Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384823932> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W4384823932 abstract "Abstract We consider here a cell‐centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity , a highly nonlinear function, by arithmetic, upstream and harmonic means. The nonlinearities in the equation can lead to changes in soil conductivity over several orders of magnitude and discretizations with respect to space variables often produce stiff systems of differential equations. A fully implicit time discretization is provided by backward Euler one‐step formula; the resulting nonlinear algebraic system is solved by an inexact Newton Armijo–Goldstein algorithm, requiring the solution of a sequence of linear systems involving Jacobian matrices. We prove some new results concerning the distribution of the Jacobians eigenvalues and the explicit expression of their entries. Moreover, we explore some connections between the saturation of the soil and the ill conditioning of the Jacobians. The information on eigenvalues justifies the effectiveness of some preconditioner approaches which are widely used in the solution of Richards equation. We also propose a new software framework to experiment with scalable and robust preconditioners suitable for efficient parallel simulations at very large scales. Performance results on a literature test case show that our framework is very promising in the advance toward realistic simulations at extreme scale." @default.
- W4384823932 created "2023-07-21" @default.
- W4384823932 creator A5018974435 @default.
- W4384823932 creator A5031298177 @default.
- W4384823932 creator A5074454343 @default.
- W4384823932 creator A5077824645 @default.
- W4384823932 date "2023-07-19" @default.
- W4384823932 modified "2023-09-26" @default.
- W4384823932 title "Why diffusion‐based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale" @default.
- W4384823932 cites W1653104632 @default.
- W4384823932 cites W1971283143 @default.
- W4384823932 cites W1982276128 @default.
- W4384823932 cites W1992107487 @default.
- W4384823932 cites W1993137824 @default.
- W4384823932 cites W1993161026 @default.
- W4384823932 cites W2006631142 @default.
- W4384823932 cites W2025501795 @default.
- W4384823932 cites W2026366033 @default.
- W4384823932 cites W2045953836 @default.
- W4384823932 cites W2055907446 @default.
- W4384823932 cites W2065973083 @default.
- W4384823932 cites W2073867489 @default.
- W4384823932 cites W2099370652 @default.
- W4384823932 cites W2142304406 @default.
- W4384823932 cites W2152741328 @default.
- W4384823932 cites W2162604832 @default.
- W4384823932 cites W2166751342 @default.
- W4384823932 cites W2765333801 @default.
- W4384823932 cites W2808718522 @default.
- W4384823932 cites W3195620369 @default.
- W4384823932 cites W4230843528 @default.
- W4384823932 cites W4256359184 @default.
- W4384823932 doi "https://doi.org/10.1002/nla.2523" @default.
- W4384823932 hasPublicationYear "2023" @default.
- W4384823932 type Work @default.
- W4384823932 citedByCount "0" @default.
- W4384823932 crossrefType "journal-article" @default.
- W4384823932 hasAuthorship W4384823932A5018974435 @default.
- W4384823932 hasAuthorship W4384823932A5031298177 @default.
- W4384823932 hasAuthorship W4384823932A5074454343 @default.
- W4384823932 hasAuthorship W4384823932A5077824645 @default.
- W4384823932 hasBestOaLocation W43848239321 @default.
- W4384823932 hasConcept C103272765 @default.
- W4384823932 hasConcept C121332964 @default.
- W4384823932 hasConcept C132459708 @default.
- W4384823932 hasConcept C134306372 @default.
- W4384823932 hasConcept C158622935 @default.
- W4384823932 hasConcept C158693339 @default.
- W4384823932 hasConcept C159390177 @default.
- W4384823932 hasConcept C159750122 @default.
- W4384823932 hasConcept C167431342 @default.
- W4384823932 hasConcept C200331156 @default.
- W4384823932 hasConcept C28826006 @default.
- W4384823932 hasConcept C33923547 @default.
- W4384823932 hasConcept C39432304 @default.
- W4384823932 hasConcept C62520636 @default.
- W4384823932 hasConcept C6802819 @default.
- W4384823932 hasConcept C73000952 @default.
- W4384823932 hasConcept C768646 @default.
- W4384823932 hasConceptScore W4384823932C103272765 @default.
- W4384823932 hasConceptScore W4384823932C121332964 @default.
- W4384823932 hasConceptScore W4384823932C132459708 @default.
- W4384823932 hasConceptScore W4384823932C134306372 @default.
- W4384823932 hasConceptScore W4384823932C158622935 @default.
- W4384823932 hasConceptScore W4384823932C158693339 @default.
- W4384823932 hasConceptScore W4384823932C159390177 @default.
- W4384823932 hasConceptScore W4384823932C159750122 @default.
- W4384823932 hasConceptScore W4384823932C167431342 @default.
- W4384823932 hasConceptScore W4384823932C200331156 @default.
- W4384823932 hasConceptScore W4384823932C28826006 @default.
- W4384823932 hasConceptScore W4384823932C33923547 @default.
- W4384823932 hasConceptScore W4384823932C39432304 @default.
- W4384823932 hasConceptScore W4384823932C62520636 @default.
- W4384823932 hasConceptScore W4384823932C6802819 @default.
- W4384823932 hasConceptScore W4384823932C73000952 @default.
- W4384823932 hasConceptScore W4384823932C768646 @default.
- W4384823932 hasLocation W43848239321 @default.
- W4384823932 hasLocation W43848239322 @default.
- W4384823932 hasOpenAccess W4384823932 @default.
- W4384823932 hasPrimaryLocation W43848239321 @default.
- W4384823932 hasRelatedWork W1973597697 @default.
- W4384823932 hasRelatedWork W2023707949 @default.
- W4384823932 hasRelatedWork W2030632361 @default.
- W4384823932 hasRelatedWork W2088932963 @default.
- W4384823932 hasRelatedWork W2343581069 @default.
- W4384823932 hasRelatedWork W2906694036 @default.
- W4384823932 hasRelatedWork W3113562683 @default.
- W4384823932 hasRelatedWork W3158048031 @default.
- W4384823932 hasRelatedWork W4200631258 @default.
- W4384823932 hasRelatedWork W4226284250 @default.
- W4384823932 isParatext "false" @default.
- W4384823932 isRetracted "false" @default.
- W4384823932 workType "article" @default.