Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations. Theory and Implementation
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Author(s): B. Rivière
Publisher: SIAM
ISBN: 978089871656
Format: softback
190pp
Price: $55.00
Review Date: 20 August 2008
Review: This introduction to the application of discontinuous Galerkin (DG) methods to steady-state and time-dependent models will interest numerical analysts as well as applied mathematicians studying CFD or porous media flow. It focuses mainly on one class of primal DG methods, namely variations of interior penalty methods. The three parts cover: the applications of DG to elliptic problems in one or more dimension; time-dependent parabolic problems (with and without convection); and some applications of DG to solid mechanics (linear elasticity), to fluid mechanics (Stokes and Navier–Stokes) and to porous media flow (2-phase and miscible displacement).