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＜電子ブック＞
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations : 2012 John H Barrett Memorial Lectures / edited by Xiaobing Feng, Ohannes Karakashian, Yulong Xing
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 157)

版	1st ed. 2014.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2014
本文言語	英語
大きさ	XII, 279 p. 72 illus., 58 illus. in color : online resource
著者標目	Feng, Xiaobing editor Karakashian, Ohannes editor Xing, Yulong editor SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Differential equations LCSH:Mathematical analysis FREE:Numerical Analysis FREE:Differential Equations FREE:Analysis
一般注記	A quick tutorial on discontinuous Galerkin methods for elliptic problems -- Discontinuous Galerkin methods for time dependent problems: survey and recent developments -- Adaptivity and error estimation for discontinuous Galerkin methods.- $C^0$ interior penalty methods for 4th order problems.- Devising superconvergent discontinuous Galerkin methods.- A local time stepping Runge-Kutta discontinuous Galerkin method for hurricane storm surge modeling.- An overview of the discontinuous Petrov-Galerkin method.- Discontinuous Galerkin methods for radiative transport equations.- Error control for discontinuous Galerkin methods for first order hyperbolic problems.-  Virtual elements and discontinuous Galerkin methods.- Time-discrete higher order ALE formulations: a DG approach -- Discontinuous finite element methods for coupled surface-subsurface flow and transport problems 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.    HTTP:URL=https://doi.org/10.1007/978-3-319-01818-8

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