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JCPHY
2011
85views more  JCPHY 2011»
12 years 7 months ago
A fast method for the solution of the Helmholtz equation
In this paper, we consider the numerical solution of the Helmholtz equation, arising from the study of the wave equation in the frequency domain. The approach proposed here diffe...
Eldad Haber, Scott MacLachlan
MOC
1998
96views more  MOC 1998»
13 years 4 months ago
A convergence theorem for the fast multipole method for 2 dimensional scattering problems
Abstract. The Fast Multipole Method (FMM) designed by V. Rokhlin rapidly computes the field scattered from an obstacle. This computation consists of solving an integral equation o...
Christophe Labreuche
MMAS
2011
Springer
12 years 7 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
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 th...
Björn Engquist, Lexing Ying
SIAMSC
2008
146views more  SIAMSC 2008»
13 years 4 months ago
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation
Abstract. The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the view point of constrained dynamical systems or approximate Helmho...
Ping Lin, Jian-Guo Liu, Xiliang Lu
SIAMSC
2010
144views more  SIAMSC 2010»
13 years 2 months ago
An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons
In recent years nonpolynomial finite element methods have received increasing attention for the efficient solution of wave problems. As with their close cousin the method of parti...
A. H. Barnett, Timo Betcke