The Indefinite Helmholtz Equation

Part of the Numerical Methods and Algorithms book series (NUAL, volume 2)

In this chapter, we apply BBMG and AutoMUG versions to the indefinite Helmholtz equation, discretized on a uniform rectangular grid. Using ideas from AutoMUG, the transfer operators in the BBMG version are also designed to agree with the nearly singular eigenfunction of the original PDE. We also show how to compute the spectrum of the iteration matrix in some model cases. This analysis helps in the design of the multigrid method.


Dirichlet Boundary Condition Coarse Grid Spectral Radius Helmholtz Equation Multigrid Method 
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Copyright information

© Springer Science+Business Media, LLC 2008

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