An H-1-Galerkin mixed finite element method for a class of heat transport equations

作者：Zhou, Zhaojie^*

来源：Applied Mathematical Modelling, 2010, 34(9): 2414-2425.

DOI：10.1016/j.apm.2009.11.007

• Heat transport equations
• H-1-Galerkin mixed finite element method
• The LBB stability condition
• Error estimate

In this paper, we discuss an H-1-Galerkin mixed finite element method for a class of heat transport equations in the one-dimensional case. Optimal error estimates in L-2-norm and H-1-norm are obtained for both semi-discrete and fully discrete approximation scheme. Moreover, a numerical example is presented to illustrate the effectiveness of the method.

• 出版日期2010-9
• 单位山东师范大学