Convergence analysis and error estimate of finite element method of a nonlinear fluid-structure interaction problem

Xin Zhao;  ; Xin Liu; Jian Li;  ;

doi:10.3934/math.2020337

Convergence analysis and error estimate of finite element method of a nonlinear fluid-structure interaction problem

AIMS Mathematics ◽

10.3934/math.2020337 ◽

2020 ◽

Vol 5 (5) ◽

pp. 5240-5260

Author(s):

Xin Zhao ◽

◽

Xin Liu ◽

Jian Li ◽

◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimate ◽

Convergence Analysis ◽

Fluid Structure Interaction ◽

Fluid Structure ◽

Structure Interaction ◽

Nonlinear Fluid ◽

Interaction Problem ◽

Element Method

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Multiscale and monolithic arbitrary Lagrangian–Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110181 ◽

2021 ◽

Vol 433 ◽

pp. 110181

Author(s):

Wenrui Hao ◽

Pengtao Sun ◽

Jinchao Xu ◽

Lian Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

Arbitrary Lagrangian Eulerian ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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Full Eulerian finite element method of a phase field model for fluid–structure interaction problem

Computers & Fluids ◽

10.1016/j.compfluid.2013.11.010 ◽

2014 ◽

Vol 90 ◽

pp. 1-8 ◽

Cited By ~ 12

Author(s):

Pengtao Sun ◽

Jinchao Xu ◽

Lixiang Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Phase Field ◽

Field Model ◽

Fluid Structure Interaction ◽

Phase Field Model ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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An Arbitrary Lagrangian-Eulerian Finite Element Method for Fluid-Structure Interaction Problem

Computational Methods in Water Resources X - Water Science and Technology Library ◽

10.1007/978-94-010-9204-3_149 ◽

1994 ◽

pp. 1233-1238 ◽

Cited By ~ 2

Author(s):

Akira Maruoka ◽

Akira Anju ◽

Mutsuto Kawahara

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

Arbitrary Lagrangian Eulerian ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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A partitioned fully explicit Lagrangian finite element method for highly nonlinear fluid-structure interaction problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5602 ◽

2017 ◽

Vol 113 (1) ◽

pp. 43-64 ◽

Cited By ~ 13

Author(s):

S. Meduri ◽

M. Cremonesi ◽

U. Perego ◽

O. Bettinotti ◽

A. Kurkchubasche ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

Fluid Structure ◽

Structure Interaction ◽

Highly Nonlinear ◽

Lagrangian Finite Element ◽

Nonlinear Fluid ◽

Element Method

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A fluid-structure interaction problem in biomechanics: Prestressed vibrations of the eye by the finite element method

Journal of Biomechanics ◽

10.1016/0021-9290(92)90067-b ◽

1992 ◽

Vol 25 (10) ◽

pp. 1105-1118 ◽

Cited By ~ 27

Author(s):

Lionel Coquart ◽

Christian Depeursinge ◽

Alain Curnier ◽

Roger Ohayon

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

The Finite Element Method ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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A Nitsche-based cut finite element method for a fluid-structure interaction problem

Communications in Applied Mathematics and Computational Science ◽

10.2140/camcos.2015.10.97 ◽

2015 ◽

Vol 10 (2) ◽

pp. 97-120 ◽

Cited By ~ 27

Author(s):

André Massing ◽

Mats Larson ◽

Anders Logg ◽

Marie Rognes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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A monolithic mixed finite element method for a fluid-structure interaction problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124615 ◽

2019 ◽

Vol 363 ◽

pp. 124615 ◽

Cited By ~ 2

Author(s):

Maranda Bean ◽

Son-Young Yi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Fluid Structure Interaction ◽

Mixed Finite Element Method ◽

Fluid Structure ◽

Structure Interaction ◽

Interaction Problem ◽

Element Method

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A Particle Finite Element Method (PFEM) for Coupled Thermal Analysis of Quasi and Fully Incompressible Flows and Fluid-Structure Interaction Problems

Computational Methods in Applied Sciences - Numerical Simulations of Coupled Problems in Engineering ◽

10.1007/978-3-319-06136-8_6 ◽

2014 ◽

pp. 129-156 ◽

Cited By ~ 6

Author(s):

Eugenio Oñate ◽

Alessandro Franci ◽

Josep M. Carbonell

Keyword(s):

Finite Element Method ◽

Thermal Analysis ◽

Finite Element ◽

Incompressible Flows ◽

Fluid Structure Interaction ◽

Particle Finite Element Method ◽

Fluid Structure ◽

Structure Interaction ◽

Element Method

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A new maximality argument for a coupled fluid-structure interaction, with implications for a divergence-free finite element method

Applicationes Mathematicae ◽

10.4064/am35-3-2 ◽

2008 ◽

Vol 35 (3) ◽

pp. 259-280 ◽

Cited By ~ 10

Author(s):

George Avalos ◽

Matthew Dvorak

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

Fluid Structure ◽

Structure Interaction ◽

Divergence Free ◽

Element Method

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Immersed smoothed finite element method for two dimensional fluid-structure interaction problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4299 ◽

2012 ◽

Vol 90 (10) ◽

pp. 1292-1320 ◽

Cited By ~ 44

Author(s):

Zhi-Qian Zhang ◽

G. R. Liu ◽

Boo Cheong Khoo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fluid Structure Interaction ◽

Two Dimensional ◽

Fluid Structure ◽

Structure Interaction ◽

Smoothed Finite Element Method ◽

Element Method

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