caa a22 4500 44583059X CHVBK 20180317145314.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s10255-011-0081-y doi (NATIONALLICENCE)springer-10.1007/s10255-011-0081-y Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem [Elektronische Daten] [Ji-ming Yang, Yanping Chen] A combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem which includes molecular diffusion and dispersion in porous media is investigated. That is to say, the mixed finite element method with Raviart-Thomas space is applied to the flow equation, and the transport one is solved by the symmetric interior penalty discontinuous Galerkin (SIPG) approximation. Based on projection interpolations and induction hypotheses, a superconvergence estimate is obtained. During the analysis, an extension of the Darcy velocity along the Gauss line is also used in the evaluation of the coefficients in the Galerkin procedure for the concentration. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 superconvergence nationallicence mixed finite element nationallicence discontinuous Galerkin nationallicence compressible nationallicence Yang Ji-ming College of Science, Hunan Institute of Engineering, 411104, Xiangtan, China aut Chen Yanping School of Mathematical Sciences, South China Normal University, 510631, Guangzhou, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 481-494 0168-9673 27:3<481 2011 27 10255 https://doi.org/10.1007/s10255-011-0081-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0081-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yang Ji-ming College of Science, Hunan Institute of Engineering, 411104, Xiangtan, China aut NATIONALLICENCE 700 1- Chen Yanping School of Mathematical Sciences, South China Normal University, 510631, Guangzhou, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/3(2011-07-01), 481-494 0168-9673 27:3<481 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer