Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079222606> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2079222606 endingPage "1445" @default.
- W2079222606 startingPage "1418" @default.
- W2079222606 abstract "The L2 -norm version of first-order system least squares (FOSLS) attempts to reformulate a given system of partial differential equations so that applying a least-squares principle yields a functional whose bilinear part is H1 -elliptic. This ellipticity means that the minimization process amounts to solving a weakly coupled system of Poisson-like scalar equations. An unfortunate limitation of the L2 -norm FOSLS approach is that this product H1 equivalence generally requires sufficient smoothness of the original problem. Inverse-norm FOSLS overcomes this limitation, but at a substantial loss of real efficiency. The FOSLL* approach introduced here is a promising alternative that is based on recasting the original problem as a minimization principle involving the adjoint equations. This paper provides a theoretical foundation for the FOSLL* methodology and illustrates its performance by applying it numerically to several examples. Results for the so-called two-stage approach applied to discontinuous coefficient problems show promising robustness and optimality. Indeed, FOSLL* appears to exhibit the generality of the inverse-norm FOSLS approach while retaining the full efficiency of the L2 -norm approach." @default.
- W2079222606 created "2016-06-24" @default.
- W2079222606 creator A5007726175 @default.
- W2079222606 creator A5008694561 @default.
- W2079222606 creator A5023481731 @default.
- W2079222606 creator A5047719926 @default.
- W2079222606 date "2001-01-01" @default.
- W2079222606 modified "2023-10-18" @default.
- W2079222606 title "First-Order System $CLCL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations" @default.
- W2079222606 cites W1965034652 @default.
- W2079222606 cites W2020684044 @default.
- W2079222606 cites W2029277969 @default.
- W2079222606 cites W2031298897 @default.
- W2079222606 cites W2034081303 @default.
- W2079222606 cites W2052229944 @default.
- W2079222606 cites W2059537627 @default.
- W2079222606 cites W2065157529 @default.
- W2079222606 cites W2075887353 @default.
- W2079222606 cites W2076160755 @default.
- W2079222606 cites W2132292023 @default.
- W2079222606 cites W2144932012 @default.
- W2079222606 cites W4230108662 @default.
- W2079222606 cites W4250155727 @default.
- W2079222606 cites W4252104256 @default.
- W2079222606 doi "https://doi.org/10.1137/s0036142900388049" @default.
- W2079222606 hasPublicationYear "2001" @default.
- W2079222606 type Work @default.
- W2079222606 sameAs 2079222606 @default.
- W2079222606 citedByCount "52" @default.
- W2079222606 countsByYear W20792226062012 @default.
- W2079222606 countsByYear W20792226062013 @default.
- W2079222606 countsByYear W20792226062014 @default.
- W2079222606 countsByYear W20792226062015 @default.
- W2079222606 countsByYear W20792226062017 @default.
- W2079222606 countsByYear W20792226062018 @default.
- W2079222606 countsByYear W20792226062019 @default.
- W2079222606 countsByYear W20792226062020 @default.
- W2079222606 countsByYear W20792226062021 @default.
- W2079222606 countsByYear W20792226062022 @default.
- W2079222606 countsByYear W20792226062023 @default.
- W2079222606 crossrefType "journal-article" @default.
- W2079222606 hasAuthorship W2079222606A5007726175 @default.
- W2079222606 hasAuthorship W2079222606A5008694561 @default.
- W2079222606 hasAuthorship W2079222606A5023481731 @default.
- W2079222606 hasAuthorship W2079222606A5047719926 @default.
- W2079222606 hasConcept C126255220 @default.
- W2079222606 hasConcept C134306372 @default.
- W2079222606 hasConcept C147764199 @default.
- W2079222606 hasConcept C17744445 @default.
- W2079222606 hasConcept C191795146 @default.
- W2079222606 hasConcept C199539241 @default.
- W2079222606 hasConcept C28826006 @default.
- W2079222606 hasConcept C33923547 @default.
- W2079222606 hasConcept C93779851 @default.
- W2079222606 hasConceptScore W2079222606C126255220 @default.
- W2079222606 hasConceptScore W2079222606C134306372 @default.
- W2079222606 hasConceptScore W2079222606C147764199 @default.
- W2079222606 hasConceptScore W2079222606C17744445 @default.
- W2079222606 hasConceptScore W2079222606C191795146 @default.
- W2079222606 hasConceptScore W2079222606C199539241 @default.
- W2079222606 hasConceptScore W2079222606C28826006 @default.
- W2079222606 hasConceptScore W2079222606C33923547 @default.
- W2079222606 hasConceptScore W2079222606C93779851 @default.
- W2079222606 hasIssue "4" @default.
- W2079222606 hasLocation W20792226061 @default.
- W2079222606 hasOpenAccess W2079222606 @default.
- W2079222606 hasPrimaryLocation W20792226061 @default.
- W2079222606 hasRelatedWork W1965139815 @default.
- W2079222606 hasRelatedWork W1968390457 @default.
- W2079222606 hasRelatedWork W2115180176 @default.
- W2079222606 hasRelatedWork W232368253 @default.
- W2079222606 hasRelatedWork W2401850100 @default.
- W2079222606 hasRelatedWork W2910133962 @default.
- W2079222606 hasRelatedWork W2990473846 @default.
- W2079222606 hasRelatedWork W3084216571 @default.
- W2079222606 hasRelatedWork W4283826563 @default.
- W2079222606 hasRelatedWork W4382469906 @default.
- W2079222606 hasVolume "39" @default.
- W2079222606 isParatext "false" @default.
- W2079222606 isRetracted "false" @default.
- W2079222606 magId "2079222606" @default.
- W2079222606 workType "article" @default.