Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates

Authors:
P. Burda;J. Novotný;J. Šístek
Affiliations:
Department of Mathematics, Czech University of Technology, Karlovo námstí 13, CZ-121 35 Praha 2, Czech Republic;Institute of Thermomechanics, Czech Academy of Science, Dolejškova 5, CZ-182 00 Praha 8, Czech Republic;Department of Mathematics, Czech University of Technology, Karlovo námstí 13, CZ-121 35 Praha 2, Czech Republic
Venue:
Mathematics and Computers in Simulation
Year:
2007

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Abstract

2D flow of incompressible viscous fluid with higher Reynolds number is studied. Galerkin least squares technique of stabilization of the finite element method is investigated and its modification is described. A number of numerical results is presented. Properties of stabilization are discussed. Most important part is the study of the accuracy of the stabilized solution by means of a posteriori error estimates.