@article {24599,
	title = {A cut discontinuous Galerkin method for the Laplace{\textendash}Beltrami operator},
	journal = {IMA Journal of Numerical Analysis},
	volume = {37},
	year = {2016},
	pages = {138-169},
	publisher = {Oxford University Press},
	abstract = {We develop a discontinuous cut finite element method for the Laplace\&ndash;Beltrami operator on a hypersurface embedded in $\mathbb {R}^d$. The method is constructed by using a discontinuous piecewise linear finite element space defined on a background mesh in $\mathbb {R}^d$. The surface is approximated by a continuous piecewise linear surface that cuts through the background mesh in an arbitrary fashion. Then, a discontinuous Galerkin method is formulated on the discrete surface and in order to obtain coercivity, certain stabilization terms are added on the faces between neighbouring elements that provide control of the discontinuity as well as the jump in the gradient. We derive optimal a priori error and condition number estimates which are independent of the positioning of the surface in the background mesh. Finally, we present numerical examples confirming our theoretical results.},
	doi = {10.1093/imanum/drv068},
	url = {http://imajna.oxfordjournals.org/content/early/2016/03/04/imanum.drv068.abstract},
	author = {Burman, Erik and Hansbo, Peter and Mats G. {Larson} and Massing, Andre}
}
@article {24600,
	title = {Cut Finite Element Methods on Coupled Bulk-Surface Problems},
	journal = {Numerische Mathematik},
	volume = {133},
	year = {2015},
	month = {07/2015},
	pages = {203-231},
	publisher = {Springer Berlin Heidelberg},
	issn = {0029-599X},
	doi = {10.1007/s00211-015-0744-3},
	author = {Burman, Erik and Hansbo, Peter and Mats G. {Larson} and Zahedi, Sara}
}
@article {24596,
	title = {A stabilized cut finite element method for partial differential equations on surfaces: The Laplace-Beltrami operator},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	volume = {285},
	year = {2015},
	pages = {188-207},
	publisher = {Elsevier},
	doi = {10.1016/j.cma.2014.10.044},
	author = {Burman, Erik and Hansbo, Peter and Mats G. {Larson}}
}
@article {Simula.simula.2928,
	title = {A Stabilized Cut Finite Element Method for the Three Field Stokes Problem},
	journal = {SIAM Journal on Scientific Computing},
	volume = {37},
	year = {2015},
	pages = {A1705-A1726},
	publisher = {SIAM},
	author = {Burman, Erik and Claus, Susanne and Massing, Andre}
}
@misc {Simula.simula.2932,
	title = {Cut Finite Element Methods for Multi-Physics Problems (in FEniCS!)},
	howpublished = {18th European Conference on Mathematics for Industry},
	year = {2014},
	month = {June},
	author = {Burman, Erik and Claus, Susanne and Hansbo, Peter and Mats G. {Larson} and Massing, Andre}
}
@article {Simula.simula.2924,
	title = {CutFEM: Discretizing Geometry and Partial Differential Equations},
	journal = {International Journal of Numerical Methods in Engineering},
	volume = {104},
	year = {2014},
	pages = {472-501},
	publisher = {John Wiley \& Sons},
	author = {Burman, Erik and Claus, Susanne and Hansbo, Peter and Mats G. {Larson} and Massing, Andre}
}
@inproceedings {Simula.simula.2406,
	title = {A Stabilized Nitsche Fictitious Domain Formulation for the Three-Field Stokes Problem},
	journal = {The 26th Nordic Seminar on Computational Mechanics},
	year = {2013},
	type = {Conference},
	isbn = {978-82-92593-12-7},
	author = {Claus, Susanne and Massing, Andre and Burman, Erik},
	editor = {Logg, Anders and Mardal, Kent-Andre and Massing, Andre}
}
