8 edition of **Discontinuous Galerkin methods for solving elliptic and parabolic equations** found in the catalog.

- 384 Want to read
- 1 Currently reading

Published
**2008**
by Society for Industrial and Applied Mathematics in Philadelphia
.

Written in English

- Differential equations, Elliptic -- Numerical solutions,
- Differential equations, Parabolic -- Numerical solutions,
- Galerkin methods

**Edition Notes**

Includes bibliographical references and index.

Statement | Béatrice Rivière. |

Series | Frontiers in applied mathematics series |

Classifications | |
---|---|

LC Classifications | QA377 .R58 2008 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL16820529M |

ISBN 10 | 9780898716566 |

LC Control Number | 2008018508 |

Discontinuous Galerkin Methods For Solving Elliptic And parabolic Equations: Theory and Implementation (Frontiers in Applied Mathematics) By Béatrice M. Rivière Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late s, have become popular among computational scientists. This book covers both. The discontinuous Galerkin (DG) method has found widespread application in elliptic problems with rough coefficients, of which the Darcy flow equations are a prototypical example.

Get this from a library! Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation. [Béatrice Rivière; Society for Industrial and Applied Mathematics.]. Discontinuous Galerkin methods for fractional elliptic problems Page 5 of 23 88 This is a space ﬁlling triangulation composed of a collection of K geometry-conforming nonoverlapping elements D k.

This book discusses a family of computational methods, known as discontinuous Galerkin methods, for solving partial differential equations. While these methods have been known since the early s, they have experienced an almost explosive growth interest during the last ten to fifteen years, leading both to substantial theoretical developments and the application of these methods to a broad. Book. Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation. SIAM ISBN X. Available at SIAM. Download errata here. Teaching. CAAM , CAAM ; Numerical Solutions of Partial Differential Equations CAAM Introduction to Partial Differential Equation Based Simulation and.

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Discontinous Galerkin (DG) methods for solving partial differential equations, developed in the late s, 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 by: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation (Frontiers in Applied Mathematics) by Béatrice M.

Rivière (Dec) PaperbackManufacturer: Cambridge University Press. Discontinuous Galerkin Methods For Solving Elliptic And parabolic Equations: Theory and Implementation (Frontiers in Applied Mathematics) by Béatrice M.

Rivière () on *FREE* shipping on qualifying offers. Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late s, have become popular among computational scientists.

This book covers both theory and computation as it 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.

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation [Riviere] on *FREE* shipping on qualifying offers. Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and ImplementationAuthor: Riviere. Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation BÃ©atrice RiviÃ¨re Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late s, have.

Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late s, have become popular among computational scientists. This book covers both theory and. A discontinuous Galerkin method of first order is proposed to solve the three-phase flow problem in three- dimensional heterogeneous reservoirs.

The formulation is based on the compositional model Author: Béatrice Rivière. The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations.

The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation is divided into three parts: Part I focuses on the application of DG methods.

Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation / Béatrice Rivière. — (Frontiers in applied mathematics) Includes bibliographical references and index.

ISBN 1. Differential equations, Elliptic—Numerical solutions. Differential equations. The book is organised into three sections: Elliptic Problems (Chapters 1–2), Parabolic equations (Chapter 3) and Applications (Chapters 4–8). Chapter One introduces the Discontinuous Galerkin (DG) method using a single dimension elliptic equation to present the ideas as simply as possible.

Description: The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow.

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations. Theory and Implementation B. Riviere List of typos June Here is a list of misprints and clariﬁcations.

I would like to thank the readers for helping ﬁnd the typos. • page 3 line replace j by n. • page 29 line the variable is misplaced. The correct Cited by: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations by Beatrice M. Riviere,available at Book Depository with free delivery worldwide.

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations > /ch1 Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations we define the primal DG methods for solving a two-point boundary value problem in one dimension.

Permalink. Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation is divided into three parts: Part I focuses on the application of DG methods to second order elliptic problems in one dimension and in higher dimensions.

B. Rivière, Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations. Frontiers in Applied Mathematics (Society for Industrial and Applied Mathematics, Philadelphia, PA, ).

Theory and implementation Google ScholarCited by: 2. Get this from a library. Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation. [Béatrice Rivière] -- "Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late s, have become popular among computational scientists.

This book covers both theory and. Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation Written for numerical analysts, computational and applied mathematicians, and graduate-level courses on the numerical solution of partial differential equations, this introductory text provides comprehensive coverage of discontinuous Galerkin.

In this article, we describe some simple and commonly used discontinuous Galerkin methods for elliptic, Stokes and convection-diffusion problems. We illustrate these methods by Cited by: dently, Galerkin methods for elliptic and parabolic equations using discontin-uous nite elements were proposed, and a number of variants introduced and studied.

These were generally called interior penalty (IP) methods and their development remained independent of the development of the DG methods for hyperbolic Size: KB.This chapter deals with the formulation and analysis of the primal DG methods NIPG, SIPG, and IIPG in two and three dimensions for a general elliptic equation.

The chapter also includes a brief description of the local discontinuous Galerkin (LDG) method that is based on .