000217517 001__ 217517
000217517 005__ 20181203024209.0
000217517 0247_ $$2doi$$a10.1016/j.cma.2015.11.016
000217517 022__ $$a0045-7825
000217517 02470 $$2ISI$$a000369487700007
000217517 037__ $$aARTICLE
000217517 245__ $$aParameter estimates for the Relaxed Dimensional Factorization preconditioner and application to hemodynamics
000217517 260__ $$bElsevier$$c2016$$aLausanne
000217517 269__ $$a2016
000217517 300__ $$a17
000217517 336__ $$aJournal Articles
000217517 520__ $$aWe present new results on the Relaxed Dimensional Factorization (RDF) preconditioner for solving saddle point problems from incompressible flow simulations, first introduced in Benzi et al. (2011). This method contains a parameter α>0α>0, to be chosen by the user. Previous works provided an estimate of αα in the 2D case using Local Fourier Analysis. A novel algebraic estimation technique for finding a suitable value of the RDF parameter in both the 2D and the 3D case with arbitrary geometries is proposed. This technique is tested on a variety of discrete saddle point problems arising from the approximation of the Navier–Stokes equations using a Marker-and-Cell scheme and a finite element one. We also show results for a large-scale problem relevant for hemodynamics simulation that we solve in parallel using up to 8196 cores.
000217517 6531_ $$aScalable parallel preconditioners
000217517 6531_ $$aFinite element method
000217517 6531_ $$aHigh performance computing
000217517 6531_ $$aNavier–Stokes equations
000217517 6531_ $$aHemodynamics applications
000217517 6531_ $$aDimensional splitting preconditioner
000217517 700__ $$aBenzi, Michele
000217517 700__ $$0241667$$g121157$$aDeparis, Simone
000217517 700__ $$0242889$$g160279$$aGrandperrin, Gwenol
000217517 700__ $$aQuarteroni, Alfio$$g118377$$0240286
000217517 773__ $$j300$$tComputer Methods in Applied Mechanics and Engineering$$k1$$q129-145
000217517 909C0 $$xU10797$$0252102$$pCMCS
000217517 909CO $$pSB$$particle$$ooai:infoscience.tind.io:217517
000217517 917Z8 $$x121157
000217517 937__ $$aEPFL-ARTICLE-217517
000217517 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000217517 980__ $$aARTICLE