Geir Terje Eigestad

I currently hold a three year Acting Associate Professorship at the Department of Mathematics, University of Bergen and a Researcher II position at the Center for Integrated Petroleum Research, University of Bergen.

Publications

" Control Volume Discretisation on Non-Matching Meshes in 3D"; E. Øian, B.O. Heimsund, G.T. Eigestad, J.M. Nordbotten, I. Aavatsmark; in proceedings of ECMOR X, Amsterdam, Holland, 5.-8. September 2006.
"A Compact MPFA Method with Improved Robustness"; I. Aavatsmark, G.T. Eigestad, J.M. Nordbotten; in proceedings of ECMOR X, Amsterdam, Holland, 5.-8. September 2006.
"Adaptive Streamline Tracing for Streamline Simulation on Irregular Grids"; H. Hægland, H.K. Dahle, G.T. Eigestad, K.-A. Lie; in Proceedings of CMWR XVI - Computational Methods in Water Resources, Copenhagen, 19.-22. June 2006.
"Streamline Methods on Fault Adapted Grids for Risk Assessment of Storage of CO2 in Geological Formations"; H. Hægland, M.A. Celia, H.K. Dahle, G.T. Eigestad, J.M. Nordbotten, A. Assterawatt; in Proceedings of CMWR XVI - Computational Methods in Water Resources, Copenhagen, Denmark, 19.-22. June 2006.
"Monotonicity of Control Volume Methods": J.M. Nordbotten, I. Aavatsmark, G.T. Eigestad: Submitted to Numerische Mathematik.
" Convergence of a symmetric MPFA method on quadrilateral grids": I. Aavatsmark, G.T. Eigestad, R.A. Klausen, M.F. Wheeler, and I. Yotov: Submitted to Computational Geosciences.
"Improved Streamlines and Time-of-Flight for Streamline Simulation on Irregular Grids": H. Haegland, H.K. Dahle, G.T. Eigestad, K.-A. Lie, I. Aavatsmark. Accepted for publication in Advances in Water Resources.
"Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids": I. Aavatsmark and G. T. Eigestad: International Journal for Numerical Methods in Fluids, 51 2006, pp. 939-961.
"Convergence of MPFA methods on general quadrilateral grids in 2D and 3D": I. Aavatsmark, G. T. Eigestad and R. A. Klausen: Compatible spatial discretizations, D.N. Arnold, P.B. Bochev, R.B. Lehoucq, R.A. Nicolaides, M. Shashkov (eds.), IMA Volume Series, Springer, New York, 2006, pp. 1-21.
"Discretization on quadrilateral grids with improved monotonicity"
J. M. Nordbotten, G. T Eigestad, Journal of Computational Physics, No. 203, pp. 744-760, 2005.
"Convergence of the MPFA O-method; Numerical Experiments for discontinuous media":
G. T. Eigestad and R. A. Klausen, Journal for Numerical Methods for Partial Differential Equations, 21, 2005, pp 1079-1098.
"Recent advances for MPFA methods" G. T. Eigestad, T. Aadland, I. Aavatsmark, R. A. Klausen, J. M. Nordbotten.
In proceedings of ECMOR IX, Cannes, Sep. 2004.
"Multi Point Flux Approximations and Finite Element Methods; Practical aspects of Discontinuous media":
R. A. Klausen and G. T. Eigestad. In proceedings of ECMOR IX, Cannes, Sep. 2004.
"Monotonicity Conditions for Control Volume Methods on General Quadrilateral Grids; Application to MPFA" J. M. Nordbotten and G, T. Eigestad. In Proceedings of the 16th Nordic Seminar on Computational Mechanics, NTNU, Trondheim, 2003
"Reservoir simulation on heterogeneous and anisotropic media with imposed flux continuity conditions for general geometries, and the inclusion of hysteresis in forward modeling". PhD-thesis, 2003, Department of Mathematics, University of Bergen, Norway.
"MPFA for faults with crossing grid lines and zig-zag patterns"
G.T. Eigestad, I. Aavatsmark, E. Reiso, H. Reme, In Proceedings of ECMOR VIII, Freiberg, 2002
"Symmetry and M-matrix issues for the O-method on an Unstructured Grid"
G. T. Eigestad, I. Aavatsmark, M. Espedal, in 'Special Issue of Computational Geosciences 6, 2002, pp. 381-404.
"MPFA methods applied to irregular grids and faults" G.T. Eigestad, I. Aavatsmark, E. Reiso, H. Reme, R. Teigland.
In 'Developments in water science' 47, 2002, pp. 413-420. Editors Hassanizadeh, Schotting, Gray, Pinder.
"Numerical Modelling of Capillary Transition Zones", G. T. Eigestad and J. A. Larsen
SPE 64374, APOGCE 2000.

Recent Presentations and Co-contributed Presentations: Control Volume Discretisation on Non-Matching Meshes in 3D; E. Øian, B.O. Heimsund, G.T. Eigestad, J.M. Nordbotten, I. Aavatsmark Amsterdam, Holland, 5. September 2006. A Compact MPFA Method with Improved Robustness; I. Aavatsmark, G.T. Eigestad, J.M. Nordbotten; presented at ECMOR X, Amsterdam, Holland, 5. September 2006. Adaptive Streamline Tracing for Streamline Simulation on Irregular Grids; G.T. Eigestad, H. Hægland, H.K. Dahle, K.-A. Lie; presented at CMWR XVI - Computational Methods in Water Resources, Copenhagen, 20. June 2006. Multi Point Flux Approximation Methods; Properties of Discrete Equations on Structured and Unstructured Grids; G.T. Eigestad, J.M. Nordbotten, I. Aavatsmark, R.A. Klausen, E. Øian, B.-O. Heimsund, general presentation at Institute for Applied Mathematics at Friedrich Alexander University Erlangen, Erlangen, Germany, 23. November 2005. Stability of MPFA methods; I.Aavatsmark, G.T. Eigestad, J.M. Nordbotten, presentation at annual Chevron Texaco and CIPR meeting, University of Bergen, 10. November 2005. CIPR in-house reservoir simulation activities; B.-O. Heimsund, E. Øian, G.T. Eigestad, H.K. Dahle, M. Espedal, G. Fladmark, I. Aavatsmark, H. Hægland, presentation at Princeton CMI CO2 Workshop, Princeton, USA, 1.-3. November 2005. Control Volume Discretization Compatible with Physics; I. Aavatsmark, G.T. Eigestad, R.A. Klausen, J.M. Nordbotten, presentation at CMA workshop on Compatible Discretizations for Partial Differential Equations, Oslo, 26.-28. September 2005. Monotonicity Investigation of Various MPFA Methods on Challenging Grids and Medium Heterogeneities; G.T. Eigestad, J. M. Nordbotten, I. Aavatsmark B.-O. Heimsund, E. Øian, presentation at SIAM GS05 Conference on Mathematical and Computational Issues in the Geosciences, Avignon, France, 7.-10. June 2005 Various Aspects of Reservoir Simulation with Multi Point Flux Approximation Methods; G.T. Eigestad, I. Aavatsmark, R.A. Klausen, J.M. Nordbotten, presentation at Australian School of Petroleum, Adelaide University, Australia, 26. October 2004. Recent Advances for MPFA Methods; G.T. Eigestad, T. Aadland, I. Aavatsmark, R.A. Klausen, J.M. Nordbotten, presentation at ECMOR IX Conference, Cannes, France, 30. August 2004. MPFA discretization on Quadrilateral grids; I. Aavatsmark, G.T. Eigestad, R.A. Klausen, J.M. Nordbotten, presentation at IMA "Hot Topics" Workshop: Compatible Spatial Discretizations for Partial Differential Equations, Minneapolis, USA, 11.-15. May 2004. Recent Advances for MPFA Methods; Aspects for Reservoir Simulation; G.T. Eigestad, I.Aavatsmark, J.M. Nordbotten, presentation at First annual CIPR Petroleum Technology Seminar, Bergen, Norway, 4. May 2004.