Volume 10, Issue 3
Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

Yanfang Lei ,  Hongtao Wang and Zhiyong Si

10.4208/aamm.OA-2017-0103

Adv. Appl. Math. Mech., 10 (2018), pp. 767-784

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  • Abstract

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 ǫ and h are sufficiently small. Our numerical experiments show that our method is effective and our analysis is right.

  • History

Published online: 2018-10

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