@article {Jayasinghe_2017_Spacetime_Adaptive_Method_Reservoir_Flows_Formulation,
	title = {A space-time adaptive method for reservoir flows: Formulation and one-dimensional application},
	journal = {Computational Geosciences},
	volume = {22},
	year = {2018},
	month = {02/2018},
	pages = {107-123},
	chapter = {107},
	abstract = {<p>This paper presents a space-time adaptive framework for solving porous media flow problems, with specific application to reservoir simulation. A fully unstructured mesh discretization of space and time is used instead of a conventional time-marching approach. A space-time discontinuous Galerkin finite element method is employed to achieve a high-order discretization on the anisotropic, unstructured meshes. Anisotropic mesh adaptation is performed to reduce the error of a specified output of interest, by using a posteriori error estimates from the dual-weighted residual method to drive a metric-based mesh optimization algorithm. The space-time adaptive method is tested on a one-dimensional two-phase flow problem, and is found to be more efficient in terms of computational cost (degrees-of-freedom and total runtime) required to achieve a specified output error level, when compared to a conventional first-order time-marching finite volume method and the space-time discontinuous Galerkin method on structured meshes.</p>
},
	issn = {1573-1499},
	doi = {10.1007/s10596-017-9673-9},
	url = {http://dx.doi.org/10.1007/s10596-017-9673-9},
	author = {Jayasinghe, Y S and Darmofal, D L and Burgess, N K and Galbraith, M C and Allmaras, S R}
}
@mastersthesis {Jayasinghe_2015_SM,
	title = {A Space-time Adaptive Method for Flows in Oil Reservoirs},
	year = {2015},
	school = {Massachusetts Institute of Technology},
	type = {masters},
	address = {Department of Aeronautics and Astronautics},
	url = {http://hdl.handle.net/1721.1/101495},
	author = {Jayasinghe, Y S}
}
