Matches in SemOpenAlex for { <https://semopenalex.org/work/W2702148523> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2702148523 endingPage "19" @default.
- W2702148523 startingPage "1" @default.
- W2702148523 abstract "Abstract The Anderson acceleration method is an algorithm for accelerating the convergence of fixed-point iterations, including the Picard method. Anderson acceleration was first proposed in 1965 and, for some years, has been used successfully to accelerate the convergence of self-consistent field iterations in electronic-structure computations. Recently, the method has attracted growing attention in other application areas and among numerical analysts. Compared with a Newton-like method, an advantage of Anderson acceleration is that there is no need to form the Jacobian matrix. Thus the method is easy to implement. In this paper, an Anderson-accelerated Picard method is employed to solve the three-temperature energy equations, which are a type of strong nonlinear radiation-diffusion equations. Two strategies are used to improve the robustness of the Anderson acceleration method. One strategy is to adjust the iterates when necessary to satisfy the physical constraint. Another strategy is to monitor and, if necessary, reduce the matrix condition number of the least-squares problem in the Anderson-acceleration implementation so that numerical stability can be guaranteed. Numerical results show that the Anderson-accelerated Picard method can solve the three-temperature energy equations efficiently. Compared with the Picard method without acceleration, Anderson acceleration can reduce the number of iterations by at least half. A comparison between a Jacobian-free Newton–Krylov method, the Picard method, and the Anderson-accelerated Picard method is conducted in this paper." @default.
- W2702148523 created "2017-06-30" @default.
- W2702148523 creator A5001445783 @default.
- W2702148523 creator A5049591038 @default.
- W2702148523 creator A5085243621 @default.
- W2702148523 date "2017-10-01" @default.
- W2702148523 modified "2023-10-12" @default.
- W2702148523 title "Anderson acceleration and application to the three-temperature energy equations" @default.
- W2702148523 cites W1958731492 @default.
- W2702148523 cites W1966537025 @default.
- W2702148523 cites W1966801132 @default.
- W2702148523 cites W2022081597 @default.
- W2702148523 cites W2038281434 @default.
- W2702148523 cites W2062702823 @default.
- W2702148523 cites W2070853549 @default.
- W2702148523 cites W2071486596 @default.
- W2702148523 cites W2074159967 @default.
- W2702148523 cites W2083717355 @default.
- W2702148523 cites W2100514507 @default.
- W2702148523 cites W2136558717 @default.
- W2702148523 cites W2171303908 @default.
- W2702148523 cites W2395188625 @default.
- W2702148523 cites W2963389536 @default.
- W2702148523 doi "https://doi.org/10.1016/j.jcp.2017.06.031" @default.
- W2702148523 hasPublicationYear "2017" @default.
- W2702148523 type Work @default.
- W2702148523 sameAs 2702148523 @default.
- W2702148523 citedByCount "42" @default.
- W2702148523 countsByYear W27021485232018 @default.
- W2702148523 countsByYear W27021485232019 @default.
- W2702148523 countsByYear W27021485232020 @default.
- W2702148523 countsByYear W27021485232021 @default.
- W2702148523 countsByYear W27021485232022 @default.
- W2702148523 countsByYear W27021485232023 @default.
- W2702148523 crossrefType "journal-article" @default.
- W2702148523 hasAuthorship W2702148523A5001445783 @default.
- W2702148523 hasAuthorship W2702148523A5049591038 @default.
- W2702148523 hasAuthorship W2702148523A5085243621 @default.
- W2702148523 hasConcept C117896860 @default.
- W2702148523 hasConcept C121332964 @default.
- W2702148523 hasConcept C121864883 @default.
- W2702148523 hasConcept C186370098 @default.
- W2702148523 hasConcept C33923547 @default.
- W2702148523 hasConcept C57879066 @default.
- W2702148523 hasConcept C62520636 @default.
- W2702148523 hasConcept C74650414 @default.
- W2702148523 hasConceptScore W2702148523C117896860 @default.
- W2702148523 hasConceptScore W2702148523C121332964 @default.
- W2702148523 hasConceptScore W2702148523C121864883 @default.
- W2702148523 hasConceptScore W2702148523C186370098 @default.
- W2702148523 hasConceptScore W2702148523C33923547 @default.
- W2702148523 hasConceptScore W2702148523C57879066 @default.
- W2702148523 hasConceptScore W2702148523C62520636 @default.
- W2702148523 hasConceptScore W2702148523C74650414 @default.
- W2702148523 hasFunder F4320321001 @default.
- W2702148523 hasFunder F4320336025 @default.
- W2702148523 hasLocation W27021485231 @default.
- W2702148523 hasOpenAccess W2702148523 @default.
- W2702148523 hasPrimaryLocation W27021485231 @default.
- W2702148523 hasRelatedWork W1997387375 @default.
- W2702148523 hasRelatedWork W2054042159 @default.
- W2702148523 hasRelatedWork W2055410097 @default.
- W2702148523 hasRelatedWork W2086979419 @default.
- W2702148523 hasRelatedWork W2115784580 @default.
- W2702148523 hasRelatedWork W2162821917 @default.
- W2702148523 hasRelatedWork W2518983850 @default.
- W2702148523 hasRelatedWork W2806018908 @default.
- W2702148523 hasRelatedWork W2808144633 @default.
- W2702148523 hasRelatedWork W3101388793 @default.
- W2702148523 hasVolume "347" @default.
- W2702148523 isParatext "false" @default.
- W2702148523 isRetracted "false" @default.
- W2702148523 magId "2702148523" @default.
- W2702148523 workType "article" @default.