2021
DOI: 10.48550/arxiv.2106.02547
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Flux recovery for Cut finite element method and its application in a posteriori error estimation

Abstract: In this article, we aim to recover locally conservative and H(div) conforming fluxes for the linear Cut Finite Element Solution with Nitsche's method for Poisson problems with Dirichlet boundary condition. The computation of the conservative flux in the Raviart-Thomas space is completely local and does not require to solve any mixed problem. The L 2 -norm of the difference between the numerical flux and the recovered flux can then be used as a posteriori error estimator in the adaptive mesh refinement procedur… Show more

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