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Mathematics - Computational Science & Engineering | Recent Developments in Discontinuous Galerkin Finite Element Methods for… - 2012 John H

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

2012 John H Barrett Memorial Lectures

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

2014, XII, 279 p. 72 illus., 58 illus. in color.

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  • ​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

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.   

Content Level » Research

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

Related subjects » Analysis - Computational Science & Engineering - Dynamical Systems & Differential Equations

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