Advances in the Finite Element Method for Fluid Flow | Stabilized Methods, A-Posteriori Error Estimation and Mesh Adaptivity

Mohamed Hamdy Doweidar

ISBN 10: 3639369939 / ISBN 13: 9783639369939

Verlag: VDM Verlag Dr. Müller, 2011

Advances in the Finite Element Method for Fluid Flow | Stabilized Methods, A-Posteriori Error Estimation and Mesh Adaptivity | Mohamed Hamdy Doweidar | Taschenbuch | Englisch | VDM Verlag Dr. Müller | EAN 9783639369939 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 106902222

Inhaltsangabe:

Throughout this book three main topics are presented. The first one presents the new SGS/GSGS variational formulation. The local stability of this method is much better than that of the present stabilized methods. Moreover, in the advective-diffusive limit and for piecewise linear functional spaces, the method recovers the classical SUPG method. The second topic is the analysis of the most common transient methods for the transient advection-diffusion-reaction equation. This analysis includes semi-discrete, time-discontinuous space-time stabilized finite element methods and several predictor multi-corrector versions. In the last topic, a new explicit a-posteriori error estimator is presented, which is derived from the variational multiscale theory. The error estimator uses an approximation of the Green's function, which reproduces the error according to the dual problem. The technique is applied to fluid flow transport, showing that for convection-dominated flows, the efficiency index is independent of the diffusion coefficient.

Bibliografische Details

Titel: Advances in the Finite Element Method for ...
Verlag: VDM Verlag Dr. Müller
Erscheinungsdatum: 2011
Einband: Taschenbuch
Zustand: Neu