THE MODIFIED METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OPERATOR-SPLITTING PROCEDURES FOR COMPRESSIBLE MULTICOMPONENT DISPLACEMENT PROBLEM  

作　　者：YUAN Yirang (Institute of Mathematics, Shandong University, Jinan 250100, China) 

出　　处：《Journal of Systems Science & Complexity》2003年第1期30-45,共16页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the Major State Research Program of China(Grant No.19990328),the National Natural Sciences Foundation of China(Grant Nos.19871051 and 19972039),the National Tackling Key Problems Program and the Doctorate Foundation of the S

摘　　要：For the three-dimensional compressible multicomponent displacement problem we put forward the modified method of characteristics with finite element operator-splitting procedures and make use of operator-splitting,characteristic method,calculus of variations,energy method,negative norm estimate,two kinds of test functions and the theory of prior estimates and techniques.Optimal order estimates in L^2 norm are derived for the error in the approximate solution.These methods have been successfully used in oil-gas resources estimation,enhanced oil recovery simulation and seawater intrusion numerical simulation.

关 键 词：Multicomponent displacement 3-dimensional compressibility OPERATOR-SPLITTING characteristics finite element optimal order L2 error estimates. 

分 类 号：O241.8[理学—计算数学]