LEADER 03613oam 2200481 450 001 9910300147503321 005 20190911112725.0 010 $a3-319-01818-3 024 7 $a10.1007/978-3-319-01818-8 035 $a(OCoLC)865575181 035 $a(MiFhGG)GVRL6XSZ 035 $a(EXLCZ)993710000000058050 100 $a20130830d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aRecent developments in discontinuous Galerkin finite element methods for partial differential equations $e2012 John H Barrett Memorial Lectures /$fXiaobing Feng, Ohannes Karakashian, Yulong Xing, editors 205 $a1st ed. 2014. 210 1$aCham, Switzerland :$cSpringer,$d2014. 215 $a1 online resource (xii, 279 pages) $cillustrations (some color) 225 1 $aThe IMA Volumes in Mathematics and its Applications,$x0940-6573 ;$v157 300 $a"ISSN: 0940-6573." 311 $a3-319-01817-5 320 $aIncludes bibliographical references. 327 $aA 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 . 330 $aThe field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research.  Derived from the 2012 Barrett Lectures at the University of Tennessee, the papers reflect the state of the field today and point toward possibilities for future inquiry. The longer survey lectures, delivered by Franco Brezzi and Chi-Wang Shu, respectively, focus on theoretical aspects of discontinuous Galerkin methods for elliptic and evolution problems. Other papers apply DG methods to cases involving radiative transport equations,  error estimates, and time-discrete higher order ALE functions, among other areas. Combining focused case studies with longer sections of expository discussion, this book will be an indispensable reference for researchers and students working with discontinuous Galerkin finite element methods and its applications.   . 410 0$aIMA volumes in mathematics and its applications ;$vvolume 157. 606 $aFinite element method$vCongresses 606 $aGalerkin methods$vCongresses 615 0$aFinite element method 615 0$aGalerkin methods 676 $a515.353 702 $aFeng$b Xiaobing$f1963- 702 $aKarakashian$b Ohannes 702 $aXing$b Yulong 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910300147503321 996 $aRecent developments in discontinuous Galerkin finite element methods for partial differential equations$91410210 997 $aUNINA