Conservative cut finite element methods using macroelements

Conservative cut finite element methods using macroelements

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 added in such a way that we retain conservation on macroelements containing one element with a large intersection with...

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Veröffentlicht in:Computer methods in applied mechanics and engineering 2023-09, Vol.414, p.116141, Article 116141
Hauptverfasser: Larson, Mats G., Zahedi, Sara
Format: Artikel
Sprache:eng
Schlagworte:
Conservation
Cut element
CutFEM
Error estimates
Stabilization
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Zusammenfassung: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 added in such a way that we retain conservation on macroelements containing one element with a large intersection with the domain and possibly a number of elements with small intersections. We derive error estimates and present confirming numerical results.
ISSN:0045-7825
1879-2138
1879-2138
DOI:10.1016/j.cma.2023.116141