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High Performance Evaluation of Helmholtz Potentials Using the Multi-Level Fast Multipole Algorithm

Journal Article · · IEEE Transactions on Parallel and Distributed Systems
 [1];  [2];  [2];  [1]
  1. Department of Computer Science and Engineering, Michigan State University, East Lansing, MI, USA
  2. Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI, USA

Not provided.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC02-05CH11231
OSTI ID:
1982886
Journal Information:
IEEE Transactions on Parallel and Distributed Systems, Vol. 33, Issue 12; ISSN 1045-9219
Publisher:
IEEE
Country of Publication:
United States
Language:
English

References (46)

Accurate solutions of extremely large integral-equation problems in computational electromagnetics journal February 2013
Solutions of large-scale electromagnetics problems involving dielectric objects with the parallel multilevel fast multipole algorithm journal October 2011
Weak Scalability Analysis of the Distributed-Memory Parallel MLFMA journal November 2013
Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm journal February 2013
Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering journal September 1995
The fast multipole method for the wave equation: a pedestrian prescription journal June 1993
Task-Based FMM for Multicore Architectures journal January 2014
Bottom-Up Construction and 2:1 Balance Refinement of Linear Octrees in Parallel journal January 2008
A kernel-independent adaptive fast multipole algorithm in two and three dimensions journal May 2004
Parallel Wideband MLFMA for Analysis of Electrically Large, Nonuniform, Multiscale Structures journal February 2019
A broadband fast multipole accelerated boundary element method for the three dimensional Helmholtz equation journal January 2009
The accuracy of fast multipole methods for Maxwell's equations journal January 1998
Parallel Non-Uniform MLFMA for Multiscale Electromagnetic Simulation conference July 2018
Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects journal January 1997
A combined steepest descent-fast multipole algorithm for the fast analysis of three-dimensional scattering by rough surfaces journal May 1998
Scattering from elongated objects: direct solution in O(N log2 N) operations journal January 1996
Integral equation solution of Maxwell's equations from zero frequency to microwave frequencies journal January 2000
Accelerating fast multipole methods for the Helmholtz equation at low frequencies journal January 1998
Provably scalable parallel FMM algorithm for multiscale electromagnetic simulations conference June 2009
A Novel Wideband FMM for Fast Integral Equation Solution of Multiscale Problems in Electromagnetics journal July 2009
Optimization of the Spherical Harmonics Transform based Tree Traversals in the Helmholtz FMM Algorithm conference August 2018
Towards a scalable parallel MLFMA in three dimensions conference August 2011
A tuned and scalable fast multipole method as a preeminent algorithm for exascale systems journal January 2012
Extreme Scale FMM-Accelerated Boundary Integral Equation Solver for Wave Scattering journal January 2019
The plane-wave time-domain algorithm for the fast analysis of transient wave phenomena journal January 1999
Fast Evaluation of Three-Dimensional Transient Wave Fields Using Diagonal Translation Operators journal October 1998
A parallel hashed Oct-Tree N-body algorithm conference January 1993
Full-Wave Simulations of Electromagnetic Scattering Problems With Billions of Unknowns journal February 2015
A simple manifold-based construction of surfaces of arbitrary smoothness conference August 2004
4.45 Pflops astrophysical N-body simulation on K computer -- The gravitational trillion-body problem
  • Ishiyama, Tomoaki; Nitadori, Keigo; Makino, Junichiro
  • 2012 SC - International Conference for High Performance Computing, Networking, Storage and Analysis, 2012 International Conference for High Performance Computing, Networking, Storage and Analysis https://doi.org/10.1109/SC.2012.3
conference November 2012
Petascale Direct Numerical Simulation of Blood Flow on 200K Cores and Heterogeneous Architectures
  • Rahimian, Abtin; Lashuk, Ilya; Veerapaneni, Shravan
  • 2010 SC - International Conference for High Performance Computing, Networking, Storage and Analysis, 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis https://doi.org/10.1109/SC.2010.42
conference November 2010
Parallel Implementation of Mlfma for Homogeneous Objects with Various Material Properties journal January 2011
A Scalable Parallel Wideband MLFMA for Efficient Electromagnetic Simulations on Large Scale Clusters journal July 2011
Performing large full-wave simulations by means of a parallel MLFMA implementation conference July 2013
A Ternary Parallelization Approach of MLFMA for Solving Electromagnetic Scattering Problems With Over 10 Billion Unknowns journal November 2019
Accelerated Cartesian expansions – A fast method for computing of potentials of the form R−ν for all real ν journal September 2007
A fast algorithm for particle simulations journal December 1987
Fast multipole accelerated boundary integral equation methods journal July 2002
A hierarchical O(N log N) force-calculation algorithm journal December 1986
An Efficient Program for Many-Body Simulation journal January 1985
Fourier-Based Fast Multipole Method for the Helmholtz Equation journal January 2013
Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics journal January 2008
Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm journal January 2003
A Fast Spherical Filter with Uniform Resolution journal September 1997
MLFMA-FFT Parallel Algorithm for the Solution of Extremely Large Problems in Electromagnetics journal February 2013
Massively Parallel Fast Multipole Method Solutions of Large Electromagnetic Scattering Problems journal June 2007