A review of finite-element methods for time-harmonic acoustics
LL Thompson - The Journal of the Acoustical Society of America, 2006 - pubs.aip.org
State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …
Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects
The fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) are
reviewed. The number of modes required, block-diagonal preconditioner, near singularity …
reviewed. The number of modes required, block-diagonal preconditioner, near singularity …
The fast multipole method for the wave equation: A pedestrian prescription
A practical and complete, but not rigorous, exposition of the fact multiple method (FMM) is
provided. The FMM provides an efficient mechanism for the numerical convolution of the …
provided. The FMM provides an efficient mechanism for the numerical convolution of the …
A new version of the fast multipole method for the Laplace equation in three dimensions
L Greengard, V Rokhlin - Acta numerica, 1997 - cambridge.org
A new version of the Fast Multipole Method for the Laplace equation in three dimensions Page
1 ActaNumerica (1997), pp. 229-269 © Cambridge University Press, 1997 A new version of the …
1 ActaNumerica (1997), pp. 229-269 © Cambridge University Press, 1997 A new version of the …
A fast adaptive multipole algorithm in three dimensions
H Cheng, L Greengard, V Rokhlin - Journal of computational physics, 1999 - Elsevier
A Fast Adaptive Multipole Algorithm in Three Dimensions Page 1 Journal of Computational
Physics 155, 468–498 (1999) Article ID jcph.1999.6355, available online at http://www.idealibrary.com …
Physics 155, 468–498 (1999) Article ID jcph.1999.6355, available online at http://www.idealibrary.com …
[图书][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
The fast multipole method: numerical implementation
E Darve - Journal of Computational Physics, 2000 - Elsevier
We study integral methods applied to the resolution of the Maxwell equations where the
linear system is solved using an iterative method which requires only matrix–vector …
linear system is solved using an iterative method which requires only matrix–vector …
A short course on fast multipole methods
R Beatson, L Greengard - Wavelets, multilevel methods and …, 1997 - books.google.com
In this series of lectures, we describe the analytic and computational foundations of fast
multipole methods, as well as some of their applications. They are most easily understood …
multipole methods, as well as some of their applications. They are most easily understood …
A dual finite element complex on the barycentric refinement
A Buffa, S Christiansen - Mathematics of computation, 2007 - ams.org
Given a two dimensional oriented surface equipped with a simplicial mesh, the standard
lowest order finite element spaces provide a complex $ X^\bullet $ centered on Raviart …
lowest order finite element spaces provide a complex $ X^\bullet $ centered on Raviart …
Sweeping preconditioner for the Helmholtz equation: moving perfectly matched layers
B Engquist, L Ying - Multiscale Modeling & Simulation, 2011 - SIAM
This paper introduces a new sweeping preconditioner for the iterative solution of the
variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow …
variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow …