A cut finite element method for elliptic bulk problems with embedded surfaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-12

AUTHORS

Erik Burman, Peter Hansbo, Mats G. Larson, David Samvin

ABSTRACT

We propose an unfitted finite element method for flow in fractured porous media. The coupling across the fracture uses a Nitsche type mortaring, allowing for an accurate representation of the jump in the normal component of the gradient of the discrete solution across the fracture. The flow field in the fracture is modelled simultaneously, using the average of traces of the bulk variables on the fractures. In particular the Laplace-Beltrami operator for the transport in the fracture is included using the average of the projection on the tangential plane of the fracture of the trace of the bulk gradient. Optimal order error estimates are proven under suitable regularity assumptions on the domain geometry. The extension to the case of bifurcating fractures is discussed. Finally the theory is illustrated by a series of numerical examples. More... »

PAGES

10

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s13137-019-0120-z

DOI

http://dx.doi.org/10.1007/s13137-019-0120-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111752921

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30873244


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