A priori error analysis of a discontinuous Galerkin approximation for a kind of compressible miscible displacement problems  

作　　者：YANG JiMing1,& CHEN YanPing2 1College of Science,Hunan Institute of Engineering,Xiangtan 411104,China 2School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China 

出　　处：《Science China Mathematics》2010年第10期2679-2696,共18页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.10971074);the Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme (2008);the National Basic Research Program (Grant No.2005CB321703);Hunan Provincial Natural Science Foundation of China (Grant No.10JJ3021);Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province

摘　　要：A kind of compressible miscible displacement problems which include molecular diffusion and dispersion in porous media are investigated.A symmetric interior penalty discontinuous Galerkin (SIPG) method is applied to the coupled system of flow and transport.Using the induction hypotheses instead of the cut-off operator and the interpolation projection properties,a priori hp error estimates are presented.The error bounds in L2(H1) norm for concentration and in L∞(L2) norm for velocity are optimal in h and suboptimal in p with a loss of power 1/2.A kind of compressible miscible displacement problems which include molecular diffusion and dispersion in porous media are investigated.A symmetric interior penalty discontinuous Galerkin (SIPG) method is applied to the coupled system of flow and transport.Using the induction hypotheses instead of the cut-off operator and the interpolation projection properties,a priori hp error estimates are presented.The error bounds in L2(H1) norm for concentration and in L∞(L2) norm for velocity are optimal in h and suboptimal in p with a loss of power 1/2.

关 键 词：a priori error DISCONTINUOUS GALERKIN COMPRESSIBLE MISCIBLE DISPLACEMENT coupled system 

分 类 号：O35[理学—流体力学]