Abstract
In this paper we introduce and analyze the Schur complement technique to a weak Galerkin (WG for short) finite element method for solving Stokes equation. Due to the special structure of the weak functions, the main idea of Schur decomposition method is to express the interior velocity functions defined inside partition elements in terms of the velocity functions defined on the partition boundary and the pressure functions. This can largely reduce the degree of freedom of the derived discrete linear system. We investigate the well-posedness of the solution generated from Schur complement and its coincidence with the standard WG method. Finally, we exhibit some numerical experiments to illustrate the theoretical analysis.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call