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Appl., 30 (2005), pp. 45--61]. Our framework allows for lognormal coefficients whose realizations are not uniformly bounded away from zero and infinity. We establish finite element error bounds for the pathwise optimal controls. This analysis is nontrivial due to the limited spatial regularity and the lack of uniform ellipticity and boundedness of the diffusion operator. We apply the error bounds to prove convergence of a multilevel Monte Carlo estimator for the expected value of the pathwise optimal controls. In addition we analyze the computational complexity of the multilevel estimator. We perform numerical experiments in two-dimensional space to confirm the convergence result and the complexity bound.<\/jats:p>","DOI":"10.1137\/16m109870x","type":"journal-article","created":{"date-parts":[[2017,4,27]],"date-time":"2017-04-27T14:18:27Z","timestamp":1493302707000},"page":"466-492","source":"Crossref","is-referenced-by-count":43,"title":["Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients"],"prefix":"10.1137","volume":"5","author":[{"given":"Ahmad Ahmad","family":"Ali","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Elisabeth","family":"Ullmann","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michael","family":"Hinze","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,4,27]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","unstructured":"J.P. 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