The nonoverlapping domain decomposition method for parabolic partialdifferential equation on general domain is considered. A kind of domain decompositionthat uses the finite element procedure is given. The problem ove...The nonoverlapping domain decomposition method for parabolic partialdifferential equation on general domain is considered. A kind of domain decompositionthat uses the finite element procedure is given. The problem over the domains can beimplemented on parallel computer. Convergence analysis is also presented.展开更多
Abstract Two phase,incompressible miscible flow in porous media is governed by a system of nonlinear partial differential equations.The pressure equation,which is elliptic in appearance,is discretized by a standard fi...Abstract Two phase,incompressible miscible flow in porous media is governed by a system of nonlinear partial differential equations.The pressure equation,which is elliptic in appearance,is discretized by a standard five points difference method.The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.A class of biquadratic interpolation is introduced for the method of characteristics.Convergence rate is proved to be O(Δt+h 2).展开更多
文摘The nonoverlapping domain decomposition method for parabolic partialdifferential equation on general domain is considered. A kind of domain decompositionthat uses the finite element procedure is given. The problem over the domains can beimplemented on parallel computer. Convergence analysis is also presented.
文摘Abstract Two phase,incompressible miscible flow in porous media is governed by a system of nonlinear partial differential equations.The pressure equation,which is elliptic in appearance,is discretized by a standard five points difference method.The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.A class of biquadratic interpolation is introduced for the method of characteristics.Convergence rate is proved to be O(Δt+h 2).
