Advances in the Finite Element Method for Fluid Flow
Mohamed Hamdy Doweidar
Broschiertes Buch

Advances in the Finite Element Method for Fluid Flow

Stabilized Methods, A-Posteriori Error Estimation and Mesh Adaptivity

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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 m...