Runhild Aae Klausen

Centre of Mathematics for Applications, University of Oslo.
VISTA, at The Norwegian Academy of Science and Letters.

Office:
Room 901
N.H. Abels hus
(Mathematics building)

Mail address:
Centre of Mathematics for Applications
Po.Box 1053 Blindern
N-0316 Oslo, Norway

Phone:
+47 22 85 61 95

Email:
r.a.klausen[ at ]cma.uio.no

Professional Interests

Partial Differential Equations and numerical methods.
Reservoir Simulations and Reservoir Monitoring.
Maxwell's Equations
Numerically stable and efficient algorithms.
Preconditioning.
Discretisations techniques. Finite elements and control volume methods like:
-MFEM (mixed finite element method)
-MPFA (multi-point flux-approximation)

Publications

R.A. Klausen and A.F. Stephansen: Convergence of multi-point flux approximation on general grids and media. Inter. J. of Num. Analysis and Modeling. V 9, N 3, Professor Magne Espedal Memorial Issue, pp 584-606, 2012.
R. A. Klausen, A. F. Rasmussen, A. F. Stephansen, Velocity interpolation and streamline tracing on irregular geometries, Computational Geoscienses, Received: 31 January 2011 / Accepted: 19 September 2011. DOI: 10.1007/s10596-011-9256-0.
R. A. Klausen,S. S. Mundal, and H. K. Dahle: Barycentric coordinate based mixed finite elements on quadrilateral/hexahedral mesh. Inter. J. of Num. Analysis and Modeling, V 8, N 4, pp 584-598, 2011.
R.A. Klausen and A.F. Stephansen, On Rough Grids – Convergence and Reproduction of Uniform Flow. 12th European Conference on the Mathematics of Oil Recovery Oxford, UK, September 06 - 09, 2010.
S. S. Mundal, R. A. Klausen, and H. K. Dahle: On Corner Velocity Interpolation and Mixed Finite Elements . Preprint No 15, Univ. of Oslo, Pure Mathematics, ISSN 0806-2439, 2010.
R.A. Klausen and A.F. Stephansen,: Convergence of the MPFA O-method on general grids. Preprint No 1, Univ. of Oslo, Pure Mathematics, ISSN 0806-2439, 2010.
R.A. Klausen, F.A. Radu and G.T. Eigestad,: Convergence of MPFA on triangulations and for Richards' equation. International Journal for Numerical Methods in Fluids, Vol 58, pp 1327-1351, 2008.
Runhild A. Klausen and Anette F. Stepahsen: Mimetic MPFA. Proc. 11th European Conference on the Mathematics of Oil Recovery, 8-11 Sept., Bergen, Norway, A12, EAGE, 2008.
I. Aavatsmark, G.T. Eigestad, R.A. Klausen, M.F. Wheeler and I. Yotov: Convergence of a Symmetric MPFA method on Quadrilateral Grids. Computational Geoscienses, Vol 11, No 4, pp 335-345, 2007.
R.A Klausen and R. Winther : Robust Convergence of Multi-Point Flux Approximations on Rough Grids, Numerische Mathematik, Vol 104, No. 3. pp 317-337, 2006.
R.A Klausen and R. Winther : Convergence of Multi-Point Flux Approximations on Quadrilateral Grids, Num. Met. for PDE's, Vol 22, No. 6, pp 1438-1454, 2006.
I. Aavatsmark, G.T. Eigestad, and R.A. Klausen: Numerical convergence of MPFA for general quadrilateral grids in two and three dimensions. IMA Vol. Ser. 142; Compatible Spatial Discretizations for Partial Differential Equations, pp 1- 22, 2006.
Eigestad G.T. and Klausen R. A.: On the convergence of the multi-point flux approximation O-method: Numerical experiments for discontinuous permeability. Num. Met. for PDE, No. 6, Vol. 21, pp 1079-1098, 2005.
Klausen R. A. and Russell T.F.: Relationships among some locally conservative discretization methods which handle discontinuous coefficients. Computational Geoscienses, Vol 8, No 4, pp 341-377, 2004.
R.A. Klausen and G.T. Eigestad: Multi point flux approximations and finite element methods; practical aspects of discontinuous media. Proc. 9th European Conference on the Mathematics of Oil Recovery, Cannes, France, B003, EAGE, 2004.
G.T. Eigestad, T. Aadland, I. Aavatsmark, R.A. Klausen, and J.M. Nordbotten: Recent advances for MPFA methods. Proc. 9th European Conference on the Mathematics of Oil Recovery, Cannes, France, B002, EAGE, 2004.
Klausen R. A. and Aavatsmark I.: Well Index in Reservoir Simulation for Slanted and Slightly Curved Wells in 3D Grids , SPE Journal, pp. 41-48, March 2003.
Klausen R. A. and Aavatsmark I.: Connection Transmissibility Factors in Reservoir Simulation for Slanted Wells in 3D Grids, Proc. 7th European Conference on the Mathematics of Oil Recovery, Baveno, Italy, 2000, EAGE, 8 pp.
Klausen R. A. and Risebro N.H.: Well-posedness of a 2×2 System of Resonant Conservation Laws, International Series of Num. Math., Vol 130, 1999, pp 545-552.
Klausen R. A. and Risebro N.H.: Stability of Conservation Laws with Discontinuous Coefficients, Journal of Differential Equation, V 157, 1999, pp 41-60.
Klausen R. A.: On Locally Conservative Numerical Methods for Elliptic Problems; Application to Reservoir Simulation
Ph.D.Thesis, 2003. The introduction.
Klausen R. A.: Stability properties for hyperbolic conservation laws with discontinuous coefficients, Master thesis AiM/MI-UiO.