Analysis of second order finite volume element methods for pseudo-parabolic equations in three spatial dimensions

作者：Yang Min^*

来源：Applied Mathematics and Computation, 2008, 196(1): 94-104.

DOI：10.1016/j.amc.2007.05.039

• finite volume element
• pseudo-parabolic equation
• three spatial dimensions
• second order accuracy
• error estimate

In this paper we study a finite volume element approximation of pseudo-parabolic equations in three spatial dimensions. The triquadratic elements are used as solution space to obtain a high order convergence rate. Based on some special dual partition, we prove the optimal error estimate in H-1-norm of second order accuracy. Numerical results are also given at the end to demonstrate the efficiency of the method.

• 出版日期2008-2-15
• 单位烟台大学