A non-conforming monolithic finite element method for problems of coupled mechanics
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Abstract
In this study, a Lagrange multiplier technique is developed to solve problems of coupled mechanics and is applied to the case of a Newtonian fluid coupled to a quasi-static hyperelastic solid. Based on theoretical developments in [57], an additional Lagrange multiplier is used to weakly impose displacement/velocity continuity as well...
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Finite element method , BLOOD-FLOW , NAVIER-STOKES EQUATIONS , Navier-Stokes , Non-matching grids , FICTITIOUS DOMAIN APPROACH , 620 , 510 , FLUID-STRUCTURE INTERACTION , Finite elasticity mechanics , STRUCTURAL INTERACTIONS , Mortar/domain decomposition , SADDLE-POINT PROBLEMS , Arbitrary Lagrangian Eulerian , NONMATCHING MULTIBLOCK GRIDS , ELLIPTIC PROBLEMS , NUMERICAL-SIMULATION , FORMULATION