TY - JOUR
T1 - Robust a-Posteriori Estimators for Multilevel Discretizations of Reaction-Diffusion Systems
AU - V. Klein & M. Peszynska
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 1
EP - 27
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/671.html
KW - multilevel finite elements, a-priori error estimates, a-posteriori error estimators, reaction-diffusion system.
AB - <p style="text-align: justify;">We define a multilevel finite element discretization for a coupled stationary reaction-diffusion system in which each component can be defined on a separate grid. We prove convergence
of the scheme and propose residual a-posteriori estimators for the error in the natural energy norm
for the system. The estimators are robust in the coefficients of the system. We prove upper and
lower bounds and illustrate the theory with numerical experiments.</p>