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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 39
ADVANCES IN FINITE ELEMENT TECHNOLOGY Edited by: B.H.V. Topping
Paper II.5
Adaptive Control for Time-Dependent Nonlinear Finite Element Analysis P. Ladeveze and N. Moes
Laboratory of Mechanics and Technology, ENS Cachan/University of Paris, France P. Ladeveze, N. Moes, "Adaptive Control for Time-Dependent Nonlinear Finite Element Analysis", in B.H.V. Topping, (Editor), "Advances in Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 79-92, 1996. doi:10.4203/ccp.39.2.5
Abstract
An error on the constitutive law, called dissipation error,
is used to measure and to enhance the quality of
finite element computations of plastic structures whose
behaviour is described by internal variables. This measure
takes into account all the classical sources of error
involved in the computation: the space discretization (the
mesh), the time discretization and the iterative technique
used to solve the nonlinear discrete problem. To quantify
more specifically the contribution of these three error
sources to the error, three error indicators are calculated:
a space indicator, a time indicator and an iteration indicator.
Then, the error and the three indicators are used
in an adaptive strategy: the space indicator allows us to
adapt the mesh, the time indicator to adapt the time discretization
and the iteration indicator makes it possible
to limit the number of iterations of the global iterative
algorithm.
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