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A posteriori finite element output bounds in three space dimensions using the FETI method

✍ Scribed by Marius Paraschivoiu

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 581 KB
Volume: 190
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(01)00253-5

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✦ Synopsis

A domain decomposition ®nite element technique for eciently generating lower and upper bounds to outputs which are linear functionals of the solution to the convection±diusion equation is presented. The novelty is to utilize a domain decomposition method with Lagrange multipliers and an iterative interface solution scheme ± the ®nite element tearing and interconnecting (FETI) procedure ± to extend the bound method to three space dimensions. Numerical results show that the bounds are sharp, their calculation consumes only a fraction of the memory required by a sparse solver, and CPU usage is optimal, i.e. proportional to the total number of d.o.f.

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