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Title:

Hierarchical Bases for the Indefinite Helmholtz Equation

Document type:
Technical Report
Author(s):
Michael Bader; Markus Schimper; Christoph Zenger
Abstract:
For the indefinite Helmholtz equation, straightforward multigrid solvers lose their efficiency and show slow convergence or even divergence for high wave numbers. An equally insufficient performance can be observed with a standard hierarchical basis approach. The reason for this is that not all of the error frequencies can be treated by standard multigrid. Especially those frequencies which are solutions of the homogenous equation can be totally invisible for the standard solvers because of thei...     »
Keywords:
hierarchical finite elements; multigrid methods; Helmholtz equation
Year:
1999
Year / month:
1999-02-01 00:00:00
Pages:
20
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