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math.NA2026
Slip Wall Boundary Conditions in Curved Domains for Finite Element ALE Hydrodynamics
Nabil Atallah, Kevin Sweet, Paul Moujaes +3
We present a high-order finite element arbitrary Lagrangian-Eulerian (ALE) method for hydrodynamics with slip-wall boundary conditions on analytically curved domains. The method co…
math.NA2026
High-Order Mesh r-Adaptivity with Tangential Relaxation and Guaranteed Mesh Validity
Ketan Mittal, Veselin Dobrev, Tzanio Kolev +1
High-order meshes are crucial for achieving optimal convergence rates in curvilinear domains, preserving symmetry, and aligning with key flow features in moving mesh simulations, b…