Adv. Appl. Math. Mech., 10 (2018), pp. 767-784.
Published online: 2018-10
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In this paper, a penalty finite element method is presented for the two dimensional stationary conduction-convection problems. The existence and the convergence of the penalty stationary conduction-convection formulation are shown. An optimal error estimate of the numerical velocity, pressure and temperature is provided for the penalty finite element method when the parameters $є$ and $h$ are sufficiently small. Our numerical experiments show that our method is effective and our analysis is right.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0103}, url = {http://global-sci.org/intro/article_detail/aamm/12235.html} }In this paper, a penalty finite element method is presented for the two dimensional stationary conduction-convection problems. The existence and the convergence of the penalty stationary conduction-convection formulation are shown. An optimal error estimate of the numerical velocity, pressure and temperature is provided for the penalty finite element method when the parameters $є$ and $h$ are sufficiently small. Our numerical experiments show that our method is effective and our analysis is right.