论文信息 - The Finite Difference Streamline Diffusion Methods for Sobolev Equations with Convection-Dominated Term - 字舞流文

The Finite Difference Streamline Diffusion Methods for Sobolev Equations with Convection-Dominated Term

In this paper, we give two finite difference streamline diffusion (FDSD) schemes for solving linear Sobolev equations with convection-dominated term. Stability and optimal error estimates for them are derived in suitable norms.

Danping Yang | Tongjun Sun | Danping Yang | T. Sun

[1] O. Axelsson,et al. Analytical and Numerical Approaches to Asymptotic Problems in Analysis. , 1983 .

[2] E. Richard,et al. TIME-STEPPING GALERKIN METHODS FOR NONLINEAR SOBOLEV PARTIAL DIFFERENTIAL EQUATIONS* , 1978 .

[3] Claes Johnson,et al. Finite element methods for linear hyperbolic problems , 1984 .

[4] G. I. Barenblatt,et al. Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata] , 1960 .

[5] Jukka Saranen,et al. Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations , 1986 .

[6] M. Gurtin,et al. On a theory of heat conduction involving two temperatures , 1968 .

[7] Richard E. Ewing,et al. A coupled non-linear hyperbolic-sobolev system , 1977 .

[8] Peter Hansbo,et al. A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equation , 1990 .

[9] Uno Nävert,et al. An Analysis of some Finite Element Methods for Advection-Diffusion Problems , 1981 .

[10] P. Davis,et al. A quasilinear parabolic and a related third order problem , 1972 .

[11] Richard E. Ewing,et al. Numerical Solution of Sobolev Partial Differential Equations , 1975 .

[12] Peter Hansbo,et al. A velocity pressure streamline diffusion finite element method for Navier-Stokes equations , 1990 .