Sciweavers

Share
MMAS
2011
Springer
9 years 2 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
JCPHY
2011
85views more  JCPHY 2011»
9 years 2 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
SIAMREV
2010
94views more  SIAMREV 2010»
9 years 6 months ago
Lattice Sums for the Helmholtz Equation
A survey of different representations for lattice sums for the Helmholtz equation is given. These sums arise naturally when dealing with wave scattering by periodic structures. One...
Chris M. Linton
SIAMSC
2010
144views more  SIAMSC 2010»
9 years 10 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
SIAMSC
2008
167views more  SIAMSC 2008»
9 years 11 months ago
New Finite Elements for Large-Scale Simulation of Optical Waves
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Britta Heubeck, Christoph Pflaum, Gunther Steinle
books