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Adaptive Incompressible Flow Computations with Linearly Implicit Time Discretization and Stabilized Finite Elements

Please always quote using this URN: urn:nbn:de:0297-zib-3599
  • Fully adaptive solutions of imcompressible flow problems employing the discretization sequence first in time then in space are presented. The time discretization is done by linearly implicit one--step methods possibly of high order with automatic step size control. A posteriori error estimates for the stabilized finite element discretization in space are obtained by solving local Dirichlet problems with higher accuracy. Once those estimates have been computed, we are able to control time and space grids with respect to required tolerances and necessary computational work. The devised method is applied to two benchmark problems in 2D.

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Author:Jens Lang
Document Type:ZIB-Report
Tag:Adaptive Stabilized Finite Element; Incompressible Flow; Linearly Implicit Time Discretization
MSC-Classification:76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Mxx Basic methods in fluid mechanics [See also 65-XX] / 76M10 Finite element methods
Date of first Publication:1998/06/19
Series (Serial Number):ZIB-Report (SC-98-16)
Published in:Appeared in: Computational Fluid Dynamics '98, K.D. Papailiou, D. Tsahalis, J. Periaux, C. Hirsch, M. Pandolfi eds., John Wiley & Sons, New York, 1998, 200-204
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