Matches in SemOpenAlex for { <https://semopenalex.org/work/W2081657996> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2081657996 endingPage "630" @default.
- W2081657996 startingPage "613" @default.
- W2081657996 abstract "Fast solvers for systems of partial differential equations (PDEs) in two space dimensions are considered. The solvers are used as direct solution methods or as preconditioners for a conjugate gradient (CG)-like iteration. Mainly first-order PDEs are considered, but second-order terms may be included. Employing a semi-circulant framework, PDEs with constant coefficients in one space direction and arbitrary boundary conditions are considered. A factorization of the inverse of the difference approximation matrix is described. This factorization is exploited to derive a direct solver, where the complexity for the first right-hand side is $mathcal{O}(n^{{3 / 2}} log _2 n)$, but only $mathcal{O}(nlog _2 n)$ for subsequent right-hand sides. From the factorization an iteration resembling the Schur complement matrix method known from domain decomposition is also constructed. The eigendecomposition of the iteration matrix is investigated. The new solution methods are compared with iterations with semicirculant preconditioners and to Gaussian elimination. An application solving the time-dependent, almost incompressible Navier–Stokes equations is also studied." @default.
- W2081657996 created "2016-06-24" @default.
- W2081657996 creator A5021895817 @default.
- W2081657996 creator A5056523037 @default.
- W2081657996 date "1996-05-01" @default.
- W2081657996 modified "2023-09-26" @default.
- W2081657996 title "Semicirculant Solvers and Boundary Corrections for First-Order Partial Differential Equations" @default.
- W2081657996 doi "https://doi.org/10.1137/s106482759324999x" @default.
- W2081657996 hasPublicationYear "1996" @default.
- W2081657996 type Work @default.
- W2081657996 sameAs 2081657996 @default.
- W2081657996 citedByCount "12" @default.
- W2081657996 countsByYear W20816579962014 @default.
- W2081657996 crossrefType "journal-article" @default.
- W2081657996 hasAuthorship W2081657996A5021895817 @default.
- W2081657996 hasAuthorship W2081657996A5056523037 @default.
- W2081657996 hasConcept C106487976 @default.
- W2081657996 hasConcept C11413529 @default.
- W2081657996 hasConcept C114614502 @default.
- W2081657996 hasConcept C115973184 @default.
- W2081657996 hasConcept C121332964 @default.
- W2081657996 hasConcept C126255220 @default.
- W2081657996 hasConcept C126312332 @default.
- W2081657996 hasConcept C134306372 @default.
- W2081657996 hasConcept C135628077 @default.
- W2081657996 hasConcept C155332342 @default.
- W2081657996 hasConcept C158693339 @default.
- W2081657996 hasConcept C159985019 @default.
- W2081657996 hasConcept C163716315 @default.
- W2081657996 hasConcept C167431342 @default.
- W2081657996 hasConcept C187834632 @default.
- W2081657996 hasConcept C192562407 @default.
- W2081657996 hasConcept C198880260 @default.
- W2081657996 hasConcept C2731191 @default.
- W2081657996 hasConcept C28826006 @default.
- W2081657996 hasConcept C33923547 @default.
- W2081657996 hasConcept C62354387 @default.
- W2081657996 hasConcept C62520636 @default.
- W2081657996 hasConcept C6802819 @default.
- W2081657996 hasConcept C81184566 @default.
- W2081657996 hasConcept C93779851 @default.
- W2081657996 hasConcept C97355855 @default.
- W2081657996 hasConceptScore W2081657996C106487976 @default.
- W2081657996 hasConceptScore W2081657996C11413529 @default.
- W2081657996 hasConceptScore W2081657996C114614502 @default.
- W2081657996 hasConceptScore W2081657996C115973184 @default.
- W2081657996 hasConceptScore W2081657996C121332964 @default.
- W2081657996 hasConceptScore W2081657996C126255220 @default.
- W2081657996 hasConceptScore W2081657996C126312332 @default.
- W2081657996 hasConceptScore W2081657996C134306372 @default.
- W2081657996 hasConceptScore W2081657996C135628077 @default.
- W2081657996 hasConceptScore W2081657996C155332342 @default.
- W2081657996 hasConceptScore W2081657996C158693339 @default.
- W2081657996 hasConceptScore W2081657996C159985019 @default.
- W2081657996 hasConceptScore W2081657996C163716315 @default.
- W2081657996 hasConceptScore W2081657996C167431342 @default.
- W2081657996 hasConceptScore W2081657996C187834632 @default.
- W2081657996 hasConceptScore W2081657996C192562407 @default.
- W2081657996 hasConceptScore W2081657996C198880260 @default.
- W2081657996 hasConceptScore W2081657996C2731191 @default.
- W2081657996 hasConceptScore W2081657996C28826006 @default.
- W2081657996 hasConceptScore W2081657996C33923547 @default.
- W2081657996 hasConceptScore W2081657996C62354387 @default.
- W2081657996 hasConceptScore W2081657996C62520636 @default.
- W2081657996 hasConceptScore W2081657996C6802819 @default.
- W2081657996 hasConceptScore W2081657996C81184566 @default.
- W2081657996 hasConceptScore W2081657996C93779851 @default.
- W2081657996 hasConceptScore W2081657996C97355855 @default.
- W2081657996 hasIssue "3" @default.
- W2081657996 hasLocation W20816579961 @default.
- W2081657996 hasOpenAccess W2081657996 @default.
- W2081657996 hasPrimaryLocation W20816579961 @default.
- W2081657996 hasRelatedWork W1970155233 @default.
- W2081657996 hasRelatedWork W1992270324 @default.
- W2081657996 hasRelatedWork W2070544430 @default.
- W2081657996 hasRelatedWork W2078692435 @default.
- W2081657996 hasRelatedWork W2081657996 @default.
- W2081657996 hasRelatedWork W2083159384 @default.
- W2081657996 hasRelatedWork W2362814553 @default.
- W2081657996 hasRelatedWork W2465182851 @default.
- W2081657996 hasRelatedWork W2737675553 @default.
- W2081657996 hasRelatedWork W3070532440 @default.
- W2081657996 hasVolume "17" @default.
- W2081657996 isParatext "false" @default.
- W2081657996 isRetracted "false" @default.
- W2081657996 magId "2081657996" @default.
- W2081657996 workType "article" @default.