New monolithic ALE-HDG methods for FSI deliver proven stability and globally divergence-free velocities via backward Euler time stepping and hybridizable discontinuous Galerkin spatial discretization.
A weakly compressible hybridizable discon- tinuous Galerkin formulation for fluid-structure interaction problems
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Stability Analysis of Monolithic Globally Divergence-Free ALE-HDG Methods for Fluid-Structure Interaction
New monolithic ALE-HDG methods for FSI deliver proven stability and globally divergence-free velocities via backward Euler time stepping and hybridizable discontinuous Galerkin spatial discretization.