Matches in SemOpenAlex for { <https://semopenalex.org/work/W2020165864> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2020165864 abstract "The incomplete Cholesky decomposition is known as an excellent smoother in a multigrid iteration and as a preconditioner for the conjugate gradient method. However, the existence of the decomposition is only ensured if the system matrix is an M-matrix. It is well-known that finite element methods usually do not lead to M-matrices. In contrast to this restricting fact, numerical experiments show that, even in cases where the system matrix is not an M-matrix the behaviour of the incomplete Cholesky decomposition apparently does not depend on the structure of the grid. In this paper the behaviour of the method is investigated theoretically for a model problem, where the M-matrix condition is violated systematically by a suitable perturbation. It is shown that in this example the stability of the incomplete Cholesky decomposition is independent of the perturbation and that the analysis of the smoothing property can be carried through. This can be considered as a generalization of the results for the so called square-grid triangulation, as has been established by Wittum in [12] and [11]." @default.
- W2020165864 created "2016-06-24" @default.
- W2020165864 creator A5049235940 @default.
- W2020165864 date "1995-01-01" @default.
- W2020165864 modified "2023-09-26" @default.
- W2020165864 title "On the stability of the incomplete Cholesky decomposition for a singular perturbed problem, where the coefficient matrix is not an M-matrix" @default.
- W2020165864 cites W2005040897 @default.
- W2020165864 cites W2016168728 @default.
- W2020165864 cites W2033084284 @default.
- W2020165864 cites W2033340616 @default.
- W2020165864 cites W2038278632 @default.
- W2020165864 cites W2074674664 @default.
- W2020165864 cites W2165178723 @default.
- W2020165864 cites W4230055019 @default.
- W2020165864 cites W4240691726 @default.
- W2020165864 doi "https://doi.org/10.1002/nla.1680020103" @default.
- W2020165864 hasPublicationYear "1995" @default.
- W2020165864 type Work @default.
- W2020165864 sameAs 2020165864 @default.
- W2020165864 citedByCount "1" @default.
- W2020165864 crossrefType "journal-article" @default.
- W2020165864 hasAuthorship W2020165864A5049235940 @default.
- W2020165864 hasConcept C105795698 @default.
- W2020165864 hasConcept C106487976 @default.
- W2020165864 hasConcept C121332964 @default.
- W2020165864 hasConcept C126255220 @default.
- W2020165864 hasConcept C1276947 @default.
- W2020165864 hasConcept C130956294 @default.
- W2020165864 hasConcept C134306372 @default.
- W2020165864 hasConcept C158693339 @default.
- W2020165864 hasConcept C167431342 @default.
- W2020165864 hasConcept C185592680 @default.
- W2020165864 hasConcept C188060507 @default.
- W2020165864 hasConcept C28826006 @default.
- W2020165864 hasConcept C29705727 @default.
- W2020165864 hasConcept C33923547 @default.
- W2020165864 hasConcept C34727166 @default.
- W2020165864 hasConcept C3770464 @default.
- W2020165864 hasConcept C42355184 @default.
- W2020165864 hasConcept C43617362 @default.
- W2020165864 hasConcept C44363057 @default.
- W2020165864 hasConcept C46085209 @default.
- W2020165864 hasConcept C49712288 @default.
- W2020165864 hasConcept C60866291 @default.
- W2020165864 hasConcept C62520636 @default.
- W2020165864 hasConcept C6802819 @default.
- W2020165864 hasConcept C81184566 @default.
- W2020165864 hasConceptScore W2020165864C105795698 @default.
- W2020165864 hasConceptScore W2020165864C106487976 @default.
- W2020165864 hasConceptScore W2020165864C121332964 @default.
- W2020165864 hasConceptScore W2020165864C126255220 @default.
- W2020165864 hasConceptScore W2020165864C1276947 @default.
- W2020165864 hasConceptScore W2020165864C130956294 @default.
- W2020165864 hasConceptScore W2020165864C134306372 @default.
- W2020165864 hasConceptScore W2020165864C158693339 @default.
- W2020165864 hasConceptScore W2020165864C167431342 @default.
- W2020165864 hasConceptScore W2020165864C185592680 @default.
- W2020165864 hasConceptScore W2020165864C188060507 @default.
- W2020165864 hasConceptScore W2020165864C28826006 @default.
- W2020165864 hasConceptScore W2020165864C29705727 @default.
- W2020165864 hasConceptScore W2020165864C33923547 @default.
- W2020165864 hasConceptScore W2020165864C34727166 @default.
- W2020165864 hasConceptScore W2020165864C3770464 @default.
- W2020165864 hasConceptScore W2020165864C42355184 @default.
- W2020165864 hasConceptScore W2020165864C43617362 @default.
- W2020165864 hasConceptScore W2020165864C44363057 @default.
- W2020165864 hasConceptScore W2020165864C46085209 @default.
- W2020165864 hasConceptScore W2020165864C49712288 @default.
- W2020165864 hasConceptScore W2020165864C60866291 @default.
- W2020165864 hasConceptScore W2020165864C62520636 @default.
- W2020165864 hasConceptScore W2020165864C6802819 @default.
- W2020165864 hasConceptScore W2020165864C81184566 @default.
- W2020165864 hasLocation W20201658641 @default.
- W2020165864 hasOpenAccess W2020165864 @default.
- W2020165864 hasPrimaryLocation W20201658641 @default.
- W2020165864 hasRelatedWork W110268878 @default.
- W2020165864 hasRelatedWork W1483430560 @default.
- W2020165864 hasRelatedWork W1560591762 @default.
- W2020165864 hasRelatedWork W1561569551 @default.
- W2020165864 hasRelatedWork W1606439292 @default.
- W2020165864 hasRelatedWork W1884063203 @default.
- W2020165864 hasRelatedWork W1995258902 @default.
- W2020165864 hasRelatedWork W1997321933 @default.
- W2020165864 hasRelatedWork W2043076121 @default.
- W2020165864 hasRelatedWork W2043616122 @default.
- W2020165864 hasRelatedWork W2059084675 @default.
- W2020165864 hasRelatedWork W21034442 @default.
- W2020165864 hasRelatedWork W2159328772 @default.
- W2020165864 hasRelatedWork W2312625147 @default.
- W2020165864 hasRelatedWork W2371939231 @default.
- W2020165864 hasRelatedWork W2414253335 @default.
- W2020165864 hasRelatedWork W2480565432 @default.
- W2020165864 hasRelatedWork W2748288466 @default.
- W2020165864 hasRelatedWork W3006906848 @default.
- W2020165864 hasRelatedWork W72191520 @default.
- W2020165864 isParatext "false" @default.
- W2020165864 isRetracted "false" @default.
- W2020165864 magId "2020165864" @default.
- W2020165864 workType "article" @default.