PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Nochetto R. H., Savare' G., Verdi C. Error control of nonlinear evolution equations. Preprint ercim.cnr.ian//1998-1091, 1998.
 
 
Abstract
(English)
We derive novel a posteriori error estimates for backward Euler approximations of evolution inequalities in Hilbert spaces. The underlying nonlinear (multivalued) monotone operator is subdifferential, or more generally angle-bounded. The estimates depend solely on the discrete solution and data, impose no constraints between consecutive time-steps, exhibit explicit stability factors, and are optimal with respect to both order and regularity.
Subject Evolution inequalities, error estimates



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