Algebraic Multigrid Methods for Direct Frequency Response Analyses in Solid Mechanics |
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Authors: | Mark F Adams |
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Affiliation: | (1) APAM, Columbia University, 500 W. 120th St. Rm 200, MC 4701, New York, NY 10027, USA |
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Abstract: | Algebraic multigrid (AMG) methods have proven to be effective for solving the linear algebraic system of equations that arise
from many classes of unstructured discretized elliptic PDEs. Standard AMG methods, however, are not suitable for shifted linear
systems from elliptic PDEs, such as discretized Helmholtz operators, due to the indefiniteness of the system and the presence
of low energy modes which are difficult for multigrid methods to resolve effectively. This paper investigates simple methods
to adapt existing standard AMG methods to these shifted systems from direct frequency response analyses in solid mechanics. |
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Keywords: | Algebraic multigrid Helmholtz equation solvers Direct frequency response analyses |
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