@Article{AAMM-7-5,
author = {Shi, Dongyang and Tang, Qili and Xin, Liao},
title = {Asymptotic Expansions and Extrapolations of $H^1$-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {5},
pages = {610--624},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m90},
url = {https://global-sci.com/article/73413/asymptotic-expansions-and-extrapolations-of-h1-galerkin-mixed-finite-element-method-for-strongly-damped-wave-equation}
}