained in this volume. The papers are printed in the same order in which the talks were pre sented at the meeting. The first paper is an overview of work currently being performed in the Electromagnetic Research Branch at the Langley Research Center.
