<i>Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations</i>

Title

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

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Description

Editors: Xiaobing Feng, Ohannes Karakashian, and Yulong Xing

Chapter, Adaptivity and Error Estimation for Discontinuous Galerkin Methods, co-authored by Mahboub Baccouch, UNO faculty member.

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.

ISBN

978-3319018171

Publication Date

2014

Publisher

Springer

City

New York, NY

Department

Mathematics

Comments

Part of the The IMA Volumes in Mathematics and its Applications series.

S. Adjerid, M. Baccouch, Adaptivity and error estimation for discontinuous Galerkin methods, in: X. Feng, O. Karakashian, Y. Xing (eds.), Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, vol. 157 of The IMA Volumes in Mathematics and its Applications, Springer International Publishing, 2014, pp. 63-96.

<i>Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations</i>


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