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A basis adaptation strategy previously introduced by the authors is integrated into a design optimization framework that construes the optimization cost function as the quantity of interest and computes stochastic adapted bases as functions of design space parameters. With these adapted bases, the stochastic integrations at each design point are evaluated as low-dimensional integrals (mostly one dimensional). The proposed approach is demonstrated on a well-placement problem where the uncertainty is in the form of a stochastic process describing the permeability of the subsurface. An analysis of the method is carried out to better understand the effect of design parameters on the smoothness of the adaptation isometry.<\/jats:p>","DOI":"10.1017\/s0890060417000166","type":"journal-article","created":{"date-parts":[[2017,8,3]],"date-time":"2017-08-03T04:41:43Z","timestamp":1501735303000},"page":"265-276","source":"Crossref","is-referenced-by-count":15,"title":["Homogeneous chaos basis adaptation for design optimization under uncertainty: Application to the oil well placement problem"],"prefix":"10.1017","volume":"31","author":[{"given":"Charanraj","family":"Thimmisetty","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Panagiotis","family":"Tsilifis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roger","family":"Ghanem","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2017,8,3]]},"reference":[{"key":"S0890060417000166_ref19","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2002.7104"},{"key":"S0890060417000166_ref27","article-title":"Estimation of three-phase relative permeability and residual oil data","volume":"12","author":"Stone","year":"1973","journal-title":"Journal of Petroleum Technology"},{"key":"S0890060417000166_ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s10596-006-9025-7"},{"key":"S0890060417000166_ref23","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729586"},{"key":"S0890060417000166_ref6","doi-asserted-by":"publisher","DOI":"10.1137\/0916069"},{"key":"S0890060417000166_ref11","doi-asserted-by":"crossref","unstructured":"Eldred M.S. 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