An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations

作者：Shi Dongyang^*; Wang Lin

来源：Journal of Systems Science and Complexity, 2011, 24(5): 1020-1032.

DOI：10.1007/s11424-011-9025-0

• Anisotropic meshes
• error estimates
• moving grids
• nonconforming finite element
• parabolic integro-differential equations

A Crank-Nicolson scheme based on nonconforming finite element with moving grids is discussed for a class of parabolic integro-differential equations under anisotropic meshes. The corresponding convergence analysis is presented and the error estimates are obtained by using the interpolation operator instead of the conventional elliptic projection which is an indispensable tool in the convergence analysis of traditional finite element methods in previous literature.

• 出版日期2011-10
• 单位郑州大学