5 papers
Conservative flux reconstruction for an elliptic interface problem using CutFEM
Daniela Capatina, Aimene Gouasmi
This paper deals with the local recovery of conservative fluxes for an elliptic interface problem with discontinuous coefficients. The transmission conditions on the interface are…
Flux-equilibrated based a posteriori error analysis for an interface problem with CutFEM
Daniela capatina, Aimene Gouasmi
This paper addresses the local recovery of conservative fluxes and the a posteriori error analysis for an elliptic interface problem with discontinuous coefficients. The transmissi…
Elliptic interface problem approximated by CutFEM: I. Conservative flux recovery and numerical validation of adaptive mesh refinement
Daniela Capatina, Aimene Gouasmi, Cuiyu He
We study an elliptic interface problem with discontinuous diffusion coefficients on unfitted meshes using the CutFEM method. Our main contribution is the reconstruction of conserva…
Elliptic Interface Problem approximated by CutFEM: II. A posteriori error analysis based on equilibrated fluxes
Daniela Capatina, Aimene Gouasmi
This paper investigates an elliptic interface problem with discontinuous diffusion coefficients on unfitted meshes, employing the CutFEM method. The main contribution is the a post…
Finite element formulation of general boundary conditions for incompressible flows
Roland Becker, Daniela Capatina, Robert Luce +1
We study the finite element formulation of general boundary conditions for incompressible flow problems. Distinguishing between the contributions from the inviscid and viscid parts…