Готові списки джерел за темами / Fast multipolar method

Добірка наукової літератури з теми "Fast multipolar method"

Автор: Grafiati
Опубліковано: 7 липня 2024

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Статті в журналах з теми "Fast multipolar method":

1

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.

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2

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.

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The circumferential multipolar catheter (CMC) facilitates pulmonary vein isolation (PVI) for the treatment of atrial fibrillation by catheter ablation. However, the ablation characteristics of CMC are not well understood. This study uses the finite element method to conduct a comprehensive analysis of the ablation characteristics of multielectrode unipolar/bipolar (MEU/MEB) modes of the CMC. A three-dimensional computational model of the CMC, including blood, myocardium, connective tissue, lung, and muscle, was constructed. The method was validated by comparing the results of an in vitro experiment with the simulation. Both ablation modes could create contiguous effective lesions, but the MEU mode created a deeper and broader lesion volume than the MEB mode. The MEB mode had an overall higher average temperature field and allowed faster formation of the effective contiguous lesion. The lesion shape tended to be symmetric and spread downward and superficially in the MEU mode and MEB mode, respectively. Results from the simulation for validation agreed with the in vitro experiment. Different ablation trends of the MEU and MEB modes provide different solutions for specific ablation requirements in clinical applications. The MEU mode suits transmural lesion in thick tissue around pulmonary veins (PVs). The MEB mode profits fast and durable creation of circumferential PVI. This study provides a detailed performance analysis of CMC, thereby contributing to the theoretical knowledge base of application of PVI with this emerging technology.
3

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.

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4

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.

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Abstract Both surface ground motion and cavity stress concentration have always been considered in the designs of earthquake engineering. In this paper, a theoretical approach is used to study the scattering problem of circular holes under a scalene trapezoidal hill. The wave displacement function was obtained by solving the Helmholtz equation that meets the zero-stress boundary conditions by the variable separation method and the image method. Based on the complex function, the multipolar coordinate method and the region-matching technique, algebraic equations were established at auxiliary boundaries and free boundary conditions in the complex domain. Auxiliary circles were used to solve the singularity of the reflex angle at the trapezoidal corner. Then, according to the sample statistics, instead of the Fourier expansion method, the least-squares method was used to solve the undetermined coefficient of the algebraic equations by discrete boundaries. Frequency responses for some parameters were calculated and discussed. The numerical results demonstrate that the continuity of the auxiliary boundaries and the accuracy of the zero-stress boundary are good; the displacement of the free surface and the stress of the circular hole are related to the shape of the trapezoid, the position of the circular hole, the direction of the incident wave and the frequency content of the excitation. Finally, time-domain responses were calculated by inverse fast Fourier transform based on the frequency domain theory, and the results have revealed the wave propagation mechanism in the complicated structure.
5

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.

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<p>The development of a fast-moving and dynamic strategic environment has an impact on the increasing situation of tension between countries. The visible phenomenon is the atmosphere of increasing the strength of the Armed Forces in regional countries (Arms Race) which then makes the threat dimension increasingly multipolar. On the other hand, the regional security situation, especially in Indonesia, is characterized by an increase in terrorism activities and other dangerous additives (Drugs) into the country, and boundary disputes related to the struggle for the use of increasingly massive natural resources. Flowing from the development of the strategic environment that gave birth to the complexity of threats to the sovereignty and integrity of the Republic of Indonesia. The study objective of this research is to provide advice to the leadership of the TNI AD regarding the transformation of TNI AD personnel development. So that this research uses the method of direct observation of the field. Besides observation, this research also uses the literature study method. Based on research results, obtained research results in the form the Army's personnel development has not been able to answer the dynamics of the strategic environment, the nature of threats, and organizational needs. Thus, it is necessary to make arrangements, especially in the recruitment system, education, and career development. </p>
6

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.

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7

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.

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8

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.

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9

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.

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Abstract As the Advanced LIGO and Advanced Virgo interferometers, soon to be joined by the KAGRA interferometer, increase their sensitivity, they detect an ever-larger number of gravitational waves with a significant presence of higher multipoles (HMs) in addition to the dominant (2, 2) multipole. These HMs can be detected with different approaches, such as the minimally-modeled burst search methods, and here we discuss one such approach based on the coherent WaveBurst (cWB) pipeline. During the inspiral phase the HMs produce chirps whose instantaneous frequency is a multiple of the dominant (2, 2) multipole, and here we describe how cWB can be used to detect these spectral features. The search is performed within suitable regions of the time-frequency representation; their shape is determined by optimizing the receiver operating characteristics. This novel method has already been used in the GW190814 discovery paper (Abbott et al 2020 Astrophys. J. Lett. 896 L44) and is very fast and flexible. Here we describe in full detail the procedure used to detect the (3, 3) multipole in GW190814 as well as searches for other HMs during the inspiral phase, and apply it to another event that displays HMs, GW190412, replicating the results obtained with different methods. The procedure described here can be used for the fast analysis of HMs and to support the findings obtained with the model-based Bayesian parameter estimates.
10

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.

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Статті в журналах Дисертації Книги

Дисертації з теми "Fast multipolar method":

1

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.

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De nombreuses méthodes numériques ont été développées pour modéliser et étudier les interactions entre les vagues et les structures. Les plus couramment utilisées sont celles basées sur la théorie potentielle des écoulements à surface libre.Dans l'approche Weak-Scatterer, conditions aux limites de surface libre sont linéarisées par rapport à la position de la houle incidente, ainsi les perturbations sur la houle doivent être de faibles amplitudes en comparaison de la houle incidente, mais aucune hypothèse n'est faite sur le mouvement des corps et sur l'amplitude de la houle incidente ; augmentant ainsi le champ d'application. Lorsque cette approche est couplée à une méthode des éléments de frontière, il est nécessaire à chaque itération temporelle, de construire et résoudre un système linéaire dense. La complexité spatiale importante de ces étapes limite l'utilisation de cette méthode à des systèmes de relativement faibles dimensions. Ce travail de thèse vise à réduire cette contrainte via la mise en oeuvre de méthodes d’accélération des calculs. On montre que l'utilisation de la méthode multipolaire permet de réduire la complexité spatiale en temps et en espace mémoire associées à la résolution du système linéaire rendant possible l'étude de système de plus grandes dimensions. Plusieurs méthodes de préconditionnement ont été étudiées de façon à réduire le nombre d'itérations nécessaires à la recherche de la solution du système par un solveur itératif.Au contraire de la méthode multiplaire rapide, la méthode de parallélisation en temps Parareal permet, en principe, d’accélérer l’ensemble de la simulation. On montre qu’elle permet d’accélérer les temps de calcul dans le cas de flotteurs fixes et libres dans la houle, mais que le facteur d’accélération décroit rapidement avec la cambrure de la houle
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
2

Chandramowlishwaran, Aparna. "The fast multipole method at exascale." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50388.

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This thesis presents a top to bottom analysis on designing and implementing fast algorithms for current and future systems. We present new analysis, algorithmic techniques, and implementations of the Fast Multipole Method (FMM) for solving N- body problems. We target the FMM because it is broadly applicable to a variety of scientific particle simulations used to study electromagnetic, fluid, and gravitational phenomena, among others. Importantly, the FMM has asymptotically optimal time complexity with guaranteed approximation accuracy. As such, it is among the most attractive solutions for scalable particle simulation on future extreme scale systems. We specifically address two key challenges. The first challenge is how to engineer fast code for today’s platforms. We present the first in-depth study of multicore op- timizations and tuning for FMM, along with a systematic approach for transforming a conventionally-parallelized FMM into a highly-tuned one. We introduce novel opti- mizations that significantly improve the within-node scalability of the FMM, thereby enabling high-performance in the face of multicore and manycore systems. The second challenge is how to understand scalability on future systems. We present a new algorithmic complexity analysis of the FMM that considers both intra- and inter- node communication costs. Using these models, we present results for choosing the optimal algorithmic tuning parameter. This analysis also yields the surprising prediction that although the FMM is largely compute-bound today, and therefore highly scalable on current systems, the trajectory of processor architecture designs, if there are no significant changes could cause it to become communication-bound as early as the year 2015. This prediction suggests the utility of our analysis approach, which directly relates algorithmic and architectural characteristics, for enabling a new kind of highlevel algorithm-architecture co-design. To demonstrate the scientific significance of FMM, we present two applications namely, direct simulation of blood which is a multi-scale multi-physics problem and large-scale biomolecular electrostatics. MoBo (Moving Boundaries) is the infrastruc- ture for the direct numerical simulation of blood. It comprises of two key algorithmic components of which FMM is one. We were able to simulate blood flow using Stoke- sian dynamics on 200,000 cores of Jaguar, a peta-flop system and achieve a sustained performance of 0.7 Petaflop/s. The second application we propose as future work in this thesis is biomolecular electrostatics where we solve for the electrical potential using the boundary-integral formulation discretized with boundary element methods (BEM). The computational kernel in solving the large linear system is dense matrix vector multiply which we propose can be calculated using our scalable FMM. We propose to begin with the two dielectric problem where the electrostatic field is cal- culated using two continuum dielectric medium, the solvent and the molecule. This is only a first step to solving biologically challenging problems which have more than two dielectric medium, ion-exclusion layers, and solvent filled cavities. Finally, given the difficulty in producing high-performance scalable code, productivity is a key concern. Recently, numerical algorithms are being redesigned to take advantage of the architectural features of emerging multicore processors. These new classes of algorithms express fine-grained asynchronous parallelism and hence reduce the cost of synchronization. We performed the first extensive performance study of a recently proposed parallel programming model, called Concurrent Collections (CnC). In CnC, the programmer expresses her computation in terms of application-specific operations, partially-ordered by semantic scheduling constraints. The CnC model is well-suited to expressing asynchronous-parallel algorithms, so we evaluate CnC using two dense linear algebra algorithms in this style for execution on state-of-the-art mul- ticore systems. Our implementations in CnC was able to match and in some cases even exceed competing vendor-tuned and domain specific library codes. We combine these two distinct research efforts by expressing FMM in CnC, our approach tries to marry performance with productivity that will be critical on future systems. Looking forward, we would like to extend this to distributed memory machines, specifically implement FMM in the new distributed CnC, distCnC to express fine-grained paral- lelism which would require significant effort in alternative models.
3

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.

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It has been shown that fast multipole methods can achieve good scalability on multi-core architectures. We have for an adaptive single-threaded fast multipole method implemented multithreading support via the OpenMP API. The downward- and upward pass in the fast multipole method are parallelized, and the multithreaded implementation achieves on a quad-core architecture for uniform distributions a 6.6x speedup and a non-uniform distribution a 4.2x speedup. The lower speedup for the non-uniform distributions results from poor load balancing caused by higher variance in connectivity. We conclude that future research in how connectivity affects parallel performance is needed.
4

Yoshida, Kenichi. "Applications of Fast Multipole Method to Boundary Integral Equation Method." Kyoto University, 2001. http://hdl.handle.net/2433/150672.

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5

Gutting, Martin. "Fast multipole methods for oblique derivative problems." Aachen Shaker, 2007. http://d-nb.info/988919346/04.

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6

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.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO
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.
7

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.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2003.
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.
8

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.

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9

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.

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10

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.

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Книги з теми "Fast multipolar method":

1

Liu, Yijun. Fast multipole boundary element method: Theory and applications in engineering. Cambridge: Cambridge University Press, 2009.

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2

Gumerov, Nail A. Fast multipole methods for the Helmholtz equation in three dimensions. Amsterdam: Elsevier, 2004.

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3

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.

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4

Anisimov, Victor, and James J. P. Stewart. Introduction to the Fast Multipole Method. CRC Press, 2019. http://dx.doi.org/10.1201/9780429063862.

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5

Stewart, James J. P., and Victor Anisimov. Introduction to the Fast Multipole Method. Taylor & Francis Group, 2019.

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6

Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2010.

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7

Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2009.

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8

Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2009.

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9

Liu, Yijun. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press, 2009.

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10

Liu, Yijun. Fast Multipole Boundary Element Method: Theory And Applications In Engineering. Cambridge University Press, 2014.

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Частини книг з теми "Fast multipolar method":

1

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.

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2

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.

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3

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.

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4

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.

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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.

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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.

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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.

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AbstractIn this study, we characterize the performance of the fast multipole method (FMM) in solving the Laplace and Helmholtz equations. We use the FMM library developed by the group of Dr. L. Greengard. This version of the FMM algorithm is multilayer with no priori limit on the number of levels of the FMM tree, although, after about thirty levels, there may be floating point issues. A collection of high-resolution human head models is used as test objects. We perform a detailed analysis of the runtime and memory consumption of the FMM in a wide range of frequencies, problem sizes, and precisions required. Although we focus on two-manifold test cases, the results are generalizable to other topologies as well. The tests are conducted on both Windows and Linux platforms. The results obtained in this study can serve as a general benchmark for the performance of FMM. It can also be employed to pre-estimate the efficiency of numerical modeling methods (e.g., the boundary element method) accelerated by FMM.
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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.

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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.

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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.

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Тези доповідей конференцій з теми "Fast multipolar method":

1

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.

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Some recent development of the fast multipole boundary element method (BEM) for modeling acoustic wave problems in both 2-D and 3-D domains are presented in this paper. First, the fast multipole BEM formulation for 2-D acoustic wave problems based on a dual boundary integral equation (BIE) formulation is presented. Second, some improvements on the adaptive fast multipole BEM for 3-D acoustic wave problems based on the earlier work are introduced. The improvements include adaptive tree structures, error estimates for determining the numbers of expansion terms, refined interaction lists, and others in the fast multipole BEM. Examples involving 2-D and 3-D radiation and scattering problems solved by the developed 2-D and 3-D fast multipole BEM codes, respectively, will be presented. The accuracy and efficiency of the fast multipole BEM results clearly demonstrate the potentials of the fast multipole BEM for solving large-scale acoustic wave problems that are of practical significance.
2

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.

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Though computational molecular dynamics is an effective tool for nano-scale phenomenon analysis, computational costs associated with its computer simulation are extremely high. There are two major computational steps associated with computer simulation of dynamics of molecular structures. They are calculation of interatomic forces and formation and solution of the equations of motion. Currently, these two computational steps are treated separately in most commonly-used methods. For example, Fast Multipole Method (FMM) and Cell Multipole Method (CMM) have been used for calculation of interatomic forces, and Cartesian Coordinate Method (CCM) and Internal Coordinate Molecular Dynamics Method (ICMD) have been created for the formation and solution of equations of motion of an atomistic molecular system. In this paper, a new procedure is presented through a proper integration between multibody molecular algorithms (MMA) and fast multipole methods to improve computational efficiency for computer simulation of the dynamical behaviors of multibody molecular structures in polymers and biopolymers. For the computational costs associated with interatomic forces, a fast multipole method is used to calculate the interatomic forces due to the potentials. For the computational costs associated with formation and solution of equations of motion, a multibody molecular algorithm developed by the author in his previous work will be utilized to integrate with fast multipole methods. The algorithm significantly improves computational efficiency when comparing with its counterpart procedures. The fast multipole method begins by scaling all atoms into a box with coordinate ranges to ensure numerical stability of subsequent operations. The parent box is then divided into half in the direction of each Cartesian axis and each child box is then subdivided to form a computational family tree. The flow of calculations is carried out along the tree structure with five passes. The fast multipole method has been improved and modified to achieve better effectiveness and higher efficiency since it was created. The multibody molecular algorithm starts with numbering subsets, forming bond graph, and developing three computing passes along the tree structure of an atomistic molecular system. Computing data flows in the fast multipole method and the multibody molecular algorithm will properly line up with the parent-child recursive relationship along the configuration of the tree structure due to linear recursive natures of both fast multipole method and multibody molecular algorithm. Then the time spent on the recursive simulation passes in the fast multipole method for computing forces may overlap with the time spent on the three recursive computational passes in the multibody molecular algorithm for forming and solving equations of motion.
3

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.

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4

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.

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5

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.

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In this paper, the fast multipole boundary element method (BEM) for modeling acoustic wave problems in both 3-D full- and half-space domains will be discussed. First, the fast multipole BEM formulations will be presented and then improvements to the formulations and algorithms will be discussed. Examples with large-scale acoustic BEM models, with the DOFs above 2 millions and solved on desktop PCs, will be presented to demonstrate the potential of the fast multipole BEM for modeling large-scale structural acoustic problems.
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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.

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7

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.

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8

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.

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As an advanced boundary element method (BEM) employing the fast multipole algorithm, the fast multipole boundary element method (FMBEM) has been developed to realize fast computation and drastic memory saving for the large-scale problems. In the present study, The FMBEM is applied to analyze the interior sound fields that partially-filled with sound-absorbing material. The basic principle of FMBEM is introduced briefly, and the domain decomposition approach for FMBEM is investigated. The numerical errors in multipole expansions are analyzed in order to obtain the sufficient accuracy for the FMBEM computation of sound fields in sound-absorbing material. The sound pressures in a duct partially-filled with sound-absorbing material are calculated by using the present FMBEM and the conventional BEM, and then the computational accuracy and efficiency of FMBEM are discussed by comparing the results from the two methods. The numerical results showed that the FMBEM is capable to deal with the sound fields problems in sound-absorbing material, and can save computational time for the acoustic problems with large number of nodes.
9

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.

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10

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.

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Звіти організацій з теми "Fast multipolar method":

1

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.

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2

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.

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3

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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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