A non-conforming monolithic finite element method for problems of coupled mechanics

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 displ...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 229; no. 20; pp. 7571 - 7593
Main Authors:	Nordsletten, D., Kay, D., Smith, N.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Inc 01.10.2010 Elsevier
Subjects:	Arbitrary Lagrangian Eulerian Computational techniques Continuity Convergence Exact sciences and technology Finite elasticity mechanics Finite element method Interpolation Lagrange multipliers Mathematical analysis Mathematical methods in physics Mathematical models Mortar/domain decomposition Navier–Stokes Newtonian fluids Non-matching grids Optimization Physics Finite element method Navier–Stokes Mortar/domain decomposition Arbitrary Lagrangian Eulerian Finite elasticity mechanics Non-matching grids Fluid mechanics Lagrangian Digital simulation Elasticity Calculation methods Interpolation Lagrange multiplier Kinematics Convergence rate Navier-Stokes Models Calculation Newtonian fluid
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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