@inbook {Simula.simula.1110,
	title = {An Adaptive Finite Element Solver for Fluid-structure Interaction Problems},
	booktitle = {Automated Solution of Differential Equations by the Finite Element Method},
	series = {Lecture Notes in Computational Science and Engineering},
	volume = {84},
	year = {2012},
	pages = {554-572},
	publisher = {Springer},
	organization = {Springer},
	chapter = {29},
	isbn = {978-3-642-23098-1},
	author = {Selim, Kristoffer},
	editor = {Logg, Anders and Mardal, Kent-Andre and Garth N. {Wells}}
}
@article {Simula.simula.1210,
	title = {An Adaptive Finite Element Splitting Method for the Incompressible Navier-Stokes Equations},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	volume = {209-212},
	year = {2012},
	pages = {54-65},
	abstract = {We present an adaptive finite element method for the incompressible Navier-Stokes equations based on a standard splitting scheme (the incremental pressure correction scheme). The presented method combines the efficiency and simplicity of a splitting method with the powerful framework offered by the finite element method for error analysis and adaptivity. An a posteriori error estimate is derived which expresses the error in a goal functional of interest as a sum of contributions from spatial discretization, time discretization and a term that measures the deviation of the splitting scheme from a pure Galerkin scheme (the computational error). Numerical examples are presented which demonstrate the performance of the adaptive algorithm and high quality efficiency indices. It is further demonstrated that the computational error of the Navier-Stokes momentum equation is linear in the size of the time step while the computational error of the continuity equation is quadratic in the size of the time step.},
	doi = {10.1016/j.cma.2011.10.002},
	author = {Selim, Kristoffer and Logg, Anders and Mats G. {Larson}}
}
@article {Simula.simula.922,
	title = {An Adaptive Finite Element Method for Fluid-Structure Interaction},
	journal = {SIAM Journal on Scientific Computing},
	year = {2011},
	abstract = {In this paper, we present an adaptive finite element method for fully coupled, time-dependent fluid-structure interaction (FSI) problems based on a dual-weighted residual method. In order to fix concepts, the theory is presented in the context of a fluid that is modeled by the incompressible Navier-Stokes equations and a structure that is modeled by the (nonlinear) St. Venant-Kirchhoff model. We derive the associated dual problem and use it to construct an a posteriori error estimate for the fully coupled FSI problem. The primal FSI problem is solved using a partitioned algorithm in the Arbitrary Lagrangian-Eulerian (ALE) framework, while the dual problem is solved using a monolithic formulation on a fixed reference domain. An adaptive algorithm is presented for controlling the error in an output functional of interest by adaptively refining the mesh and adapting the time steps. A numerical example is presented which demonstrates good performance of the adaptive algorithm (as compared to uniform mesh refinement) and good quality of efficiency indices},
	author = {Selim, Kristoffer and Logg, Anders and Narayanan, Harish and Mats G. {Larson}}
}
@phdthesis {Simula.simula.1056,
	title = {Adaptive Finite Element Methods for Fluid-Structure Interaction and Incompressible Flow},
	year = {2011},
	month = {May},
	school = {University of Oslo},
	type = {phd},
	author = {Selim, Kristoffer}
}
@misc {Simula.acdc.64,
	title = {An Adaptive Finite Element Method for Fluid Structure-Interaction Problems},
	howpublished = {Talk at FEniCS{\textquoteright}10},
	year = {2010},
	author = {Selim, Kristoffer}
}
@misc {Simula.simula.312,
	title = {A Posteriori Error Analysis of Adaptive Finite Element Methods for Fluid-Structure Interaction},
	howpublished = {AC/DC seminar series},
	year = {2010},
	author = {Selim, Kristoffer}
}
@inproceedings {Simula.sc.698,
	title = {Simulating Heart Valve Dynamics in FEniCS},
	journal = {MekIT{\textasciiacute}09. Fifth National Conference on Computational Mechanics},
	year = {2009},
	pages = {411-419},
	publisher = {Tapir Akademisk Forlag},
	type = {1},
	isbn = {978-82-519-2421-4},
	author = {Selim, Kristoffer and Logg, Anders},
	editor = {Bj{\o}rn H. {Skallerud} and H. I. {Andersson}}
}
@misc {Simula.sc.1150,
	title = {Simulating the Heart Valve Dynamics in FEniCS},
	howpublished = {Talk at MekIT{\textquoteright}09: Fifth National Conference on Computational Mechanics, Trondheim, May 26-27},
	year = {2009},
	author = {Selim, Kristoffer and Logg, Anders}
}
@mastersthesis {Simula.SC.106,
	title = {Drag Reduction Over Rough Surfaces},
	journal = {NA},
	year = {2008},
	month = {January},
	publisher = {Chalmers University of Technology},
	type = {masters},
	abstract = {The main objective with this thesis is to derive drag force reduction, for moderate Reynolds numbers, when a microscopic rough surface of height +u0190 is introduced over a flat plate. Such a problem is often impossible to treat with numerical methods since the microscopic scale is much smaller than the macroscopic scale which is present in the same equation. To overcome this problem, a homogenization process is performed on the rough surface and an effective (approximate) equation is obtained, which is an O(+u01902 ) approximation. This effective equation describes the flow at the macroscopic scale but it captures the flow characteristics in the microscopic scale through a constant coefficient operator. Given the effective equation, the drag force reduction is then derived.},
	author = {Selim, Kristoffer}
}
