On the existence and the uniqueness of the solution to a fluid-structure interaction problem
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Publication:2227230
DOI10.1016/j.jde.2021.01.019zbMath1464.65170arXiv2006.10536OpenAlexW3121942514MaRDI QIDQ2227230
Publication date: 10 February 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.10536
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data ⋮ On a fluid–structure interaction problem for plaque growth ⋮ Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions ⋮ Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains ⋮ Unfitted mixed finite element methods for elliptic interface problems ⋮ On the interface matrix for fluid-structure interaction problems with fictitious domain approach
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