A simple pressure stabilization method for the Stokes equation

By Roland Becker, Peter Hansbo. 2007

47 citations recorded by the source corpus.

In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/19e74e334b7290ac6daa5e6bcdd3c0391c928ce5