多孔介质中可压缩可混溶驱动问题的共轭梯度迭代法的L^2模误差估计  

L^2-ERROR ESTIMATE OF CONJUGATE GRADIENT ITERATION METHOD FOR MISCIBLE COMPRESSIBLE DISPLACEMENT PROBLEM

作　　者：马克颖[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《高等学校计算数学学报》2006年第1期50-59,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金项目(10571108)国家自然科学基金项目(10271066;19972023)教育部博士点基金资助项目(20030422047).

摘　　要：Miscible compressible displacement in porous media is modelled by a nonlinear coupled system of two parabolic equations: the pressure equation and the concentration equation. The pressure is approximated by a standard Galerkin method while the concentration is approximated by a combination of a Galerkin method and the method of characteristics. A conjugate gradient iteration method is used to solve the algebraic problems arising from those two approximate schemes. By detailed theoretical analyses, L2-error estimate is obtained between the exact solution of original problem and the solution of conjugate gradient iteration method.Miscible compressible displacement in porous media is modelled by a nonlinear coupled system of two parabolic equations： the pressure equation and the concentration equation. The pressure is approximated by a standard Galerkin method while the concentration is approximated by a combination of a Galerkin method and the method of characteristics. A conjugate gradient iteration method is used to solve the algebraic problems arising from those two approximate schemes. By detailed theoretical analyses, L2-error estimate is obtained between the exact solution of original problem and the solution of conjugate gradient iteration method.

关 键 词：L^2模误差估计 驱动问题 多孔介质 可压缩 共轭梯度 混溶 迭代法 非线性抛物型方程 数学模型 饱和度方程 

分 类 号：O241.82[理学—计算数学] O357.3[理学—数学]