The IMA Volumes in Mathematics and its Applications

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

2012 John H Barrett Memorial Lectures

Editors: Feng, Xiaobing, Karakashian, Ohannes, Xing, Yulong (Eds.)

  • ​Distinguished list of authors who are leading researchers on discontinuous Galerkin finite element methods
  • Several papers in the volume are survey papers on different aspects of discontinuous Galerkin finite element methods
  • The volume covers a broad aspects of discontinuous Galerkin finite element methods including method development and design, practical implementation, and emerging applications of discontinuous Galerkin finite element methods
see more benefits

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-319-01818-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-01817-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-319-37840-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

Table of contents (11 chapters)

  • A Quick Tutorial on DG Methods for Elliptic Problems

    Brezzi, F. (et al.)

    Pages 1-24

  • Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments

    Shu, Chi-Wang

    Pages 25-62

  • Adaptivity and Error Estimation for Discontinuous Galerkin Methods

    Adjerid, Slimane (et al.)

    Pages 63-96

  • A Quadratic C 0 Interior Penalty Method for an Elliptic Optimal Control Problem with State Constraints

    Brenner, S. C. (et al.)

    Pages 97-132

  • A Local Timestepping Runge–Kutta Discontinuous Galerkin Method for Hurricane Storm Surge Modeling

    Dawson, Clint

    Pages 133-148

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-319-01818-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-01817-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-319-37840-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Book Subtitle
2012 John H Barrett Memorial Lectures
Editors
  • Xiaobing Feng
  • Ohannes Karakashian
  • Yulong Xing
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
157
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01818-8
DOI
10.1007/978-3-319-01818-8
Hardcover ISBN
978-3-319-01817-1
Softcover ISBN
978-3-319-37840-4
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XII, 279
Number of Illustrations and Tables
14 b/w illustrations, 58 illustrations in colour
Topics