Academic literature on the topic 'Fast multipolar method'
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Journal articles on the topic "Fast multipolar method":
Makino, Junichiro. "Yet Another Fast Multipole Method without Multipoles—Pseudoparticle Multipole Method." Journal of Computational Physics 151, no. 2 (May 1999): 910–20. http://dx.doi.org/10.1006/jcph.1999.6226.
Gu, Kaihao, Yiheng Wang, Shengjie Yan, and Xiaomei Wu. "Modeling Analysis of Thermal Lesion Characteristics of Unipolar/Bipolar Ablation Using Circumferential Multipolar Catheter." Applied Sciences 10, no. 24 (December 18, 2020): 9081. http://dx.doi.org/10.3390/app10249081.
Anderson, Christopher R. "An Implementation of the Fast Multipole Method without Multipoles." SIAM Journal on Scientific and Statistical Computing 13, no. 4 (July 1992): 923–47. http://dx.doi.org/10.1137/0913055.
Sun, Yingchao, Zailin Yang, Lei Chen, and Duanhua Mao. "Scattering of a scalene trapezoidal hill with a shallow cavity to SH waves." Journal of Mechanics 38 (2022): 88–111. http://dx.doi.org/10.1093/jom/ufac010.
Sahary, Fitry Taufiq, Rizal Mutaqin, Ghani Mutaqin, and Dwi Shinta Dharmopadni. "Transformation of Indonesian Army Personnel to Produce Experts Soldiers in the Field of Technology." Jurnal Pertahanan: Media Informasi ttg Kajian & Strategi Pertahanan yang Mengedepankan Identity, Nasionalism & Integrity 9, no. 1 (April 30, 2023): 167. http://dx.doi.org/10.33172/jp.v9i1.3264.
Greengard, L., and S. Wandzura. "Fast Multipole Methods." IEEE Computational Science and Engineering 5, no. 3 (July 1998): 16–18. http://dx.doi.org/10.1109/mcse.1998.714588.
Létourneau, Pierre-David, Cristopher Cecka, and Eric Darve. "Generalized fast multipole method." IOP Conference Series: Materials Science and Engineering 10 (June 1, 2010): 012230. http://dx.doi.org/10.1088/1757-899x/10/1/012230.
TANAKA, Masataka, and Jianming ZHANG. "406 ADVANCED SIMULATION OF CNT COMPOSITES BY A FAST MULTIPOLE HYBRID BOUNDARY NODE METHOD." Proceedings of The Computational Mechanics Conference 2005.18 (2005): 535–36. http://dx.doi.org/10.1299/jsmecmd.2005.18.535.
Vedovato, G., E. Milotti, G. A. Prodi, S. Bini, M. Drago, V. Gayathri, O. Halim, et al. "Minimally-modeled search of higher multipole gravitational-wave radiation in compact binary coalescences." Classical and Quantum Gravity 39, no. 4 (January 24, 2022): 045001. http://dx.doi.org/10.1088/1361-6382/ac45da.
Schanz, Martin. "Fast multipole method for poroelastodynamics." Engineering Analysis with Boundary Elements 89 (April 2018): 50–59. http://dx.doi.org/10.1016/j.enganabound.2018.01.014.
Dissertations / Theses on the topic "Fast multipolar method":
Poirier, Yohan. "Contribution à l'accélération d'un code de calcul des interactions vagues/structures basé sur la théorie potentielle instationnaire des écoulements à surface libre." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0042.
Numerous numerical methods have been developed to model and study the interactions between waves and structures. The most commonly used are those based on potential free-surface flow theory. In the Weak-Scatterer approach, the free-surface boundary conditions are linearized with respect to the position of the incident wave, so the disturbances on the wave must be of low amplitude compared to the incident wave, but no assumptions are made about the motion of the bodies and the amplitude of the incident wave, thus increasing the scope of application. When this approach is coupled with a boundary element method, it is necessary to construct and solve a dense linear system at each time iteration. The high spatial complexity of these steps limits the use of this method to relatively small systems. This thesis aims to reduce this constraint by implementing methods for accelerating calculations. It is shown that the use of the multipole method reduces the spatial complexity in time and memory space associated with solving the linear system, making it possible to study larger systems. Several preconditioning methods have been studied in order to reduce the number of iterations required to find the solution to the system using an iterative solver. In contrast to the fast multiparallelization method, the Parareal time parallelization method can, in principle, accelerate the entire simulation. We show that it speeds up calculation times in the case of fixed floats free in the swell, but that the acceleration factor decreases rapidly with the camber of the swell
Chandramowlishwaran, Aparna. "The fast multipole method at exascale." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50388.
Ridderstolpe, Ludwig. "Multithreading in adaptive fast multipole methods." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-452393.
Yoshida, Kenichi. "Applications of Fast Multipole Method to Boundary Integral Equation Method." Kyoto University, 2001. http://hdl.handle.net/2433/150672.
Gutting, Martin. "Fast multipole methods for oblique derivative problems." Aachen Shaker, 2007. http://d-nb.info/988919346/04.
PEIXOTO, HELVIO DE FARIAS COSTA. "A FAST MULTIPOLE METHOD FOR HIGH ORDER BOUNDARY ELEMENTS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2018. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=34740@1.
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO
BOLSA NOTA 10
Desde a década de 1990, o Método Fast Multipole (FMM) tem sido usado em conjunto com o Métodos dos Elementos de Contorno (BEM) para a simulação de problemas de grande escala. Este método utiliza expansões em série de Taylor para aglomerar pontos da discretização do contorno, de forma a reduzir o tempo computacional necessário para completar a simulação. Ele se tornou uma ferramenta bastante importante para os BEMs, pois eles apresentam matrizes cheias e assimétricas, o que impossibilita a utilização de técnicas de otimização de solução de sistemas de equação. A aplicação do FMM ao BEM é bastante complexa e requer muita manipulação matemática. Este trabalho apresenta uma formulação do FMM que é independente da solução fundamental utilizada pelo BEM, o Método Fast Multipole Generalizado (GFMM), que se aplica a elementos de contorno curvos e de qualquer ordem. Esta característica é importante, já que os desenvolvimentos de fast multipole encontrados na literatura se restringem apenas a elementos constantes. Todos os aspectos são abordados neste trabalho, partindo da sua base matemática, passando por validação numérica, até a solução de problemas de potencial com muitos milhões de graus de liberdade. A aplicação do GFMM a problemas de potencial e elasticidade é discutida e validada, assim como os desenvolvimentos necessários para a utilização do GFMM com o Método Híbrido Simplificado de Elementos de Contorno (SHBEM). Vários resultados numéricos comprovam a eficiência e precisão do método apresentado. A literatura propõe que o FMM pode reduzir o tempo de execução do algoritmo do BEM de O(N2) para O(N), em que N é o número de graus de liberdade do problema. É demonstrado que esta redução é de fato possível no contexto do GFMM, sem a necessidade da utilização de qualquer técnica de otimização computacional.
The Fast Multipole Method (FMM) has been used since the 1990s with the Boundary Elements Method (BEM) for the simulation of large-scale problems. This method relies on Taylor series expansions of the underlying fundamental solutions to cluster the nodes on the discretised boundary of a domain, aiming to reduce the computational time required to carry out the simulation. It has become an important tool for the BEMs, as they present matrices that are full and nonsymmetric, so that the improvement of storage allocation and execution time is not a simple task. The application of the FMM to the BEM ends up with a very intricate code, and usually changing from one problem s fundamental solution to another is not a simple matter. This work presents a kernel-independent formulation of the FMM, here called the General Fast Multipole Method (GFMM), which is also able to deal with high order, curved boundary elements in a straightforward manner. This is an important feature, as the fast multipole implementations reported in the literature only apply to constant elements. All necessary aspects of this method are presented, starting with the mathematical basics of both FMM and BEM, carrying out some numerical assessments, and ending up with the solution of large potential problems. The application of the GFMM to both potential and elasticity problems is discussed and validated in the context of BEM. Furthermore, the formulation of the GFMM with the Simplified Hybrid Boundary Elements Method (SHBEM) is presented. Several numerical assessments show that the GFMM is highly efficient and may be as accurate as arbitrarily required, for problems with up to many millions of degrees of freedom. The literature proposes that the FMM is capable of reducing the time complexity of the BEM algorithms from O(N2) to O(N), where N is the number of degrees of freedom. In fact, it is shown that the GFMM is able to arrive at such time reduction without resorting to techniques of computational optimisation.
Tang, Zhihui. "Fast transforms based on structured matrices with applications to the fast multipole method." College Park, Md. : University of Maryland, 2003. http://hdl.handle.net/1903/142.
Thesis research directed by: Applied Mathematics and Scientific Computation Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
BAPAT, MILIND SHRIKANT. "FAST MULTIPOLE BOUNDARY ELEMENT METHOD FOR SOLVING TWO-DIMENSIONAL ACOUSTIC WAVE PROBLEMS." University of Cincinnati / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1163773308.
Li, Yuxiang. "A Fast Multipole Boundary Element Method for Solving Two-dimensional Thermoelasticity Problems." University of Cincinnati / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1397477834.
MITRA, KAUSIK PRADIP. "APPLICATION OF MULTIPOLE EXPANSIONS TO BOUNDARY ELEMENT METHOD." University of Cincinnati / OhioLINK, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1026411773.
Books on the topic "Fast multipolar method":
Liu, Yijun. Fast multipole boundary element method: Theory and applications in engineering. Cambridge: Cambridge University Press, 2009.
Gumerov, Nail A. Fast multipole methods for the Helmholtz equation in three dimensions. Amsterdam: Elsevier, 2004.
Greenbaum, Anne. Parallelizing the adaptive fast multipole method on a shared memory MIMD machine. New York: Courant Institute of Mathematical Sciences, New York University, 1989.
Anisimov, Victor, and James J. P. Stewart. Introduction to the Fast Multipole Method. CRC Press, 2019. http://dx.doi.org/10.1201/9780429063862.
Stewart, James J. P., and Victor Anisimov. Introduction to the Fast Multipole Method. Taylor & Francis Group, 2019.
Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2010.
Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2009.
Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2009.
Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2009.
Liu, Yijun. Fast Multipole Boundary Element Method: Theory And Applications In Engineering. Cambridge University Press, 2014.
Book chapters on the topic "Fast multipolar method":
Martinsson, Per-Gunnar. "Fast Multipole Methods." In Encyclopedia of Applied and Computational Mathematics, 498–508. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_448.
Gibson, Walton C. "The Fast Multipole Method." In The Method of Moments in Electromagnetics, 389–452. 3rd ed. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9780429355509-11.
Möller, Nathalie, Eric Petit, Quentin Carayol, Quang Dinh, and William Jalby. "Scalable Fast Multipole Method for Electromagnetic Simulations." In Lecture Notes in Computer Science, 663–76. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-22741-8_47.
Nöttgen, Hannah, Fabian Czappa, and Felix Wolf. "Accelerating Brain Simulations with the Fast Multipole Method." In Euro-Par 2022: Parallel Processing, 387–402. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12597-3_24.
Cecka, Cristopher, Pierre-David Létourneau, and Eric Darve. "Fast Multipole Method Using the Cauchy Integral Formula." In Numerical Analysis of Multiscale Computations, 127–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21943-6_6.
Chernyh, Julia, Ilia Marchevsky, Evgeniya Ryatina, and Alexandra Kolganova. "Barnes–Hut/Multipole Fast Algorithm in Lagrangian Vortex Method." In Lecture Notes in Mechanical Engineering, 69–82. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-37246-9_6.
Pham, Dung Ngoc. "Profiling General-Purpose Fast Multipole Method (FMM) Using Human Head Topology." In Brain and Human Body Modeling 2020, 347–81. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45623-8_21.
Bonnet, Marc, Stéphanie Chaillat, and Jean-François Semblat. "Multi-Level Fast Multipole BEM for 3-D Elastodynamics." In Recent Advances in Boundary Element Methods, 15–27. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-9710-2_2.
Yao, Zhenhan. "Some Investigations of Fast Multipole BEM in Solid Mechanics." In Recent Advances in Boundary Element Methods, 433–49. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-9710-2_28.
Beckmann, Andreas, and Ivo Kabadshow. "Portable Node-Level Performance Optimization for the Fast Multipole Method." In Lecture Notes in Computational Science and Engineering, 29–46. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22997-3_2.
Conference papers on the topic "Fast multipolar method":
Liu, Yijun, and Milind Bapat. "Recent Development of the Fast Multipole Boundary Element Method for Modeling Acoustic Problems." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10163.
Duan, Shanzhong (Shawn). "An Integrated Procedure for Computer Simulation of Dynamics of Multibody Molecular Structures in Polymers and Biopolymers." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52481.
Delnevo, Alexia, Sébastien Le Saint, Guillaume Sylvand, and Isabelle Terrasse. "Numerical Methods: Fast Multipole Method for Shielding Effects." In 11th AIAA/CEAS Aeroacoustics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-2971.
Zhao, Xueqian, and Zhuo Feng. "Fast multipole method on GPU." In the 48th Design Automation Conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/2024724.2024853.
Liu, Yijun, and Milind Bapat. "Fast Multipole Boundary Element Method for 3-D Full- and Half-Space Acoustic Wave Problems." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10165.
Hu, Qi, Nail A. Gumerov, and Ramani Duraiswami. "Scalable Distributed Fast Multipole Methods." In 2012 IEEE 14th Int'l Conf. on High Performance Computing and Communication (HPCC) & 2012 IEEE 9th Int'l Conf. on Embedded Software and Systems (ICESS). IEEE, 2012. http://dx.doi.org/10.1109/hpcc.2012.44.
Singh, J. P., C. Holt, J. L. Hennessy, and A. Gupta. "A parallel adaptive fast multipole method." In the 1993 ACM/IEEE conference. New York, New York, USA: ACM Press, 1993. http://dx.doi.org/10.1145/169627.169651.
Cui, Xiaobing, and Zhenlin Ji. "Application of the Fast Multipole Boundary Element Method to Analysis of Sound Fields in Absorbing Materials." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10698.
Zhang, He. "Fast multipole methods for multiparticle simulations." In The 26th International Conference on Atomic Physics, ICAP 2018, Barcelona, Spain, July 22 – 27, 2018. US DOE, 2018. http://dx.doi.org/10.2172/1984206.
Hu, Qi, Nail A. Gumerov, Rio Yokota, Lorena Barba, and Ramani Duraiswami. "Scalable Fast Multipole Accelerated Vortex Methods." In 2014 IEEE International Parallel & Distributed Processing Symposium Workshops (IPDPSW). IEEE, 2014. http://dx.doi.org/10.1109/ipdpsw.2014.110.
Reports on the topic "Fast multipolar method":
Strickland, J. H., and R. S. Baty. An overview of fast multipole methods. Office of Scientific and Technical Information (OSTI), November 1995. http://dx.doi.org/10.2172/130669.
Hamilton, L. S., J. J. Ottusch, R. S. Ross, M. A. Stalzer, and R. S. Turley. Fast Multipole Methods for Scattering Computation. Fort Belvoir, VA: Defense Technical Information Center, February 1995. http://dx.doi.org/10.21236/ada299617.
Greengard, L., and W. D. Gropp. A Parallel Version of the Fast Multipole Method. Fort Belvoir, VA: Defense Technical Information Center, August 1988. http://dx.doi.org/10.21236/ada199804.
Rohklin, Vladimir. Fast Multipole Methods for Electromagnetic Circuit Computations. Fort Belvoir, VA: Defense Technical Information Center, December 1998. http://dx.doi.org/10.21236/ada360453.
Jiang, Lijun, and Igor Tsukerman. Toward Fast Multipole Methods on a Lattice. Fort Belvoir, VA: Defense Technical Information Center, August 2012. http://dx.doi.org/10.21236/ada587093.
Gimbutas, Z., and V. Rokhlin. A Generalized Fast Multipole Method for Non-Oscillatory Kernels. Fort Belvoir, VA: Defense Technical Information Center, July 2000. http://dx.doi.org/10.21236/ada640378.
Martinsson, P. G., and V. Rokhlin. An Accelerated Kernel-Independent Fast Multipole Method in One Dimension. Fort Belvoir, VA: Defense Technical Information Center, May 2006. http://dx.doi.org/10.21236/ada639971.
Williams, Sarah A., Ann S. Almgren, and E. Gerry Puckett. On Using a Fast Multipole Method-based Poisson Solver in anApproximate Projection Method. US: Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US), March 2006. http://dx.doi.org/10.2172/898942.
Greengard, L., and V. Rokhlin. A New Version of the Fast Multipole Method for the Laplace Equation in Three Dimensions. Fort Belvoir, VA: Defense Technical Information Center, September 1996. http://dx.doi.org/10.21236/ada316161.
Masumoto, Takayuki. The Effect of Applying the Multi-Level Fast Multipole Algorithm to the Boundary Element Method. Warrendale, PA: SAE International, September 2005. http://dx.doi.org/10.4271/2005-08-0589.