Eirik Keilegavlen

Position: Researcher in Applied Mathematics at Department of Mathematics

E-mail: Eirik.Keilegavlen@math.uib.no

Research interests

Publications (Peer reviewed)

E. Keilegavlen, J.M. Nordbotten: Inexact linear solvers for control volume discretizations in porous media, Computational Geosciences, submitted.

T.H. Sande, I. Berre, E. Keilegavlen, J.M. Nordbotten: An automated MINC method for simulation of heat transport in fractured geothermal reservoirs, Mathematical Geosciences, submitted.

T.H. Sandve, E. Keilegavlen, J.M. Nordbotten: Inexact linear solvers for flow in multiscale fractures, Water Resources Research, submitted.

S. Alyaev, E. Keilegavlen, J. M. Nordbotten: Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media , SIAM Multiscale Modeling and Simulation, submitted.

A. Rotevatn, T.H. Sandve, E. Keilegavlen, D. Kolyukhin, H. Fossen (2013): Deformation bands and their impact on fluid flow in sandstone aquifers: the role of natural thickness variations , GeoFluids, 13 (3), 359-373.

A. Sandvin, E. Keilegavlen, J.M. Nordbotten (2013): Auxiliary Variables for Multiscale Simulation in Heterogeneous Porous Media , Journal of Computational Physics 238 (1) 141-153

J.O. Skogestad, E. Keilegavlen, J.M. Nordbotten (2013):
Domain Decomposition Strategies for Non-linear Flow Problems in Porous Media , Journal of Computational Physics 234 (1) 439-451

E. Keilegavlen, J. Kozdon and B. Mallison (2012): Multi-dimensional upstream weighting for multi-phase flow on general grids , Computational Geosciences 16 (4) 1021-1042

E. Keilegavlen, J.M. Nordbotten, A. Stephansen (2012): Tensor Relative Permeabilities: Origins, Modeling and Numerical Discretization, International Journal of Numerical Analysis and Modeling 9 (3) 701-724

E. Keilegavlen and I. Aavatsmark (2011): Monotonicity of MPFA methods on triangular grids , Computational Geosciences 15 (1) 3-16

S. Mundal, E. Keilegavlen and I. Aavatsmark (2010): Simulation of Anisotropic Heterogeneous Near-well Flow using MPFA Methods on Flexible Grids, Computational Geosciences 14 (4) 509-525

E. Keilegavlen, J. M. Nordbotten and I. Aavatsmark (2009): Sufficient monotonicity criteria are necessary for control volume methods, Applied Mathematics Letters 22 (8) 1178-1180

E. Keilegavlen and J. Berntsen (2009): Non-hydrostatic pressure in sigma-coordinate ocean models, Ocean Modelling 28 (4), 240-249

Book chapters

F. Doster, E. Keilegavlen, J.M. Nordbotten (2013): Multi-Phase Multi-Component Flow Including Capillary Pressure And Bouyancy: A Robust Implicit Pressure Explicit Mass Finite Volume Method

E. Keilegavlen, J.M. Nordbotten (2013): Conservative inexact solvers for porous media flow, Proceedings of the 21st International Conference on Domain Decomposition Methods, accepted for publication.

J.M. Nordbotten, E.Keilegavlen and A. Sandvin (2012): Mass Conservative Domain Decomposition for Porous Media Flow In: Finite Volume Method - Powerful Means of Engineering Design, PhD. Radostina Petrova (Ed.), ISBN: 978-953-51-0445-2, InTech.

Conference proceedings (not reviewed)

E. Keilegavlen, J.M. Nordbotten, A.Stephansen (2011): Simulating two-phase flow in porous media with anisotropic relative permeabilities, , Proceedings of SPE Reservoir Simulation Symposium 2011, SPE 141552

E. Keilegavlen, J. Kozdon, B.T. Mallison (2010): Monotone Multi-dimensional Upstream Weighting on General Grids , Proceeding of ECMOR XII, 2010

A. Sandvin, J.O. Skogestad, E. Keilegavlen, J.M. Nordbotten (2010): A Multiscale Framework for Simulating Multi-phase Flow on Flexible Grids, Proceedings of ECMOR XII, 2010

P.A. Herrera , J.M. Nordbotten B.F. El-Faour, E. Keilegavlen and H.K. Dahle (2010): The impact of natural heterogeneity on CO2 migration in deep saline aquifers Proceedings of British Hydrological Society International Symposium

H.M. Nilsen, P.A. Herrera, M. Ashraf, I. Ligaarden, M. Iding, C. Hermanrud, K.-A. Lie, J.M. Nordbotten, H.K. Dahle and E. Keilegavlen (2010): Field-case simulation of CO2-plume migration using vertical-equilibrium models Proceedings of GHGT 10

E.Keilegavlen, I.Aavatsmark (2008): Monotonicity for control volume methods on triangular grids, Proceedings of ECMOR XI, 2008

S.Mundal, E.Keilegavlen, I.Aavatsmark (2008): Discretisation schemes for anisotropic heterogeneous problems on near-well grids , Proceedings of ECMOR XI

PhD Thesis

Robust Control Volume Methods for Reservoir Simulation on Challenging Grids

Master's Thesis

Modelling the non-Hydrostatic pressure in sigma-coordinate ocean models