期刊
INFORMATICA
卷 30, 期 2, 页码 243-268出版社
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2019.205
关键词
finite element method; Stokes problem; Uzawa conjugate gradient; MATLAB
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.
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