Fast Multipole Boundary Element Method
Title | Fast Multipole Boundary Element Method PDF eBook |
Author | Yijun Liu |
Publisher | Cambridge University Press |
Total Pages | 255 |
Release | 2009-08-24 |
Genre | Technology & Engineering |
ISBN | 113947944X |
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.
Brain and Human Body Modeling 2020
Title | Brain and Human Body Modeling 2020 PDF eBook |
Author | Sergey N. Makarov |
Publisher | Springer Nature |
Total Pages | 395 |
Release | 2021 |
Genre | Biomedical engineering |
ISBN | 3030456234 |
The 41st Annual International Conference of the IEEE EMBS, took place between July 23 and 27, 2019, in Berlin, Germany. The focus was on "Biomedical engineering ranging from wellness to intensive care." This conference provided an opportunity for researchers from academia and industry to discuss a variety of topics relevant to EMBS and hosted the 4th Annual Invited Session on Computational Human Models. At this session, a bevy of research related to the development of human phantoms was presented, together with a substantial variety of practical applications explored through simulation.
Fast Multipole Methods for the Helmholtz Equation in Three Dimensions
Title | Fast Multipole Methods for the Helmholtz Equation in Three Dimensions PDF eBook |
Author | Nail A Gumerov |
Publisher | Elsevier |
Total Pages | 551 |
Release | 2005-01-27 |
Genre | Mathematics |
ISBN | 0080531598 |
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
A Fast Multipole Boundary Element Method and Its Application in Diffusion Problems
Title | A Fast Multipole Boundary Element Method and Its Application in Diffusion Problems PDF eBook |
Author | Bo Wang |
Publisher | |
Total Pages | 74 |
Release | 2012 |
Genre | Boundary element methods |
ISBN |
Fast Multipole Boundary Element Method
Title | Fast Multipole Boundary Element Method PDF eBook |
Author | Yijun Liu |
Publisher | Cambridge University Press |
Total Pages | 255 |
Release | 2009-08-24 |
Genre | Mathematics |
ISBN | 0521116597 |
First book on the fast multipole BEM, bringing together classical theory in BEM formulations and the fast multipole method.
The Fast Multipole Boundary Element Method and Its Application to Structure-acoustic Field Interaction
Title | The Fast Multipole Boundary Element Method and Its Application to Structure-acoustic Field Interaction PDF eBook |
Author | Matthias Fischer |
Publisher | |
Total Pages | 0 |
Release | 2004 |
Genre | |
ISBN |
Implementation of the Fast Multipole Boundary Element Method (FMBEM) for Sound Field Calculations
Title | Implementation of the Fast Multipole Boundary Element Method (FMBEM) for Sound Field Calculations PDF eBook |
Author | Sune Grau Ellegaard |
Publisher | |
Total Pages | |
Release | |
Genre | |
ISBN |