Volume 7, Issue 5
Asymptotic Expansions and Extrapolations of H1-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation

Dongyang Shi ,  Qili Tang and Xin Liao

10.4208/aamm.2013.m90

Adv. Appl. Math. Mech., 7 (2015), pp. 610-624.

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  • Abstract

In this paper, a high-accuracy H1-Galerkin mixed finite element method (MFEM) for strongly damped wave equation is studied by linear triangular finite element. By constructing a suitable extrapolation scheme, the convergence rates can be improved from O(h) to O(h3) both for the original variable u in H1(Ω) norm and for the actual stress variable p = ∇ut in H(div;Ω) norm, respectively. Finally, numerical results are presented to confirm the validity of the theoretical analysis and excellent performance of the proposed method.

  • History

Published online: 2018-05

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