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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…
math.NA2024
A High-Order Conservative Cut Finite Element Method for Problems in Time-Dependent Domains
Sebastian Myrbäck, Sara Zahedi
A mass-conservative high-order unfitted finite element method for convection-diffusion equations in evolving domains is proposed. The space-time method presented in [P. Hansbo, M.…
math.NA2024
A bound preserving cut discontinuous Galerkin method for one dimensional hyperbolic conservation laws
Pei Fu, Gunilla Kreiss, Sara Zahedi
In this paper we present a family of high order cut finite element methods with bound preserving properties for hyperbolic conservation laws in one space dimension. The methods are…