000200494 001__ 200494
000200494 005__ 20190603181640.0
000200494 037__ $$aCONF
000200494 245__ $$aReduced basis method for the Stokes equations in decomposable parametrized domains using greedy optimization
000200494 269__ $$a2014
000200494 260__ $$bSpringer$$c2014$$aHeildeberg
000200494 336__ $$aConference Papers
000200494 490__ $$aECMI book subseries of Mathematics in Industry
000200494 500__ $$aEPFL MATHICSE Report 28.2014
000200494 520__ $$aFlow simulations in pipelined channels and several kinds of parametrized configurations have a growing interest in many life sciences and industrial applications. Applications may be found in the analysis of the blood flow in specific compartments of the circulatory system that can be represented as a combination of few deformed vessels from reference ones, e.g. pipes. We propose a solution approach that is particularly suitable for the study of internal flows in hierarchical parametrized geometries. The main motivation is for applications requiring rapid and reliable numerical simulations of problems in domains involving parametrized complex geometries. The classical reduced basis (RB) method is very effective to address viscous flows equations in parametrized geometries (see, e.g., [10]). An interesting alternative foresees a combination of RB with a domain decomposition approach. In this respect, preliminary efforts to reduce the global parametrized problem to local ones have led to the introduction of the so-called reduced basis element method to solve the Stokes problem [6], and more recently to the reduced basis hybrid method [3] and to the static condensation method [7]. In general, we are interested in defining a method able to maintain the flexibility of dealing with arbitrary combinations of subdomains and several geometrical deformations of the latter. A further new contribution to this field is the computation of the reduced basis functions through an optimization greedy algorithm [11].
000200494 6531_ $$areduced basis
000200494 6531_ $$aStokes flow
000200494 6531_ $$aTransfinite Mapping
000200494 6531_ $$aDomain Decomposition
000200494 700__ $$0242882$$g189946$$aIapichino, Laura
000200494 700__ $$0240286$$g118377$$aQuarteroni, Alfio
000200494 700__ $$aRozza, Gianluigi$$g149443$$0240712
000200494 700__ $$aVolkwein, Stefan
000200494 7112_ $$d9-13 June 2014$$cTaormina, Sicily, Italy$$aECMI 2014, European Conference Mathematics in Industry
000200494 773__ $$tECMI 2014 proceedings$$q1-7
000200494 8564_ $$uhttp://www.taosciences.it/ecmi2014/$$zURL
000200494 8564_ $$uhttps://infoscience.epfl.ch/record/200494/files/iapichino_ecmi.pdf$$zn/a$$s384680$$yn/a
000200494 909C0 $$xU10797$$0252102$$pCMCS
000200494 909CO $$ooai:infoscience.tind.io:200494$$qGLOBAL_SET$$qSB$$pconf
000200494 917Z8 $$x149443
000200494 937__ $$aEPFL-CONF-200494
000200494 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000200494 980__ $$aCONF