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Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

2012 John H Barrett Memorial Lectures

  • Xiaobing Feng
  • Ohannes Karakashian
  • Yulong Xing

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 157)

Table of contents

About this book

Introduction

The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research.  Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field today and point toward possibilities for future inquiry. The longer survey lectures, delivered by Franco Brezzi and Chi-Wang Shu, respectively, focus on theoretical aspects of discontinuous Galerkin methods for elliptic and evolution problems. Other papers apply DG methods to cases involving radiative transport equations,  error estimates, and time-discrete higher order ALE functions, among other areas. Combining focused case studies with longer sections of expository discussion, this book will be an indispensable reference for researchers and students working with discontinuous Galerkin finite element methods and its applications.   

Keywords

A Priori and a Posteriori Error Estimates Adaptivity Discontinuous Galerkin Methods Partial Differential Equations

Editors and affiliations

  • Xiaobing Feng
    • 1
  • Ohannes Karakashian
    • 2
  • Yulong Xing
    • 3
  1. 1.Department of MathematicsThe University of TennesseeKnoxvilleUSA
  2. 2.Department of MathematicsThe University of TennesseeKnoxvilleUSA
  3. 3.Department of MathematicsThe University of TennesseeKnoxvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-01818-8
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-01817-1
  • Online ISBN 978-3-319-01818-8
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site