@misc {42942,
	title = {The pulsating brain: an interface-coupled fluid-poroelastic model of the cranial cavity},
	howpublished = {ECCOMAS Congress 2022, Oslo, Norway},
	year = {2022},
	publisher = {ECCOMAS CONGRESS 2022},
	abstract = {Driven by cardiac and respiratory pulsations, our brain and the cerebrospinal (CSF) fluidsurrounding it exhibit complex fluid flow and displacement patterns. Despite being essen-tial to normal brain function, our understanding of intracranial dynamics is still limited,and various diseases are associated with impaired CSF flow and elevated intracranial pres-sure [1]. Computational models offer further insights into pulsatile intracranial dynamics,but are complicated by the close interplay of arterial inflow, venous outflow, CSF motionand brain tissue movement inside the rigid cranial cavity.In this talk, I will present a new computational model of cardiac-induced pulsatile motioninside the human cranial cavity. The CSF flow in the subarachnoid space and ventricularsystem is modelled using the time-dependent Stokes equations, and coupled with Biot{\textquoteright}sporoelasticity equations in the brain tissue, thus integrating all major intracranial con-stituents into the modelling approach. Employing the pulsatile inflow of blood into braintissue as a driver of motion, the model enables us to study the dynamics of the entireintracranial system.The model is discretized using a coupled/monolithic approach with a mixedTaylor-Hood type finite element scheme and implemented with the finite element frame-work FEniCS. Numerical results obtained with a detailed 3D human head model andphysiological material parameters are presented and compared with experimental data.The new model faithfully replicates the main aspects of intracranial pulsatile motion.},
	keywords = {brain mechanics, Finite element method, interface coupling, multiphysics problems},
	author = {Causemann, Marius and Vinje, Vegard and Marie E. {Rognes}}
}
@article {25229,
	title = {Variational data assimilation for transient blood flow simulations},
	journal = { International Journal for Numerical Methods in Biomedical Engineering},
	volume = {35},
	year = {2018},
	month = {10/2018},
	pages = {e3152},
	publisher = {John Wiley \& Sons},
	abstract = {Several cardiovascular diseases are caused from localised abnormal blood flow\&nbsp;such as in the case of stenosis or aneurysms. Prevailing theories propose that the development is caused by abnormal wall-shear stress in focused\&nbsp;areas. \&nbsp;Computational fluid mechanics have arisen as a promising tool for\&nbsp;a more precise and quantitative analysis, in particular because the\&nbsp;anatomy is often readily available even by standard imaging techniques such as magnetic resolution and computed tomography angiography. \&nbsp;However,\&nbsp;computational fluid mechanics rely on accurate initial and boundary conditions which\&nbsp;is difficult to obtain. \&nbsp;In this paper we address the problem of recovering high resolution information from noisy, low-resolution\&nbsp;measurements of blood flow using variational data assimilation based on a transient Navier-Stokes model.\&nbsp;Numerical experiments are performed in both 2D and 3D and with pulsatile flow relevant for physiological flow in cerebral aneurysms.\&nbsp;The results demonstrate that, with suitable regularisation, the model accurately reconstructs flow, even in the presence of significant noise.\&nbsp;},
	keywords = {adjoint equations, blood flow, Finite element method, Navier-Stokes, optimal control, variational data assimilation},
	author = {Simon W {Funke} and Nordaas, Magne and Evju, {\O}yvind and Martin Sandve {Aln{\ae}s} and Mardal, Kent-Andre}
}
@misc {24900,
	title = {Optimization Problems on Dynamical Domains with Non-Matching Meshes},
	howpublished = {29th Nordic Seminar on Computational mechanics},
	year = {2016},
	keywords = {Adjoint, Dynamic Domains, Finite element method, Nitsche, Non-matching meshes, Optimization},
	author = {J{\o}rgen Schartum {Dokken}},
	editor = {Johansson, August and Simon W {Funke}}
}
@article {23425,
	title = {Finite element modeling of a linear membrane shell problem using tangential differential calculus},
	journal = {Computer Methods in Applied Mechanics and Engineering},
	volume = {270},
	year = {2014},
	pages = {1 - 14},
	publisher = { },
	abstract = {Abstract We construct a new Galerkin finite element method for the membrane elasticity problem on a meshed surface by using two-dimensional elements extended into three dimensions. The membrane finite element model is established using a tangential differential calculus approach that avoids the use of classical differential geometric methods. The finite element method generalizes the classical flat element shell method where standard plane stress elements are used for membrane problems. This makes our method applicable to a wider range of problems and of surface descriptions, including surfaces defined by distance functions.},
	keywords = {Finite element method},
	issn = {0045-7825},
	doi = {http://dx.doi.org/10.1016/j.cma.2013.11.016},
	url = {http://www.sciencedirect.com/science/article/pii/S0045782513003216},
	author = {Hansbo, Peter and Mats G. {Larson}}
}
