Title of article :
A FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems
Author/Authors :
Charbel Farhat، نويسنده , , Jing Li، نويسنده , , Philip Avery، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
The dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method
( DDM) is extended to address the iterative solution of a class of indefinite problems of the form
K − 2M
u = f, and a class of complex problems of the form
K − 2M+ i D
u = f, where K,
M, and D are three real symmetric matrices arising from the finite element discretization of solid
and shell dynamic problems, i is the imaginary complex number, and is a real positive number.
A key component of this extension is a new coarse problem based on the free-space solutions
of Navier’s equations of motion. These solutions are waves, and therefore the resulting DDM is
reminiscent of the FETI-H method. For this reason, it is named here the FETI-DPH method. For a
practically large range, FETI-DPH is shown numerically to be scalable with respect to all of the
problem size, substructure size, and number of substructures. The CPU performance of this iterative
solver is illustrated on a 40-processor computing system with the parallel solution, for various
ranges, of several large-scale, indefinite, or complex-valued systems of equations associated with
shifted eigenvalue and forced frequency response structural dynamics problems
Keywords :
complex , FETI-DP , PCG , PGMRES , FETI-DPH , indefinite , domain decomposition
Journal title :
International Journal for Numerical Methods in Engineering
Journal title :
International Journal for Numerical Methods in Engineering