000148536 001__ 148536
000148536 005__ 20190117192122.0
000148536 0247_ $$2doi$$a10.1137/090772836
000148536 022__ $$a1064-8275
000148536 02470 $$2ISI$$a000294293200006
000148536 037__ $$aARTICLE
000148536 245__ $$aParallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics
000148536 269__ $$a2011
000148536 260__ $$c2011
000148536 300__ $$a19
000148536 336__ $$aJournal Articles
000148536 520__ $$a The increasing computational load required by most applications and the limits in hardware performances affecting scientific computing contributed in the last decades to the development of parallel software and architectures. In Fluid-Structure Interaction (FSI, in short) for haemodynamic applications, parallelization and scalability are key issues (see~\cite{formaggia09:_cardiov_mathem}). In this work we introduce a class of parallel preconditioners for the FSI problem obtained by exploiting the block-structure of the linear system. We stress the possibility of extending the approach to a general linear system with a block-structure, then we provide a bound in the condition number of the preconditioned system in terms of the conditioning of the preconditioned diagonal blocks, finally we show that the construction and evaluation of the devised preconditioner is modular. The preconditioners are tested on a benchmark 3D geometry discretized in both a coarse and a fine mesh, as well as on two physiological aorta geometries. The simulations that we have performed show an advantage in using the block preconditioners introduced and confirm our theoretical results.
000148536 6531_ $$a Fluid-Structure Interaction
000148536 6531_ $$ablood-flow models
000148536 6531_ $$aFinite Elements
000148536 6531_ $$aPreconditioners
000148536 6531_ $$aParallel algorithms
000148536 700__ $$0242879$$aCrosetto, Paolo$$g172420
000148536 700__ $$0241667$$aDeparis, Simone$$g121157
000148536 700__ $$0240915$$aFourestey, Gilles$$g164962
000148536 700__ $$0240286$$aQuarteroni, Alfio$$g118377
000148536 773__ $$j33$$k4$$q1598-1622$$tSiam Journal on Scientific Computing
000148536 8564_ $$uhttp://epubs.siam.org/sisc/resource/1/sjoce3/v33/i4/p1598_s1$$zURL
000148536 8564_ $$s1606824$$uhttps://infoscience.epfl.ch/record/148536/files/monolithicFSIsiam.pdf$$yn/a$$zn/a
000148536 909C0 $$0252102$$pCMCS$$xU10797
000148536 909CO $$ooai:infoscience.tind.io:148536$$pSB$$particle$$qGLOBAL_SET
000148536 917Z8 $$x172420
000148536 917Z8 $$x121157
000148536 917Z8 $$x172420
000148536 917Z8 $$x121157
000148536 937__ $$aEPFL-ARTICLE-148536
000148536 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000148536 980__ $$aARTICLE