Additive Schwarz Method for Scattering Problems Using the PML Method at Interfaces
The exterior Helmholtz problem is a basic model for wave propagation in the frequency domain on unbounded domains. As a rule of thumb, 10–20 grid points per wavelength are required. Hence if the modeling structures are a multiple of wavelengths in size, a discretization with finite elements results in large sparse indefinite and unsymmetric problems. There are no well established solvers, or preconditioners for these linear systems as there are for positive definite elliptic problems.
KeywordsHelmholtz Equation Perfectly Match Layer Domain Decomposition Method Iteration Cycle Schwarz Method
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