MMAS
2011
Springer
13 years 3 months ago
2011
Springer
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...
JCPHY
2011
13 years 3 months ago
2011
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...
SIAMREV
2010
13 years 7 months ago
2010
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...
SIAMSC
2010
13 years 11 months ago
2010
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...
SIAMSC
2008
14 years 20 days ago
2008
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)...