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Finite element error estimation for quasi-Newtonian fluid–structure interaction problems

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  • Lee, Hyesuk
  • Xu, Shuhan

Abstract

We consider a monolithic scheme for fluid–structure interaction problems involving an incompressible quasi-Newtonian fluid. The monolithic formulation is obtained using the Arbitrary Lagrangian Eulerian (ALE) method with matching conditions at the fluid–structure interface. The stability and error analysis are performed for the finite element approximation. Finally, some numerical experiments that confirm the theoretical analysis are presented.

Suggested Citation

  • Lee, Hyesuk & Xu, Shuhan, 2016. "Finite element error estimation for quasi-Newtonian fluid–structure interaction problems," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 93-105.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:93-105
    DOI: 10.1016/j.amc.2015.10.071
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