关键词: 抛物型方程, 三角形剖分, 对偶剖分, 有限体积元法, 误差估计

Abstract: The present paper deals with a finite volume element method of the parabolic equations based on triangle subdivision and BB dual sub divisions. The trial space is the piecewise linear functions on triangular meshes, the test space is the piecewise constants corresponding to BB dual subdivisions. Optimal L² and H¹ convergence rates for semi-discrete and fully discrete methods are proved.

Key words: parabolic equation, triangle subdivision, dual subdivis ion, finite volume element method, error estimate