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Published in:
2005 | OriginalPaper | Chapter
A FETI Method for a Class of Indefinite or Complex Second- or Fourth-Order Problems
Authors : Charbel Farhat, Jing Li, Michel Lesoinne, Philippe Avery
Published in: Domain Decomposition Methods in Science and Engineering
Publisher: Springer Berlin Heidelberg
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The FETI-DP domain decomposition method is extended to address the iterative solution of a class of indefinite problems of the form (
K
−
σ
2
M
)
x
=
b
, and a class of complex problems of the form (
K
−
σ
2
M
+
iσ
D
)
x
=
b
, where
K
,
M
, and
D
are three real symmetric positive semi-definite matrices arising from the finite element discretization of either second-order elastodynamic problems or fourth-order plate and shell dynamic problems,
i
is the imaginary complex number, and
σ
is a positive real number.