Matches in SemOpenAlex for { <https://semopenalex.org/work/W1992902036> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W1992902036 endingPage "3523" @default.
- W1992902036 startingPage "3508" @default.
- W1992902036 abstract "Abstract In the numerical approximation of hierarchical models of thin bodies, there are two separate contributions to the total error: (a) modeling error is the error due to dimensional reduction, and (b) discretization error is the error due to the numerical approximation. Traditionally, estimation of these errors has been performed in terms of abstract quantities like the global energy norm, which does not give a clear representation of the error in the local features of the solution. Recently, a new class of finite element error estimation techniques has emerged wherein errors in a simulation are measured not in norms but in quantities of interest to the analyst. Following a brief overview of the literature, we focus on extending the theory of a posteriori estimation of the modeling error to local quantities of interest that have physical meaning. Independent estimates are obtained for the modeling and discretization errors in quantities of interest. These local estimates are used to develop goal-oriented adaptive modeling strategies in which the model is automatically adapted by controlling the two errors independently and effectively to obtain local quantities of interest to within a preset level of accuracy. Numerical examples are presented to demonstrate the accuracy of the error estimates and the adaptive strategy." @default.
- W1992902036 created "2016-06-24" @default.
- W1992902036 creator A5054464910 @default.
- W1992902036 creator A5064287663 @default.
- W1992902036 date "2007-08-01" @default.
- W1992902036 modified "2023-09-27" @default.
- W1992902036 title "Hierarchical models of thin elastic structures: Overview and recent advances in error estimation and adaptivity" @default.
- W1992902036 cites W1536407545 @default.
- W1992902036 cites W1765721402 @default.
- W1992902036 cites W1794873020 @default.
- W1992902036 cites W1967605889 @default.
- W1992902036 cites W1969682185 @default.
- W1992902036 cites W1971908487 @default.
- W1992902036 cites W1973965487 @default.
- W1992902036 cites W1976435787 @default.
- W1992902036 cites W1976496016 @default.
- W1992902036 cites W1985422345 @default.
- W1992902036 cites W1990056223 @default.
- W1992902036 cites W1990101688 @default.
- W1992902036 cites W1990133873 @default.
- W1992902036 cites W1995735870 @default.
- W1992902036 cites W1996461468 @default.
- W1992902036 cites W2005968012 @default.
- W1992902036 cites W2009674606 @default.
- W1992902036 cites W2009682053 @default.
- W1992902036 cites W2015197589 @default.
- W1992902036 cites W2017346595 @default.
- W1992902036 cites W2017837280 @default.
- W1992902036 cites W2023191820 @default.
- W1992902036 cites W2028063546 @default.
- W1992902036 cites W2045324214 @default.
- W1992902036 cites W2052128660 @default.
- W1992902036 cites W2053133088 @default.
- W1992902036 cites W2056993559 @default.
- W1992902036 cites W2064267196 @default.
- W1992902036 cites W2070391482 @default.
- W1992902036 cites W2074326450 @default.
- W1992902036 cites W2080685682 @default.
- W1992902036 cites W2081330222 @default.
- W1992902036 cites W2084862534 @default.
- W1992902036 cites W2095270108 @default.
- W1992902036 cites W2125600398 @default.
- W1992902036 cites W2128497093 @default.
- W1992902036 cites W2132114635 @default.
- W1992902036 cites W2133066748 @default.
- W1992902036 cites W2133147107 @default.
- W1992902036 cites W2135087420 @default.
- W1992902036 cites W2136062462 @default.
- W1992902036 cites W2142205936 @default.
- W1992902036 cites W2144622707 @default.
- W1992902036 cites W2146531299 @default.
- W1992902036 cites W2166575720 @default.
- W1992902036 cites W2206315619 @default.
- W1992902036 cites W2261621682 @default.
- W1992902036 cites W2266285536 @default.
- W1992902036 cites W2481618834 @default.
- W1992902036 cites W2555826189 @default.
- W1992902036 cites W2614798975 @default.
- W1992902036 cites W4248758651 @default.
- W1992902036 cites W78730896 @default.
- W1992902036 cites W2014670413 @default.
- W1992902036 doi "https://doi.org/10.1016/j.cma.2006.10.021" @default.
- W1992902036 hasPublicationYear "2007" @default.
- W1992902036 type Work @default.
- W1992902036 sameAs 1992902036 @default.
- W1992902036 citedByCount "3" @default.
- W1992902036 countsByYear W19929020362012 @default.
- W1992902036 countsByYear W19929020362019 @default.
- W1992902036 crossrefType "journal-article" @default.
- W1992902036 hasAuthorship W1992902036A5054464910 @default.
- W1992902036 hasAuthorship W1992902036A5064287663 @default.
- W1992902036 hasConcept C11413529 @default.
- W1992902036 hasConcept C41008148 @default.
- W1992902036 hasConceptScore W1992902036C11413529 @default.
- W1992902036 hasConceptScore W1992902036C41008148 @default.
- W1992902036 hasIssue "37-40" @default.
- W1992902036 hasLocation W19929020361 @default.
- W1992902036 hasOpenAccess W1992902036 @default.
- W1992902036 hasPrimaryLocation W19929020361 @default.
- W1992902036 hasRelatedWork W2003465964 @default.
- W1992902036 hasRelatedWork W2051487156 @default.
- W1992902036 hasRelatedWork W2333698505 @default.
- W1992902036 hasRelatedWork W2351491280 @default.
- W1992902036 hasRelatedWork W2371447506 @default.
- W1992902036 hasRelatedWork W2386767533 @default.
- W1992902036 hasRelatedWork W2390279801 @default.
- W1992902036 hasRelatedWork W2748952813 @default.
- W1992902036 hasRelatedWork W2899084033 @default.
- W1992902036 hasRelatedWork W303980170 @default.
- W1992902036 hasVolume "196" @default.
- W1992902036 isParatext "false" @default.
- W1992902036 isRetracted "false" @default.
- W1992902036 magId "1992902036" @default.
- W1992902036 workType "article" @default.