共被期刊论文引用了3次
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| 1 | Moving finite element methods for time fractional partial differential equations显示文摘With the aim of simulating the blow-up solutions, a moving finite element method, based on nonuniform meshes both in time and in space, is proposed in this paper to solve time fractional partial differential equations (FPDEs). The unconditional stability and convergence rates of 2-α for time and r for space are proved when the method is used for the linear time FPDEs with α-th order time derivatives. Numerical examples are provided to support the theoretical findings, and the blow-up solutions for the nonlinear FPDEs are simulated by the method. | JIANG YingJun MA JingTang | 2013 | Science China Mathematics2013，56，6： | 9 |
| 2 | A POSTERIORI ERROR ANALYSIS FOR A FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATION TO A KIND OF REACTIVE TRANSPORT PROBLEMS显示文摘In order to obtain an expected numerical solution,a fully discrete discontinuous Galerkin method is applied to a kind of reactive transport problems in two dimension.That is to say,the space variable is discretized with the symmetric interior penalty Galerkin method(SIPG),and the time variable is done with the backward Euler method.Making use of the duality technique,hp approximation properties and the interpolation theory,a residual-type a posteriori error estimation is achieved,which can be used for adaptivity.Compared with the analyses of semi-discretization,the current presentation is more challenging and more significant. | Jiming YANG Yanping CHEN | 2012 | Journal of Systems Science & Complexity2012，25，2： | 1 |
| 3 | Superconvergence of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Compressible Miscible Displacement Problem显示文摘A combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem which includes molecular diffusion and dispersion in porous media is investigated. That is to say, the mixed finite element method with Raviart-Thomas space is applied to the flow equation, and the transport one is solved by the symmetric interior penalty discontinuous Galerkin (SIPG) approximation. Based on projection interpolations and induction hypotheses, a superconvergence estimate is obtained. During the analysis, an extension of the Darcy velocity along the Gauss line is also used in the evaluation of the coefficients in the Galerkin procedure for the concentration. | Ji-ming Yang Yanping Chen | 2011 | Acta Mathematicae Applicatae Sinica2011，27，3： | 1 |
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