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» The method of polarized traces for the 2D Helmholtz equation
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JSCIC
2010
178views more  JSCIC 2010»
13 years 1 months ago
A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates
In many problems, one wishes to solve the Helmholtz equation in cylindrical or spherical coordinates which introduces variable coefficients within the differentiated terms. Fourth ...
S. Britt, S. Tsynkov, Eli Turkel
MMAS
2011
Springer
12 years 9 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
ICPR
2006
IEEE
14 years 7 months ago
Subpixel Alignment of MRI Data Under Cartesian and Log-Polar Sampling
Magnetic resonance imaging (MRI) allows numerous Fourier domain sampling schemes such as Cartesian and non-Cartesian trajectories (e.g. Polar, circular, and spherical). On the oth...
Hassan Foroosh, Mais Alnasser, Murat Balci
CSC
2008
13 years 7 months ago
The Dirichlet problem for the Laplace equation in a starlike domain
Many applications of Mathematical Physics and Engineering are connected with the Laplacian, however, the most part of BVP relevant to the Laplacian are solved in explicit form onl...
Diego Caratelli, Paolo Emilio Ricci