44 citations · 59 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
A divergence preserving cut finite element method for Darcy flow
Thomas Frachon, Peter Hansbo, Erik Nilsson +1
We study cut finite element discretizations of a Darcy interface problem based on the mixed finite element pairs , . Here is the space of di…
High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface
Pei Fu, Thomas Frachon, Gunilla Kreiss +1
We develop a family of cut finite element methods of different orders based on the discontinuous Galerkin framework, for hyperbolic conservation laws with stationary interfaces in…
A Cut Finite Element Method for two-phase flows with insoluble surfactants
Thomas Frachon, Sara Zahedi
We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation o…
A cut finite element method for incompressible two-phase Navier-Stokes flows
Thomas Frachon, Sara Zahedi
We present a space-time Cut Finite Element Method (CutFEM) for the time-dependent Navier-Stokes equations involving two immiscible incompressible fluids with different viscosities,…