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

• Pubblicazione: Cham, Switzerland : , : Springer, , 2014
• Edizione: 1st ed. 2014.
• Descrizione fisica: 1 online resource (xii, 279 pages) : illustrations (some color)
• Disciplina: 515.353
• Soggetto topico: Finite element method; Galerkin methods
• Persona (resp. second.): FengXiaobing <1963->; KarakashianOhannes; XingYulong
• Note generali: "ISSN: 0940-6573."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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 .
• Sommario/riassunto: 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. .
• Titolo autorizzato: Recent developments in discontinuous Galerkin finite element methods for partial differential equations
• ISBN: 3-319-01818-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910300147503321
• Lo trovi qui: Univ. Federico II
• Serie: IMA volumes in mathematics and its applications ; ; volume 157.