Description 
1 online resource (xii, 279 pages) : illustrations (some color) 
Series 
The IMA Volumes in Mathematics and its Applications, 09406573 ; volume 157 

IMA volumes in mathematics and its applications ; v. 157. 09406573

Contents 
A quick tutorial on DG methods for elliptic problems / F. Brezzi  Discontinuous Galerkin method for timedependent problems : survey and recent developments / ChiWang Shu  Adaptivity and error estimation for discontinuous Galerkin methods / Slimane Adjerid and Mahboub Baccouch  A quadratic C0 interior penalty method for an elliptic optimal control problem with state constraints / S.C. Brenner, L.Y. Sung, and Y. Zhang  A local timestepping RungeKutta discontinuous Galerkin method for hurricane storm surge modeling / Clint Dawson  An overview of the discontinuous Petrov Galerkin method / Leszek F. Demkowicz and Jay Gopalakrishnan  Discontinuous Galerkin for the radiative transport equation / JeanLuc Guermond, Guido Kanschat, and Jean C. Ragusa  Error control for discontinuous Galerkin methods for first order hyperbolic problems / Emmanuil H. Georgoulis, Edward Hall, and Charalambos Makridakis  Virtual element and discontinuous Galerkin methods / F. Brezzi and L.D. Marini  A dG approach to higher order ALE formulations in time / Andrea Bonito, Irene Kyza, and Ricardo H. Nochetto  Discontinuous finite element methods for coupled surfacesubsurface flow and transport problems / Beatrice Riviere 
Summary 
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 ChiWang 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 timediscrete 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 
Bibliography 
Includes bibliographical references 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed November 11, 2013) 
Subject 
Finite element method  Congresses


Galerkin methods  Congresses


Mathematics.


Mathematics


Mathematical Computing


MATHEMATICS  Numerical Analysis.


Finite element method.


Galerkin methods.

Genre/Form 
Conference papers and proceedings.


Conference papers and proceedings.


Actes de congrĂ¨s.

Form 
Electronic book

Author 
Feng, Xiaobing, 1963 editor.


Karakashian, Ohannes, editor


Xing, Yulong, editor


Barrett Lecture Series Conference (42nd : 2012 : University of Tennessee, Knoxville)

ISBN 
9783319018188 

3319018183 
