Certified error bounds for uncertain elliptic equations

Authors:
Arnold Neumaier
Affiliations:
Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, A-1090 Wien, Austria
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

We develop a method for adaptive mesh refinement for steady state problems that arise in the numerical solution of Cahn-Hilliard equations with an obstacle free energy. The problem is discretized in time by the backward-Euler method and in space by linear ...