Matches in SemOpenAlex for { <https://semopenalex.org/work/W1845982450> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W1845982450 abstract "In this paper, we extend the reduced-basis methods developed earlier for wave equations to goal-oriented wave equations with a ne parameter dependence. The essential new ingredient is the dual (or adjoint) problem and the use of its solution in a sampling procedure to pick up “goal-orientedly” parameter samples. First, we introduce the reduced-basis recipe — Galerkin projection onto a space YN spanned by the reduced basis functions which are constructed from the solutions of the governing partial di erential equation at several selected points in parameter space. Second, we propose a new “goal-oriented” Proper Orthogonal Decomposition (POD)‐Greedy sampling procedure to construct these associated basis functions. Third, based on the assumption of a ne parameter dependence, we use the o ine-online computational procedures developed earlier to split the computational procedure into o ine and online stages. We verify the proposed computational procedure by applying it to a three-dimensional simulation dental implant problem. The good numerical results show that our proposed procedure performs better than the standard POD‐Greedy procedure in terms of the accuracy of output functionals." @default.
- W1845982450 created "2016-06-24" @default.
- W1845982450 creator A5014555327 @default.
- W1845982450 creator A5027163198 @default.
- W1845982450 creator A5030696689 @default.
- W1845982450 date "2013-05-15" @default.
- W1845982450 modified "2023-09-27" @default.
- W1845982450 title "A goal-oriented reduced basis method for the wave equation in inverse analysis" @default.
- W1845982450 cites W1556611003 @default.
- W1845982450 cites W1977681898 @default.
- W1845982450 cites W2013519714 @default.
- W1845982450 cites W2064726659 @default.
- W1845982450 cites W2094265151 @default.
- W1845982450 cites W2104225554 @default.
- W1845982450 cites W2110917150 @default.
- W1845982450 cites W2171467223 @default.
- W1845982450 cites W1983528929 @default.
- W1845982450 hasPublicationYear "2013" @default.
- W1845982450 type Work @default.
- W1845982450 sameAs 1845982450 @default.
- W1845982450 citedByCount "1" @default.
- W1845982450 countsByYear W18459824502013 @default.
- W1845982450 crossrefType "posted-content" @default.
- W1845982450 hasAuthorship W1845982450A5014555327 @default.
- W1845982450 hasAuthorship W1845982450A5027163198 @default.
- W1845982450 hasAuthorship W1845982450A5030696689 @default.
- W1845982450 hasConcept C106131492 @default.
- W1845982450 hasConcept C11413529 @default.
- W1845982450 hasConcept C121332964 @default.
- W1845982450 hasConcept C12426560 @default.
- W1845982450 hasConcept C126255220 @default.
- W1845982450 hasConcept C134306372 @default.
- W1845982450 hasConcept C135628077 @default.
- W1845982450 hasConcept C140779682 @default.
- W1845982450 hasConcept C186899397 @default.
- W1845982450 hasConcept C2524010 @default.
- W1845982450 hasConcept C28826006 @default.
- W1845982450 hasConcept C31972630 @default.
- W1845982450 hasConcept C33923547 @default.
- W1845982450 hasConcept C41008148 @default.
- W1845982450 hasConcept C51823790 @default.
- W1845982450 hasConcept C57493831 @default.
- W1845982450 hasConcept C5917680 @default.
- W1845982450 hasConcept C59696629 @default.
- W1845982450 hasConcept C97355855 @default.
- W1845982450 hasConceptScore W1845982450C106131492 @default.
- W1845982450 hasConceptScore W1845982450C11413529 @default.
- W1845982450 hasConceptScore W1845982450C121332964 @default.
- W1845982450 hasConceptScore W1845982450C12426560 @default.
- W1845982450 hasConceptScore W1845982450C126255220 @default.
- W1845982450 hasConceptScore W1845982450C134306372 @default.
- W1845982450 hasConceptScore W1845982450C135628077 @default.
- W1845982450 hasConceptScore W1845982450C140779682 @default.
- W1845982450 hasConceptScore W1845982450C186899397 @default.
- W1845982450 hasConceptScore W1845982450C2524010 @default.
- W1845982450 hasConceptScore W1845982450C28826006 @default.
- W1845982450 hasConceptScore W1845982450C31972630 @default.
- W1845982450 hasConceptScore W1845982450C33923547 @default.
- W1845982450 hasConceptScore W1845982450C41008148 @default.
- W1845982450 hasConceptScore W1845982450C51823790 @default.
- W1845982450 hasConceptScore W1845982450C57493831 @default.
- W1845982450 hasConceptScore W1845982450C5917680 @default.
- W1845982450 hasConceptScore W1845982450C59696629 @default.
- W1845982450 hasConceptScore W1845982450C97355855 @default.
- W1845982450 hasLocation W18459824501 @default.
- W1845982450 hasOpenAccess W1845982450 @default.
- W1845982450 hasPrimaryLocation W18459824501 @default.
- W1845982450 hasRelatedWork W1610971146 @default.
- W1845982450 hasRelatedWork W1973410513 @default.
- W1845982450 hasRelatedWork W1978260875 @default.
- W1845982450 hasRelatedWork W1984671366 @default.
- W1845982450 hasRelatedWork W1995642868 @default.
- W1845982450 hasRelatedWork W2007499758 @default.
- W1845982450 hasRelatedWork W2034840616 @default.
- W1845982450 hasRelatedWork W2068795410 @default.
- W1845982450 hasRelatedWork W2108708063 @default.
- W1845982450 hasRelatedWork W2108910082 @default.
- W1845982450 hasRelatedWork W2113713593 @default.
- W1845982450 hasRelatedWork W2462082248 @default.
- W1845982450 hasRelatedWork W2479330356 @default.
- W1845982450 hasRelatedWork W259723797 @default.
- W1845982450 hasRelatedWork W2752597834 @default.
- W1845982450 hasRelatedWork W2761475568 @default.
- W1845982450 hasRelatedWork W2949474597 @default.
- W1845982450 hasRelatedWork W2973597075 @default.
- W1845982450 hasRelatedWork W2974078346 @default.
- W1845982450 hasRelatedWork W3102356157 @default.
- W1845982450 isParatext "false" @default.
- W1845982450 isRetracted "false" @default.
- W1845982450 magId "1845982450" @default.
- W1845982450 workType "article" @default.