On Practical Modifications To The Barnes Hut Multipole Method For Electromagnetic Scattering
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Release | : 1998 |
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Download On Practical Modifications to the Barnes-Hut Multipole Method for Electromagnetic Scattering Book in PDF, Epub and Kindle
This paper presents a simple methodology for quickly predicting and optimizing computer run time for the Barnes-Hut multipole method for boundary element electromagnetic scattering problems. The methodology is easily extended to other multipole methods (e.g., Greengard-Rokhlin) and to other physics. The idea is to simply COZM t the number of element-cell interactions, number of direct element- element interactions, and the number of cell multipole expansion creations (each expansion weighted by the number of elements in the cell), and then finally combine these three results with the associated unit costs to obtain the total computer :un-time to perform a single matrix-vector multiply. By counting operations instead of actually performing them, the time to predict the computer run time is orders of magnitude smaller than the time to actually perform the associated calculations. This allows for very quick optimization of parameters, such as the maximum number of elements in a final generation cell of the tree. Numerical examples are presented herein in which the rate of return (time saved over time spent finding optimal parameter values) is significantly more than two orders of magnitude.
Author | : Özgür Salih Ergül |
Publisher | : |
Total Pages | : 328 |
Release | : 2003 |
Genre | : Electromagnetic theory |
ISBN | : |
Download Fast Multipole Method for the Solution of Electromagnetic Scattering Problems Book in PDF, Epub and Kindle
Author | : Ozgur Ergul |
Publisher | : John Wiley & Sons |
Total Pages | : 484 |
Release | : 2014-04-22 |
Genre | : Science |
ISBN | : 1118844912 |
Download The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems Book in PDF, Epub and Kindle
The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetic Problems provides a detailed and instructional overview of implementing MLFMA. The book: Presents a comprehensive treatment of the MLFMA algorithm, including basic linear algebra concepts, recent developments on the parallel computation, and a number of application examples Covers solutions of electromagnetic problems involving dielectric objects and perfectly-conducting objects Discusses applications including scattering from airborne targets, scattering from red blood cells, radiation from antennas and arrays, metamaterials etc. Is written by authors who have more than 25 years experience on the development and implementation of MLFMA The book will be useful for post-graduate students, researchers, and academics, studying in the areas of computational electromagnetics, numerical analysis, and computer science, and who would like to implement and develop rigorous simulation environments based on MLFMA.
Author | : Yijun Liu |
Publisher | : Cambridge University Press |
Total Pages | : 255 |
Release | : 2009-08-24 |
Genre | : Technology & Engineering |
ISBN | : 113947944X |
Download Fast Multipole Boundary Element Method Book in PDF, Epub and Kindle
The fast multipole method is one of the most important algorithms in computing developed in the 20th century. Along with the fast multipole method, the boundary element method (BEM) has also emerged as a powerful method for modeling large-scale problems. BEM models with millions of unknowns on the boundary can now be solved on desktop computers using the fast multipole BEM. This is the first book on the fast multipole BEM, which brings together the classical theories in BEM formulations and the recent development of the fast multipole method. Two- and three-dimensional potential, elastostatic, Stokes flow, and acoustic wave problems are covered, supplemented with exercise problems and computer source codes. Applications in modeling nanocomposite materials, bio-materials, fuel cells, acoustic waves, and image-based simulations are demonstrated to show the potential of the fast multipole BEM. Enables students, researchers, and engineers to learn the BEM and fast multipole method from a single source.
Author | : Mario Bebendorf |
Publisher | : Springer Science & Business Media |
Total Pages | : 303 |
Release | : 2008-06-25 |
Genre | : Mathematics |
ISBN | : 3540771476 |
Download Hierarchical Matrices Book in PDF, Epub and Kindle
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.
Author | : Michael I. Mishchenko |
Publisher | : Cambridge University Press |
Total Pages | : 562 |
Release | : 2002-06-06 |
Genre | : Science |
ISBN | : 9780521782524 |
Download Scattering, Absorption, and Emission of Light by Small Particles Book in PDF, Epub and Kindle
A thorough and up-to-date treatment of electromagnetic scattering by small particles.
Author | : Nail A Gumerov |
Publisher | : Elsevier |
Total Pages | : 551 |
Release | : 2005-01-27 |
Genre | : Mathematics |
ISBN | : 0080531598 |
Download Fast Multipole Methods for the Helmholtz Equation in Three Dimensions Book in PDF, Epub and Kindle
This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation
Author | : Hans-Joachim Bungartz |
Publisher | : Springer Nature |
Total Pages | : 624 |
Release | : 2020-07-30 |
Genre | : Computers |
ISBN | : 3030479560 |
Download Software for Exascale Computing - SPPEXA 2016-2019 Book in PDF, Epub and Kindle
This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.
Author | : Sir John Townsend |
Publisher | : |
Total Pages | : 112 |
Release | : 1910 |
Genre | : Electric conductivity |
ISBN | : |
Download The Theory of Ionization of Gases by Collision Book in PDF, Epub and Kindle
Author | : Francois Pomerleau |
Publisher | : |
Total Pages | : 122 |
Release | : 2015-05-27 |
Genre | : Technology & Engineering |
ISBN | : 9781680830248 |
Download A Review of Point Cloud Registration Algorithms for Mobile Robotics Book in PDF, Epub and Kindle
Deals with the topic of geometric registration in robotics. It provides a historical perspective of the registration problem and shows that the various solutions available can be organized and differentiated in a framework according to a few elements. It also reviews a few applications of this framework in mobile robotics.