Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995149483> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W1995149483 abstract "A key aspect in any algebraic multilevel procedure is to be able to reliably capture the physical behavior behind system coefficients. However, the modeling of complex reservoir scenarios generally involves the computation of extremely discontinuous and nonlinear coefficients that, in turn, compromise the robustness and efficiency of smoothing and coarsening strategies. In addition, the need of dealing with large discretized domains leads to highly ill-conditioned systems that represent a true challenge to any linear solver technology known today. In this work, we exploit the fact that flow trend information can be used as a basis for developing a robust percolative aggregation (PA) two-stage preconditioning method. To this end, we identify coefficient aggregates by a means of an efficient version of the Hoshen-Kopelman percolation algorithm suitable for any flow network structure. By partitioning and reordering unknowns according to these aggregates, we obtain a set of high-conductive blocks followed by a low-conductive block. Diagonal scaling allows for weakening the interaction between these high- and low- conductive blocks plus improving the overall conditioning of the system. The solution of the high-conductive blocks approximates well the solution of the original problem. Remaining sources of errors from this approximation are mainly due to small eigenvalues that are properly eliminated with a deflation step. The combination of the algebraic solution of the high-conductive blocks with deflation is realized as a two-stage preconditioner strategy. The deflation stage is carried out by further isolating the aggregate blocks with a matrix compensation procedure. We validate the performance of the PA approach against ILU preconditioning. Preliminary numerical results indicate that the PA two-stage preconditioning can be used as a promising alternative to employ existing algebraic multilevel methods in a more effective way." @default.
- W1995149483 created "2016-06-24" @default.
- W1995149483 creator A5003120570 @default.
- W1995149483 creator A5036522852 @default.
- W1995149483 date "2008-09-08" @default.
- W1995149483 modified "2023-09-23" @default.
- W1995149483 title "A Novel Percolative Aggregation Approach for Solving Highly Ill-Conditioned Systems" @default.
- W1995149483 doi "https://doi.org/10.3997/2214-4609.20146369" @default.
- W1995149483 hasPublicationYear "2008" @default.
- W1995149483 type Work @default.
- W1995149483 sameAs 1995149483 @default.
- W1995149483 citedByCount "0" @default.
- W1995149483 crossrefType "proceedings-article" @default.
- W1995149483 hasAuthorship W1995149483A5003120570 @default.
- W1995149483 hasAuthorship W1995149483A5036522852 @default.
- W1995149483 hasConcept C104317684 @default.
- W1995149483 hasConcept C11413529 @default.
- W1995149483 hasConcept C126255220 @default.
- W1995149483 hasConcept C134306372 @default.
- W1995149483 hasConcept C159694833 @default.
- W1995149483 hasConcept C167431342 @default.
- W1995149483 hasConcept C185592680 @default.
- W1995149483 hasConcept C2778770139 @default.
- W1995149483 hasConcept C28826006 @default.
- W1995149483 hasConcept C33923547 @default.
- W1995149483 hasConcept C41008148 @default.
- W1995149483 hasConcept C55493867 @default.
- W1995149483 hasConcept C63479239 @default.
- W1995149483 hasConcept C6802819 @default.
- W1995149483 hasConcept C73000952 @default.
- W1995149483 hasConceptScore W1995149483C104317684 @default.
- W1995149483 hasConceptScore W1995149483C11413529 @default.
- W1995149483 hasConceptScore W1995149483C126255220 @default.
- W1995149483 hasConceptScore W1995149483C134306372 @default.
- W1995149483 hasConceptScore W1995149483C159694833 @default.
- W1995149483 hasConceptScore W1995149483C167431342 @default.
- W1995149483 hasConceptScore W1995149483C185592680 @default.
- W1995149483 hasConceptScore W1995149483C2778770139 @default.
- W1995149483 hasConceptScore W1995149483C28826006 @default.
- W1995149483 hasConceptScore W1995149483C33923547 @default.
- W1995149483 hasConceptScore W1995149483C41008148 @default.
- W1995149483 hasConceptScore W1995149483C55493867 @default.
- W1995149483 hasConceptScore W1995149483C63479239 @default.
- W1995149483 hasConceptScore W1995149483C6802819 @default.
- W1995149483 hasConceptScore W1995149483C73000952 @default.
- W1995149483 hasLocation W19951494831 @default.
- W1995149483 hasOpenAccess W1995149483 @default.
- W1995149483 hasPrimaryLocation W19951494831 @default.
- W1995149483 hasRelatedWork W115737931 @default.
- W1995149483 hasRelatedWork W1994484929 @default.
- W1995149483 hasRelatedWork W1995192069 @default.
- W1995149483 hasRelatedWork W2013911916 @default.
- W1995149483 hasRelatedWork W2018204161 @default.
- W1995149483 hasRelatedWork W2019861110 @default.
- W1995149483 hasRelatedWork W2028425355 @default.
- W1995149483 hasRelatedWork W2035379529 @default.
- W1995149483 hasRelatedWork W2045618500 @default.
- W1995149483 hasRelatedWork W2057525487 @default.
- W1995149483 hasRelatedWork W2069793542 @default.
- W1995149483 hasRelatedWork W2095093014 @default.
- W1995149483 hasRelatedWork W2095228481 @default.
- W1995149483 hasRelatedWork W2115776689 @default.
- W1995149483 hasRelatedWork W2118412304 @default.
- W1995149483 hasRelatedWork W2166868786 @default.
- W1995149483 hasRelatedWork W2466191338 @default.
- W1995149483 hasRelatedWork W2511411273 @default.
- W1995149483 hasRelatedWork W2610425820 @default.
- W1995149483 hasRelatedWork W85543137 @default.
- W1995149483 isParatext "false" @default.
- W1995149483 isRetracted "false" @default.
- W1995149483 magId "1995149483" @default.
- W1995149483 workType "article" @default.