NONCONFORMING H-1-GALERKIN MIXED FINITE ELEMENT METHOD FOR STRONGLY DAMPED WAVE EQUATIONS

作者：Shi, Dong-yang; Tang, Qi-li^*

来源：Numerical Functional Analysis and Optimization, 2013, 34(12): 1348-1369.

DOI：10.1080/01630563.2013.809581

• Damped wave equations
• H-1-Galerkin mixed scheme
• Nonconforming finite elements
• Superconvergence

In this article, the superconvergence analysis of nonconforming H-1-Galerkin mixed finite element method for strongly damped wave equations is studied under almost uniform meshes. The EQ(1)(rot) and quasi-Wilson elements are chosen to approximate the original and the real stress variables, respectively. By virtue of interpolation operators instead of Ritz projection of the original variable u and Ritz-Volterra projection of the real stress variable p, the supercloseness and superconvergence results in broken H-1(Omega) norm for u and broken H(div; Omega) norm for p are derived for both semidiscrete and fully discrete schemes. Furthermore, some numerical results are given to confirm the theoretical analysis.

• 出版日期2013-12-2
• 单位郑州大学; 河南大学