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Parallel Iterative Substructuring in Structural Mechanics
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DOI：10.1007/s11831-009-9035-4.png)
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摘要
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Finite Element Tearing and Interconnecting (FETI) methods are a family of nonoverlapping domain decomposition methods which have been proven to be robust and parallel scalable for a variety of elliptic partial differential equations. Here, an introduction to the classical onelevel FETI methods is given, as well as to the more recent dual-primal FETI methods and some of their variants. With the advent of modern parallel computers with thousands of processors, certain inexact components are needed in these methods to maintain scalability. An introduction to a recent class of inexact dual-primal FETI methods is presented. Scalability results for an elasticity problem using 65 536 processor cores of the JUGENE supercomputer at Forschungszentrum Julich show the potential of these methods. A hyperelastic problem from biomechanics is presented as an application of the methods to nonlinear finite element analysis.
Keyword:
PRIMAL FETI METHODS
NEUMANN-NEUMANN PRECONDITIONERS
DOMAIN DECOMPOSITION METHODS
BOUNDARY-LAYER MESHES
MIXED APPROXIMATIONS
HP-APPROXIMATIONS
PART I
DP
BDDC
CONVERGENCE
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