TY - JOUR
T1 - An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation
AU - Catalina Domínguez, Ricardo Prato Torres & Heidy González
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 365
EP - 384
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/eajam.100317.020318a
UR - https://global-sci.org/intro/article_detail/eajam/12211.html
KW - Harmonic elastodynamics equation, domain decomposition method, Nitsche method, non-matching mesh, a posteriori error estimator, adaptive method.
AB - <p style="text-align: justify;">We develop a reliable residual-based a posteriori error estimator for a non-conforming
method with non-matching meshes for a harmonic elastodynamics equation
and show that the approximation method converges with an optimal order to the exact
solution. Moreover, we propose an adaptive strategy to reduce computational cost and
derive better approximations for problems with singularities and with large approximating
systems. Numerical experiments confirm theoretical conclusions.</p>