caa a22 4500 463177827 CHVBK 20180406164830.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10596-007-9041-2 doi (NATIONALLICENCE)springer-10.1007/s10596-007-9041-2 Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport [Elektronische Daten] [Shuyu Sun, Mary Wheeler] We consider adaptive discontinuous Galerkin (DG) methods for solving reactive transport problems in porous media. To guide anisotropic and dynamic mesh adaptation, a posteriori error estimators based on solving local problems are established. These error estimators are efficient to compute and effective to capture local phenomena, and they apply to all the four primal DG schemes, namely, symmetric interior penalty Galerkin, nonsymmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and the Oden-Babuška-Baumann version of DG. Numerical results are provided to illustrate the effectiveness of the proposed error estimators. Springer Science+Business Media, Inc., 2007 a posteriori error estimators nationallicence discontinuous Galerkin methods nationallicence IIPG nationallicence NIPG nationallicence OBB-DG nationallicence reactive transport nationallicence SIPG nationallicence Sun Shuyu Department of Mathematical Sciences, Clemson University, 29634, Clemson, SC, USA aut Wheeler Mary The Institute for Computational Engineering and Sciences, The University of Texas at Austin, 78712, Austin, TX, USA aut Computational Geosciences Kluwer Academic Publishers 11/2(2007-06-01), 87-101 1420-0597 11:2<87 2007 11 10596 https://doi.org/10.1007/s10596-007-9041-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10596-007-9041-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sun Shuyu Department of Mathematical Sciences, Clemson University, 29634, Clemson, SC, USA aut NATIONALLICENCE 700 1- Wheeler Mary The Institute for Computational Engineering and Sciences, The University of Texas at Austin, 78712, Austin, TX, USA aut NATIONALLICENCE 773 0- Computational Geosciences Kluwer Academic Publishers 11/2(2007-06-01), 87-101 1420-0597 11:2<87 2007 11 10596 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer