Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations. Theory and Implementation

Rivi?re, Beatrice

ISBN 10: 089871656X / ISBN 13: 9780898716566

Published by SIAM, Society for Industrial and Applied Mathematics 208, Philadelphia, USA, 2008

About this Item

8vo (10?x7?). 190pp. Illustrated glossy wraps. Very light shelfwear. Text block bright and unmarked. Color and black and white illustrations.

Seller Inventory # 4234

Bibliographic Details

• Title: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations. Theory and Implementation
• Publisher: SIAM, Society for Industrial and Applied Mathematics 208, Philadelphia, USA
• Publication Date: 2008
• Language: English
• ISBN 10: 089871656X
• ISBN 13: 9780898716566
• Binding: Softcover
• Edition: First Edition.
• Condition: Near fine
• Seller catalogs:
  • Science
  • Mathematics

About this title

Synopsis

Discontinous Galerkin (DG) methods for solving partial differential equations, developed in the late 1990s, have become popular among computational scientists. Covering both theory and computation, this book focuses on three primal DG methods - the symmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and nonsymmetric interior penalty Galerkin - which are variations of interior penalty methods. The author provides the basic tools for analysis and discusses coding issues, including data structure, construction of local matrices, and assembling of the global matrix. Computational examples and applications to important engineering problems are also included. Part I focuses on the application of DG methods to second order elliptic problems in one dimension and in higher dimensions. Part II presents the time-dependent parabolic problems - with and without convection. Part III contains applications of DG methods to solid mechanics (linear elasticity), fluid dynamics (Stokes and Navier–Stokes), and porous media flow (two-phase and miscible displacement).

About the Author

Béatrice M. Rivière is an Associate Professor in the Department of Computational and Applied Mathematics at Rice University.