Matches in SemOpenAlex for { <https://semopenalex.org/work/W4310792247> ?p ?o ?g. }
- W4310792247 endingPage "104" @default.
- W4310792247 startingPage "98" @default.
- W4310792247 abstract "In this paper, we present a simple proof of the coerciveness of first-order system least-squares methods for general (possibly indefinite) second-order linear elliptic PDEs under a minimal uniqueness assumption. The proof is inspired by Ku's proof [36] based on the a priori estimate of the PDE. For general linear second-order elliptic PDEs, the uniqueness, existence, and well-posedness are equivalent due to the compactness of the operator and Fredholm alternative. Thus only a minimal uniqueness assumption is assumed: the homogeneous equation has a unique zero solution. The proof presented in the paper is a straightforward and short proof using the inf-sup stability of the standard variational formulation. The proof can potentially be applied to other equations or settings once having the standard formulation's stability. As an application, we also discuss least-squares finite element methods for problems with a nonsingular H−1 right-hand side." @default.
- W4310792247 created "2022-12-17" @default.
- W4310792247 creator A5060613485 @default.
- W4310792247 date "2023-01-01" @default.
- W4310792247 modified "2023-10-17" @default.
- W4310792247 title "A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs" @default.
- W4310792247 cites W1545761024 @default.
- W4310792247 cites W1866311589 @default.
- W4310792247 cites W1965034652 @default.
- W4310792247 cites W1976140148 @default.
- W4310792247 cites W1990258816 @default.
- W4310792247 cites W1990941154 @default.
- W4310792247 cites W2007809587 @default.
- W4310792247 cites W2008004031 @default.
- W4310792247 cites W2008849850 @default.
- W4310792247 cites W2009985306 @default.
- W4310792247 cites W2015148405 @default.
- W4310792247 cites W2020571215 @default.
- W4310792247 cites W2021411519 @default.
- W4310792247 cites W2023874953 @default.
- W4310792247 cites W2029384438 @default.
- W4310792247 cites W2044372353 @default.
- W4310792247 cites W2046300718 @default.
- W4310792247 cites W2057644340 @default.
- W4310792247 cites W2070346441 @default.
- W4310792247 cites W2071928229 @default.
- W4310792247 cites W2083739356 @default.
- W4310792247 cites W2099656682 @default.
- W4310792247 cites W2103026454 @default.
- W4310792247 cites W2119759746 @default.
- W4310792247 cites W2132292023 @default.
- W4310792247 cites W2164410804 @default.
- W4310792247 cites W2200592550 @default.
- W4310792247 cites W2589552012 @default.
- W4310792247 cites W2963355225 @default.
- W4310792247 cites W2965698011 @default.
- W4310792247 cites W3016664815 @default.
- W4310792247 cites W3047787866 @default.
- W4310792247 cites W3098514373 @default.
- W4310792247 cites W4230108662 @default.
- W4310792247 doi "https://doi.org/10.1016/j.camwa.2022.11.021" @default.
- W4310792247 hasPublicationYear "2023" @default.
- W4310792247 type Work @default.
- W4310792247 citedByCount "1" @default.
- W4310792247 countsByYear W43107922472023 @default.
- W4310792247 crossrefType "journal-article" @default.
- W4310792247 hasAuthorship W4310792247A5060613485 @default.
- W4310792247 hasConcept C10138342 @default.
- W4310792247 hasConcept C105795698 @default.
- W4310792247 hasConcept C111472728 @default.
- W4310792247 hasConcept C134306372 @default.
- W4310792247 hasConcept C138885662 @default.
- W4310792247 hasConcept C161505775 @default.
- W4310792247 hasConcept C162324750 @default.
- W4310792247 hasConcept C179603306 @default.
- W4310792247 hasConcept C182306322 @default.
- W4310792247 hasConcept C185429906 @default.
- W4310792247 hasConcept C202444582 @default.
- W4310792247 hasConcept C2777021972 @default.
- W4310792247 hasConcept C2780586882 @default.
- W4310792247 hasConcept C28826006 @default.
- W4310792247 hasConcept C33923547 @default.
- W4310792247 hasConcept C70610323 @default.
- W4310792247 hasConcept C75553542 @default.
- W4310792247 hasConcept C96442724 @default.
- W4310792247 hasConcept C9936470 @default.
- W4310792247 hasConceptScore W4310792247C10138342 @default.
- W4310792247 hasConceptScore W4310792247C105795698 @default.
- W4310792247 hasConceptScore W4310792247C111472728 @default.
- W4310792247 hasConceptScore W4310792247C134306372 @default.
- W4310792247 hasConceptScore W4310792247C138885662 @default.
- W4310792247 hasConceptScore W4310792247C161505775 @default.
- W4310792247 hasConceptScore W4310792247C162324750 @default.
- W4310792247 hasConceptScore W4310792247C179603306 @default.
- W4310792247 hasConceptScore W4310792247C182306322 @default.
- W4310792247 hasConceptScore W4310792247C185429906 @default.
- W4310792247 hasConceptScore W4310792247C202444582 @default.
- W4310792247 hasConceptScore W4310792247C2777021972 @default.
- W4310792247 hasConceptScore W4310792247C2780586882 @default.
- W4310792247 hasConceptScore W4310792247C28826006 @default.
- W4310792247 hasConceptScore W4310792247C33923547 @default.
- W4310792247 hasConceptScore W4310792247C70610323 @default.
- W4310792247 hasConceptScore W4310792247C75553542 @default.
- W4310792247 hasConceptScore W4310792247C96442724 @default.
- W4310792247 hasConceptScore W4310792247C9936470 @default.
- W4310792247 hasFunder F4320321592 @default.
- W4310792247 hasLocation W43107922471 @default.
- W4310792247 hasOpenAccess W4310792247 @default.
- W4310792247 hasPrimaryLocation W43107922471 @default.
- W4310792247 hasRelatedWork W2045956890 @default.
- W4310792247 hasRelatedWork W2050829265 @default.
- W4310792247 hasRelatedWork W2052109794 @default.
- W4310792247 hasRelatedWork W2098586728 @default.
- W4310792247 hasRelatedWork W2320384189 @default.
- W4310792247 hasRelatedWork W2950111327 @default.
- W4310792247 hasRelatedWork W2964351868 @default.
- W4310792247 hasRelatedWork W3009267245 @default.
- W4310792247 hasRelatedWork W3161443230 @default.