Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 47, Issue 2, Pages 861-886Publisher
SIAM PUBLICATIONS
DOI: 10.1137/060675666
Keywords
adaptive finite element method; convergence rates; computational complexity; quantity of interest; a posteriori error estimators
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Funding
- Netherlands Organization for Scientific Research
- European Community's Human Potential Programme [HPRN-CT-2002-00286]
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An adaptive finite element method is analyzed for approximating functionals of the solution of symmetric elliptic second order boundary value problems. We show that the method converges and derive a favorable upper bound for its convergence rate and computational complexity. We illustrate our theoretical findings with numerical results.
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