全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Hongxing Rui , Hao Pan
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (1), pp.70-92Springer
摘要:A block-centered finite difference method is introduced to solve an initial and boundary value problem for a nonlinear parabolic equation to model the slightly compressible flow in porous media, in which the velocity–pressure relation is described by Darcy–Forchheimer’s...
作者:Xiaoli Li , Hongxing Rui
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.72 (2), pp.863-891Springer
摘要:In this article, a two-grid block-centered finite difference scheme is introduced and analyzed to solve the nonlinear time-fractional parabolic equation. This method is considered where the nonlinear problem is solved only on a coarse grid of size H and a linear problem is solved...
作者:Hongxing Rui , Jian Hou
来源:[J].Journal of Scientific Computing(IF 1.71), 2016, Vol.66 (3), pp.968-986Springer
摘要:Abstract(#br)In this paper, we propose a new mixed finite element method, called stabilized mixed finite element method, for the approximation of optimal control problems constrained by a first-order elliptic system. This method is obtained by adding suitable elementwise lea...
作者:Jin Li , Hongxing Rui , Dehao Yu
来源:[J].Journal of Scientific Computing(IF 1.71), 2016, Vol.66 (2), pp.740-760Springer
摘要:Abstract(#br)The computation of trapezoidal rule for the supersingular integrals on a circle in boundary element methods is discussed. When the singular point coincides with some priori known point, the convergence rate of the trapezoidal rule is higher than the global one which ...
作者:Hongxing Rui , Jingyuan Zhang
来源:[J].Computer Methods in Applied Mechanics and Engineering(IF 2.617), 2017, Vol.315, pp.169-189Elsevier
摘要:Abstract(#br)In this article, we present a stabilized mixed finite element method for solving the coupled Stokes and Darcy flow equations with a solute transport. The mathematical model includes the velocity and pressure equations and concentration equation where the viscosi...
作者:Hongxing Rui , Ming Sun
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2018Elsevier
摘要:Abstract(#br)A finite difference method on staggered grids is constructed on general nonuniform rectangular partition for linear elasticity problems. Stability, optimal-order error estimates in discrete H 1 -norms on general nonuniform grids and second-order superconvergence...
作者:Xiaoli Li , Hongxing Rui
来源:[J].Applied Mathematics and Computation(IF 1.349), 2019, Vol.363Elsevier
摘要:Abstract(#br)In this article, a block-centered finite difference method for the nonlinear Sobolev equation is introduced and analyzed. The stability and the global convergence of the scheme are proved rigorously. Some a priori estimates of discrete norms with superconvergenc...
作者:Xiaoli Li , Hongxing Rui
来源:[J].Applied Numerical Mathematics(IF 1.152), 2019Elsevier
摘要:Abstract(#br)In this article, a block-centered finite difference method for the nonlinear fractional cable equation is introduced and analyzed. The unconditional stability and the global convergence of the scheme are proved rigorously. Some a priori estimates of discrete nor...

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