论文信息 - Three-Dimensional Finite Element Methods for the Stokes Problem

Three-Dimensional Finite Element Methods for the Stokes Problem

The tetrahedral finite element approximation of the Stokes problem is analyzed by means of polynomials piecewise of degree k+1 for the velocity and continuous piecewise of degree k for the pressure. A stability result is given for every $k\ge 1$.

Daniele Boffi | D. Boffi

[1] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .

[2] P. Hood,et al. A numerical solution of the Navier-Stokes equations using the finite element technique , 1973 .

[3] Rolf Stenberg,et al. On some three-dimensional finite elements for incompressible media , 1987 .

[4] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.

[5] F. Brezzi,et al. Stability of higher-order Hood-Taylor methods , 1991 .

[6] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.

[7] F. Brezzi. On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .

[8] F. Brezzi,et al. On the Stabilization of Finite Element Approximations of the Stokes Equations , 1984 .

[9] Rüdiger Verfürth,et al. Error estimates for a mixed finite element approximation of the Stokes equations , 1984 .

[10] Daniele Boffi,et al. STABILITY OF HIGHER ORDER TRIANGULAR HOOD-TAYLOR METHODS FOR THE STATIONARY STOKES EQUATIONS , 1994 .

[11] L. R. Scott,et al. Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials , 1985 .