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Discontinuous Galerkin Methods for Viscous Incompressible Flow

By: Kanschat, Guido [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Wiesbaden : Teubner, 2008.Description: XIII, 170 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783835055193.Subject(s): Mathematics | Applied mathematics | Engineering mathematics | Mathematics | Applications of Mathematics | Mathematics, generalDDC classification: 519 Online resources: Click here to access online
Contents:
Basics -- Linear Diffusion I -- Linear Diffusion II -- Stokes Equations -- Flow Problems -- Linear Solvers.
In: Springer eBooksSummary: Guido Kanschat reviews several discontinuous Galerkin schemes for elliptic and viscous flow problems. Setting out from Nitsche's method for weak boundary conditions, he studies the interior penalty and LDG methods. Combined with a stable advection discretization, they yield stable DG methods for linear flow problems of Stokes and Oseen type which are applied to the Navier-Stokes problem. The author not only presents the analytical techniques used to study these methods but also devotes a major discussion to the efficient numerical solution of discrete problems.
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Basics -- Linear Diffusion I -- Linear Diffusion II -- Stokes Equations -- Flow Problems -- Linear Solvers.

Guido Kanschat reviews several discontinuous Galerkin schemes for elliptic and viscous flow problems. Setting out from Nitsche's method for weak boundary conditions, he studies the interior penalty and LDG methods. Combined with a stable advection discretization, they yield stable DG methods for linear flow problems of Stokes and Oseen type which are applied to the Navier-Stokes problem. The author not only presents the analytical techniques used to study these methods but also devotes a major discussion to the efficient numerical solution of discrete problems.

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