论文信息 - A Penalty and Extrapolation Method for the Stationary Stokes Equations

A Penalty and Extrapolation Method for the Stationary Stokes Equations

A penalty-extrapolation procedure is analyzed for avoiding the. problem of the construction of trial functions satisfying ${\operatorname{div}}\,{\bf v} = 0$ and ${\bf v = 0}$ on $\partial \Omega $ in the approximation of the stationary Stokes equations.

Richard S. Falk | J. Thomas King

[1] J. Lions,et al. Problèmes aux limites non homogènes et applications , 1968 .

[2] Roger Temam,et al. On the theory and numerical analysis of the Navier-Stokes equations , 1973 .

[3] A. Aziz. The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations , 1972 .

[4] Vidar Thomée,et al. Semidiscrete least-squares methods for a parabolic boundary value problem , 1972 .

[5] I. Babuska. The Finite Element Method with Penalty , 1973 .

[6] J. King,et al. New error bounds for the penalty method and extrapolation , 1974 .

[7] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .