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math.NA2026
Accelerating droplet-laden Stokes flow simulations with hierarchical surrogate modeling
Davide Pradovera, Thomas Frachon, Sara Zahedi
We present a surrogate modeling strategy for Stokes flows with liquid droplets suspended in a carrier fluid. Our approach is based on a multi-fidelity framework. At the lowest fide…
math.NA2024
Divergence-free cut finite element methods for Stokes flow
Thomas Frachon, Erik Nilsson, Sara Zahedi
We develop two unfitted finite element methods for the Stokes equations using -conforming finite elements. Both methods achieve optimal convergence for velocity, en…
math.NA2024
Stabilized Lagrange Multipliers for Dirichlet Boundary Conditions in Divergence Preserving Unfitted Methods
Thomas Frachon, Erik Nilsson, Sara Zahedi
We extend the divergence preserving cut finite element method presented in [T. Frachon, P. Hansbo, E. Nilsson, S. Zahedi, SIAM J. Sci. Comput., 46 (2024)] for the Darcy interface p…