caa a22 4500 445862149 CHVBK 20180317145447.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10092-010-0036-3 doi (NATIONALLICENCE)springer-10.1007/s10092-010-0036-3 Bubble stabilized discontinuous Galerkin methods onconforming and non-conforming meshes [Elektronische Daten] [Erik Burman, Benjamin Stamm] The aim of this paper is to discuss the properties of the bubble stabilized discontinuous Galerkin method with respect to mesh geometry. First we show that on certain non-conforming meshes the bubble stabilized discontinuous Galerkin method allows for hanging nodes/edges. Then we consider the case of conforming meshes and present a post-processing algorithm based on the Crouzeix-Raviart method to obtain the Bubble Stabilized Discontinuous Galerkin (BSDG) method. Although finally the post-processed solution does not coincide with the BSDG-solution in general, they satisfy the same (approximation) properties and are close to each other. Moreover, the post-processed solution has continuous flux over the edges. The Author(s), 2011 Discontinuous Galerkin nationallicence Elliptic equation nationallicence Crouzeix-Raviart approximation nationallicence Burman Erik Department of Mathematics, University of Sussex, BN1 9RF, Brighton, UK aut Stamm Benjamin Department of Mathematics, University of California, 970 Evans Hall, 94720, Berkeley, CA, United States aut Calcolo Springer Milan 48/2(2011-06-01), 189-209 0008-0624 48:2<189 2011 48 10092 https://doi.org/10.1007/s10092-010-0036-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-010-0036-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Burman Erik Department of Mathematics, University of Sussex, BN1 9RF, Brighton, UK aut NATIONALLICENCE 700 1- Stamm Benjamin Department of Mathematics, University of California, 970 Evans Hall, 94720, Berkeley, CA, United States aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/2(2011-06-01), 189-209 0008-0624 48:2<189 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer