Year: 2011
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 1–27
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-IJNAM-671
International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 1 : pp. 1–27
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: multilevel finite elements a-priori error estimates a-posteriori error estimators reaction-diffusion system.