72 citations · 177 across the 21 of their papers we have counts for
21 papers
High-Order Discontinuous Cut Finite Element Methods for Scalar Hyperbolic Conservation Laws
Pei Fu, Gunilla Kreiss, Zelin Xin +1
In this paper, we present a family of high-order cut finite element methods based on the discontinuous Galerkin (DG) framework for scalar hyperbolic conservation laws on complex do…
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…
Divergence-free unfitted finite element discretisations for the Darcy problem
Santiago Badia, Anne Boschman, Alberto F. Martín +3
We develop an unfitted compatible finite element discretisation for the Darcy problem based on -conforming flux spaces and discontinuous pressure spaces. The metho…
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…
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.…
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…
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…
Conservative Discontinuous Cut Finite Element Methods
Mats G. Larson, Sara Zahedi
We develop a conservative cut finite element method for an elliptic coupled bulk-interface problem. The method is based on a discontinuous Galerkin framework where stabilization is…
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,…
A Stabilized Cut Streamline Diffusion Finite Element Method for Convection-Diffusion Problems on Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +2
We develop a stabilized cut finite element method for the stationary convection diffusion problem on a surface embedded in . The cut finite element method is based…
Stabilization of High Order Cut Finite Element Methods on Surfaces
Mats G. Larson, Sara Zahedi
We develop and analyze a stabilization term for cut finite element approximations of an elliptic second order partial differential equation on a surface embedded in .…
A Space-Time Cut Finite Element Method with quadrature in time
Sara Zahedi
We consider convection-diffusion problems in time-dependent domains and present a space-time finite element method based on quadrature in time which is simple to implement and avoi…
Full Gradient Stabilized Cut Finite Element Methods for Surface Partial Differential Equations
Erik Burman, Peter Hansbo, Mats G. Larson +2
We propose and analyze a new stabilized cut finite element method for the Laplace-Beltrami operator on a closed surface. The new stabilization term provides control of the full $\m…
Stabilized CutFEM for the Convection Problem on Surfaces
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a stabilized cut finite element method for the convection problem on a surface based on continuous piecewise linear approximation and gradient jump stabilization terms.…
A cut finite element method for coupled bulk-surface problems on time-dependent domains
Peter Hansbo, Mats G. Larson, Sara Zahedi
In this contribution we present a new computational method for coupled bulk-surface problems on time-dependent domains. The method is based on a space-time formulation using discon…
Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces
Peter Hansbo, Mats G. Larson, Sara Zahedi
We develop a stabilized discrete Laplace-Beltrami operator that is used to compute an approximate mean curvature vector which enjoys convergence of order one in L2. The stabilizati…
Cut Finite Element Methods for Coupled Bulk-Surface Problems
Erik Burman, Peter Hansbo, Mats G. Larson +1
We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and norms of the error. Usin…
A cut finite element method for a Stokes interface problem
Peter Hansbo, Mats G. Larson, Sara Zahedi
We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separa…