乐胖代购免代理版

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While the preconditioner generalizes a geometric multigrid preconditioner introduced in earlier works, its construction relies entirely on a standard AMG infrastructure built for solving the forward elliptic equation, thus allowing for it to be implemented using a variety of AMG methods and standard packages. Our analysis establishes a clear connection between the quality of the preconditioner and the AMG method used. The proposed strategy has a broad and robust applicability to problems with unstructured grids, complex geometry, and varying coefficients. The method is implemented using the Hypre package and several numerical examples are presented.<\/jats:p>","DOI":"10.1002\/nla.2333","type":"journal-article","created":{"date-parts":[[2020,9,24]],"date-time":"2020-09-24T12:24:50Z","timestamp":1600950290000},"update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Algebraic multigrid preconditioning of the Hessian in optimization constrained by a partial differential equation"],"prefix":"10.1002","volume":"28","author":[{"ORCID":"http:\/\/orcid.org\/0000-0003-3572-911X","authenticated-orcid":false,"given":"Andrew T.","family":"Barker","sequence":"first","affiliation":[{"name":"Center for Applied Scientific Computing Lawrence Livermore National Laboratory Livermore California USA"}]},{"given":"Andrei","family":"Dr\u0103g\u0103nescu","sequence":"additional","affiliation":[{"name":"University of Maryland, Baltimore County Baltimore Maryland 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