TY - JOUR
T1 - Asymptotic Expansions and Extrapolations of $H^1$-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation
AU - Shi , Dongyang
AU - Tang , Qili
AU - Liao , Xin
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 610
EP - 624
PY - 2018
DA - 2018/05
SN - 7
DO - http://doi.org/10.4208/aamm.2013.m90
UR - https://global-sci.org/intro/article_detail/aamm/12066.html
KW - 
AB - <p style="text-align: justify;">In this paper, a high-accuracy $H^1$-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 $\mathcal{O}(h)$ to $\mathcal{O}(h^3)$ both for the original variable $u$ in $H^1(Ω)$ norm and for
the actual stress variable $\boldsymbol{P}=∇u_t$ 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.</p>