Matches in SemOpenAlex for { <https://semopenalex.org/work/W2011203316> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2011203316 endingPage "3426" @default.
- W2011203316 startingPage "3413" @default.
- W2011203316 abstract "We present an a posteriori finite element procedure that provides inexpensive, rigorous, accurate, and constant-free lower and upper bounds for the error in the outputs – engineering quantities of interest – predicted by (Lagrangian) reduced-order approximations to coercive elliptic partial differential equations. The bound calculation requires (i) the reduced-order approximation for the primal and dual field variables, (ii) a lower bound for the minimum eigenvalue of the symmetric part of the operator, and (iii) the solution of purely local symmetric Neumann subproblems defined on small decoupled nodal overlapping patches. There are two critical components to the Neumann subproblems: a partition-of-unity attenuated local residual which eliminates hybrid fluxes from both the construction and analysis of the resulting estimators while simultaneously preserving the global bound property; and a L2-regularization term which provides stability despite the absence of local nodal equilibrium of the reduced-order primal and dual solutions. The estimator bounding property and optimal convergence rate (as the reduced-order basis is enriched) are proven, and corroborating numerical results are presented for two examples: a heat conduction fin (symmetric) problem; and a conjugate advection-diffusion/multi-material heat transfer (non-symmetric) problem." @default.
- W2011203316 created "2016-06-24" @default.
- W2011203316 creator A5053838855 @default.
- W2011203316 creator A5063350067 @default.
- W2011203316 creator A5089357934 @default.
- W2011203316 date "2001-03-01" @default.
- W2011203316 modified "2023-10-03" @default.
- W2011203316 title "Output bounds for reduced-order approximations of elliptic partial differential equations" @default.
- W2011203316 cites W182469685 @default.
- W2011203316 cites W1966388474 @default.
- W2011203316 cites W1968287676 @default.
- W2011203316 cites W1989594010 @default.
- W2011203316 cites W1994336408 @default.
- W2011203316 cites W1995404822 @default.
- W2011203316 cites W1995917749 @default.
- W2011203316 cites W2007797220 @default.
- W2011203316 cites W2017837280 @default.
- W2011203316 cites W2042426282 @default.
- W2011203316 cites W2050426719 @default.
- W2011203316 cites W2051775663 @default.
- W2011203316 cites W2056027508 @default.
- W2011203316 cites W2094274747 @default.
- W2011203316 cites W2156368851 @default.
- W2011203316 cites W2156592123 @default.
- W2011203316 cites W2161024376 @default.
- W2011203316 cites W2482075898 @default.
- W2011203316 cites W4242432073 @default.
- W2011203316 cites W4292079189 @default.
- W2011203316 cites W93613361 @default.
- W2011203316 doi "https://doi.org/10.1016/s0045-7825(00)00275-9" @default.
- W2011203316 hasPublicationYear "2001" @default.
- W2011203316 type Work @default.
- W2011203316 sameAs 2011203316 @default.
- W2011203316 citedByCount "32" @default.
- W2011203316 countsByYear W20112033162012 @default.
- W2011203316 countsByYear W20112033162014 @default.
- W2011203316 countsByYear W20112033162016 @default.
- W2011203316 countsByYear W20112033162017 @default.
- W2011203316 countsByYear W20112033162019 @default.
- W2011203316 countsByYear W20112033162020 @default.
- W2011203316 countsByYear W20112033162021 @default.
- W2011203316 crossrefType "journal-article" @default.
- W2011203316 hasAuthorship W2011203316A5053838855 @default.
- W2011203316 hasAuthorship W2011203316A5063350067 @default.
- W2011203316 hasAuthorship W2011203316A5089357934 @default.
- W2011203316 hasConcept C105795698 @default.
- W2011203316 hasConcept C119599485 @default.
- W2011203316 hasConcept C121332964 @default.
- W2011203316 hasConcept C127162648 @default.
- W2011203316 hasConcept C127413603 @default.
- W2011203316 hasConcept C134306372 @default.
- W2011203316 hasConcept C158693339 @default.
- W2011203316 hasConcept C185429906 @default.
- W2011203316 hasConcept C28826006 @default.
- W2011203316 hasConcept C33923547 @default.
- W2011203316 hasConcept C57869625 @default.
- W2011203316 hasConcept C62520636 @default.
- W2011203316 hasConcept C77553402 @default.
- W2011203316 hasConcept C93779851 @default.
- W2011203316 hasConceptScore W2011203316C105795698 @default.
- W2011203316 hasConceptScore W2011203316C119599485 @default.
- W2011203316 hasConceptScore W2011203316C121332964 @default.
- W2011203316 hasConceptScore W2011203316C127162648 @default.
- W2011203316 hasConceptScore W2011203316C127413603 @default.
- W2011203316 hasConceptScore W2011203316C134306372 @default.
- W2011203316 hasConceptScore W2011203316C158693339 @default.
- W2011203316 hasConceptScore W2011203316C185429906 @default.
- W2011203316 hasConceptScore W2011203316C28826006 @default.
- W2011203316 hasConceptScore W2011203316C33923547 @default.
- W2011203316 hasConceptScore W2011203316C57869625 @default.
- W2011203316 hasConceptScore W2011203316C62520636 @default.
- W2011203316 hasConceptScore W2011203316C77553402 @default.
- W2011203316 hasConceptScore W2011203316C93779851 @default.
- W2011203316 hasIssue "26-27" @default.
- W2011203316 hasLocation W20112033161 @default.
- W2011203316 hasOpenAccess W2011203316 @default.
- W2011203316 hasPrimaryLocation W20112033161 @default.
- W2011203316 hasRelatedWork W1979642929 @default.
- W2011203316 hasRelatedWork W1988224349 @default.
- W2011203316 hasRelatedWork W1998702944 @default.
- W2011203316 hasRelatedWork W2012455789 @default.
- W2011203316 hasRelatedWork W2229609461 @default.
- W2011203316 hasRelatedWork W2355819661 @default.
- W2011203316 hasRelatedWork W314650428 @default.
- W2011203316 hasRelatedWork W3210723456 @default.
- W2011203316 hasRelatedWork W3214543110 @default.
- W2011203316 hasRelatedWork W4226153041 @default.
- W2011203316 hasVolume "190" @default.
- W2011203316 isParatext "false" @default.
- W2011203316 isRetracted "false" @default.
- W2011203316 magId "2011203316" @default.
- W2011203316 workType "article" @default.