A quadratic finite volume element method for parabolic problems on quadrilateral meshes

作者：Yang, Min^*; Liu, Jiangguo

来源：IMA Journal of Numerical Analysis, 2011, 31(3): 1038-1061.

DOI：10.1093/imanum/drp054

• error estimation
• finite volume element methods
• parabolic equations
• quadrilateral meshes
• second-order accuracy

In this paper we utilize affine biquadratic elements and a two-step temporal discretization to develop a finite volume element method for parabolic problems on quadrilateral meshes. The method is proved to have an optimal order convergence rate in L(2)(0, T; H(1)()) under the 'asymptotically parallelogram' mesh assumption. Numerical experiments that corroborate the theoretical analysis are also presented.

• 出版日期2011-7
• 单位烟台大学