The method reformulates ALE mesh motion as independent multi-patch spline parameterizations per time step, using barrier functions, tangential-slip reparameterization, and constant-preserving quasi-interpolation to enable large-rotation FSI simulations.
and Zahedi, Sara , year=
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Proves an inf-sup stability estimate for a penalty-free asymmetric Nitsche method with Nédélec edge elements under an isolated patch condition on tetrahedral meshes.
A CutFEM is developed and analyzed for convection-diffusion on hierarchical mixed-dimensional manifolds, with a priori error estimates in energy and L2 norms that hold for reduced regularity solutions.
citing papers explorer
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Parameterization-driven arbitrary Lagrangian-Eulerian method for large-deformation isogeometric fluid-structure interaction
The method reformulates ALE mesh motion as independent multi-patch spline parameterizations per time step, using barrier functions, tangential-slip reparameterization, and constant-preserving quasi-interpolation to enable large-rotation FSI simulations.
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A Penalty-Free Asymmetric Nitsche's Method for Edge Elements
Proves an inf-sup stability estimate for a penalty-free asymmetric Nitsche method with Nédélec edge elements under an isolated patch condition on tetrahedral meshes.
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Cut Finite Element Methods for Convection-Diffusion in Mixed-Dimensional Domains
A CutFEM is developed and analyzed for convection-diffusion on hierarchical mixed-dimensional manifolds, with a priori error estimates in energy and L2 norms that hold for reduced regularity solutions.