Journal
INFORMATICA
Volume 30, Issue 2, Pages 243-268Publisher
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2019.205
Keywords
finite element method; Stokes problem; Uzawa conjugate gradient; MATLAB
Ask authors/readers for more resources
We propose a fastMATLAB implementation of themini-element (i.e. P1-Bubble/P1) for the finite element approximation of the generalized Stokes equation in 2D and 3D. We use cell arrays to derive vectorized assembling functions. We also propose a Uzawa conjugate gradient method as an iterative solver for the global Stokes system. Numerical experiments show that our implementation has an (almost) optimal time-scaling. For 3D problems, the proposed Uzawa conjugate gradient algorithm outperforms MATLAB built-in linear solvers.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available