arXiv:1906.00879 Abstract | arXiv Analytics

arXiv:1906.00879 [math.NA]Abstract References Reviews Resources

A Posteriori Error Estimates with Boundary Correction for a Cut Finite Element Method

Published 2019-06-03Version 1

In this work we study a residual based a posteriori error estimation for the CutFEM method applied to an elliptic model problem. We consider the problem with non-polygonal boundary and the analysis takes into account the geometry and data approximation on the boundary. The reliability and efficiency are theoretically proved. Moreover, constants are robust with respect to how the domain boundary cuts the mesh.

Comments: 25 pages, 14 Figures

Categories: math.NA

Subjects: 65N30

Keywords: cut finite element method, posteriori error estimates, boundary correction, elliptic model problem, posteriori error estimation

Related articles: Most relevant | Search more

arXiv:2106.02547 [math.NA] (Published 2021-06-04)

Flux recovery for Cut finite element method and its application in a posteriori error estimation

Daniela Capatina, Cuiyu He

arXiv:1403.6580 [math.NA] (Published 2014-03-26)

Cut Finite Element Methods for Coupled Bulk-Surface Problems

Erik Burman, Peter Hansbo, Mats G. Larson, Sara Zahedi

arXiv:1802.02453 [math.NA] (Published 2018-02-06)