For a CutFEM with Lagrange multipliers, the authors prove k-th order convergence for fluid velocity and solid displacement and (k-1)-th order for pressure in a fully coupled fluid-structure interaction problem with a moving interface.
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Convergence of a CutFEM for fluid--structure interaction with a deforming interface
For a CutFEM with Lagrange multipliers, the authors prove k-th order convergence for fluid velocity and solid displacement and (k-1)-th order for pressure in a fully coupled fluid-structure interaction problem with a moving interface.