Nodal discontinuous Galerkin methods : algorithms, analysis, and applications / Jan S. Hesthaven, Tim Warburton.

Format:

Book

Author/Creator:

Hesthaven, Jan S.

Contributor:

Warburton, Tim.

Series:

Texts in applied mathematics ; 54.

Texts in applied mathematics ; 54

Language:

English

Subjects (All):

Finite element method.

Galerkin methods.

Differential equations, Partial.

Physical Description:

xiv, 500 pages : illustrations ; 25 cm.

polychrome

Place of Publication:

New York : Springer, [2008]

System Details:

text file

Summary:

"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 1970s, 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 range of problems." "These methods are different in nature from standard methods such as finite element or finite difference methods, often presenting a challenge in the transition from theoretical developments to actual implementations and applications." "This book is aimed at graduate level classes in applied and computational mathematics. The combination of an in depth discussion of the fundamental properties of the discontinuous Galerkin computational methods with the availability of extensive software allows students to gain first hand experience from the beginning without eliminating theoretical insight."--Jacket.

Contents:

Introduction

The key ideas

Making it work in one dimension

Insight through theory

nonlinear problems

Beyond one dimension

Higher-order equations

Spectral properties of discontinunous Galerkin operators

Curvilinear elements and non conforming discretizations

Into the third dimension

Appendix A: Jacobi polynominals and beyond

Appendix B: Briefly on grid generation

Appendix C: Software, variables, and helpful scripts.

Notes:

Includes bibliographical references and index.

ISBN:

9780387720654

0387720650

0387720677

9780387720678

OCLC:

191889938

Publisher Number:

9780387720654

11798514