E. Nilsson

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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 $H^{div}$ -conforming finite elements. Both methods achieve optimal convergence for velocity, en…

math.NA2024

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 $RT_{k} \times Q_{k}$ , $k \geq 0$ . Here $Q_{k}$ is the space of di…