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Title Recent developments in discontinuous Galerkin finite element methods for partial differential equations : 2012 John H Barrett Memorial Lectures / Xiaobing Feng, Ohannes Karakashian, Yulong Xing, editors
Published Cham : Springer, 2014
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Description 1 online resource (xii, 279 pages) : illustrations (some color)
Series The IMA Volumes in Mathematics and its Applications, 0940-6573 ; volume 157
IMA volumes in mathematics and its applications ; v. 157. 0940-6573
Contents A quick tutorial on DG methods for elliptic problems / F. Brezzi -- Discontinuous Galerkin method for time-dependent problems : survey and recent developments / Chi-Wang 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 Runge-Kutta 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 / Jean-Luc 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 surface-subsurface 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 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
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.
Mathematical Computing.
Mathematics.
Genre/Form Conference papers and proceedings.
Congress.
Conference papers and proceedings.
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 3319018183 (electronic bk.)
9783319018188 (electronic bk.)