Kolyukhin, Dmitry; Espedal, Magne Modified adaptive local-global upscaling method for discontinuous permeability distribution. (English) Zbl 1384.86002 Comput. Geosci. 14, No. 4, 675-689 (2010). MSC: 86-08 86A05 76S05 PDFBibTeX XMLCite \textit{D. Kolyukhin} and \textit{M. Espedal}, Comput. Geosci. 14, No. 4, 675--689 (2010; Zbl 1384.86002) Full Text: DOI
Nielsen, Lars Kristian; Li, Hongwei; Tai, Xue-Cheng; Aanonsen, Sigurd Ivar; Espedal, Magne Reservoir description using a binary level set model. (English) Zbl 1426.76692 Comput. Vis. Sci. 13, No. 1, 41-58 (2010). MSC: 76S05 86A22 76M30 PDFBibTeX XMLCite \textit{L. K. Nielsen} et al., Comput. Vis. Sci. 13, No. 1, 41--58 (2010; Zbl 1426.76692) Full Text: DOI
Kolyukhin, Dmitry; Espedal, Magne Numerical calculation of effective permeability by double randomization Monte Carlo method. (English) Zbl 1407.76127 Int. J. Numer. Anal. Model. 7, No. 4, 607-618 (2010). MSC: 76M35 65C05 76S05 PDFBibTeX XMLCite \textit{D. Kolyukhin} and \textit{M. Espedal}, Int. J. Numer. Anal. Model. 7, No. 4, 607--618 (2010; Zbl 1407.76127) Full Text: Link
Kolyukhin, Dmitry; Schueller, Sylvie; Espedal, Magne S.; Fossen, Haakon Deformation band populations in fault damage zone—impact on fluid flow. (English) Zbl 1423.76427 Comput. Geosci. 14, No. 2, 231-248 (2010). MSC: 76S05 76M35 PDFBibTeX XMLCite \textit{D. Kolyukhin} et al., Comput. Geosci. 14, No. 2, 231--248 (2010; Zbl 1423.76427) Full Text: DOI
Holm, Randi; Kaufmann, Roland; Dale, Elisabeth Iren; Aanonsen, Sigurd; Fladmark, Gunnar E.; Espedal, Magne; Skauge, Arne Constructing three-phase capillary pressure functions by parameter matching using a modified ensemble Kalman filter. (English) Zbl 1364.76050 Commun. Comput. Phys. 6, No. 1, 24-48 (2009). MSC: 76D55 76S05 93E11 PDFBibTeX XMLCite \textit{R. Holm} et al., Commun. Comput. Phys. 6, No. 1, 24--48 (2009; Zbl 1364.76050) Full Text: Link
Holm, Randi; Kaufmann, Roland; Heimsund, Bjørn-Ove; Øian, Erlend; Espedal, Magne S. Meshing of domains with complex internal geometries. (English) Zbl 1174.76363 Numer. Linear Algebra Appl. 13, No. 9, 717-731 (2006). MSC: 76S05 65M50 PDFBibTeX XMLCite \textit{R. Holm} et al., Numer. Linear Algebra Appl. 13, No. 9, 717--731 (2006; Zbl 1174.76363) Full Text: DOI Link
Wang, Hong; Zhao, Weidong; Ewing, R. E.; Al-Lawatia, M.; Espedal, M. S.; Telyakovskiy, A. S. An Eulerian-Lagrangian solution technique for single-phase compositional flow in three-dimensional porous media. (English) Zbl 1121.76039 Comput. Math. Appl. 52, No. 5, 607-624 (2006). MSC: 76M10 76S05 86A05 PDFBibTeX XMLCite \textit{H. Wang} et al., Comput. Math. Appl. 52, No. 5, 607--624 (2006; Zbl 1121.76039) Full Text: DOI
Garrido, Izaskun; Lee, Barry; Fladmark, Gunnar E.; Espedal, Magne S. Convergent iterative schemes for time parallelization. (English) Zbl 1089.76038 Math. Comput. 75, No. 255, 1403-1428 (2006). MSC: 76M12 76M20 76T30 76S05 65Y05 PDFBibTeX XMLCite \textit{I. Garrido} et al., Math. Comput. 75, No. 255, 1403--1428 (2006; Zbl 1089.76038) Full Text: DOI
Øian, Erlend; Espedal, Magne S.; Garrido, I.; Fladmark, G. E. Parallel simulation of multiphase/multicomponent flow models. (English) Zbl 1152.76478 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 99-113 (2005). MSC: 76S05 65N55 76M25 76T99 PDFBibTeX XMLCite \textit{E. Øian} et al., Lect. Notes Comput. Sci. Eng. 40, 99--113 (2005; Zbl 1152.76478) Full Text: DOI
Øian, Erlend; Garrido, Izaskun; Chaib, Mohamed; Fladmark, Gunnar E.; Espedal, Magne S. Modeling fractured and faulted regions: local grid refinement methods for implicit solvers. (English) Zbl 1299.76199 Comput. Vis. Sci. 6, No. 2-3, 123-129 (2004). MSC: 76M27 76M10 76S05 74F10 PDFBibTeX XMLCite \textit{E. Øian} et al., Comput. Vis. Sci. 6, No. 2--3, 123--129 (2004; Zbl 1299.76199) Full Text: DOI
Garrido, I.; Fladmark, G. E.; Espedal, M. An improved numerical simulator for multiphase flow in porous media. (English) Zbl 1079.76590 Int. J. Numer. Methods Fluids 44, No. 4, 447-461 (2004). MSC: 76M12 76T30 76S05 PDFBibTeX XMLCite \textit{I. Garrido} et al., Int. J. Numer. Methods Fluids 44, No. 4, 447--461 (2004; Zbl 1079.76590) Full Text: DOI
Reme, Hilde; Espedal, Magne S.; Fladmark, Gunnar E. A preconditioning technique as an upscaling procedure. (English) Zbl 1024.76040 Chadam, John (ed.) et al., Resource recovery, confinement, and remediation of environmental hazards. IMA Workshops: Univ. of Minnesota, Minneapolis, MN, USA, January 15-19, 2000 and February 9-13, 2000. New York, NY: Springer. IMA Vol. Math. Appl. 131, 283-296 (2002). MSC: 76M99 76M50 76T10 76S05 86A05 PDFBibTeX XMLCite \textit{H. Reme} et al., IMA Vol. Math. Appl. 131, 283--296 (2002; Zbl 1024.76040)
Eigestad, G. T.; Aavatsmark, I.; Espedal, M. Symmetry and M-matrix issues for the O-method on an unstructured grid. (English) Zbl 1094.76551 Comput. Geosci. 6, No. 3-4, 381-404 (2002). MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{G. T. Eigestad} et al., Comput. Geosci. 6, No. 3--4, 381--404 (2002; Zbl 1094.76551) Full Text: DOI
Aarnes, Jørg; Espedal, Magne S. A new approach to upscaling for two-phase flow in heterogeneous porous media. (English) Zbl 1077.76067 Chen, Zhangxin (ed.) et al., Fluid flow and transport in porous media: mathematical and numerical treatment. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 17–21, 2001. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2807-X). Contemp. Math. 295, 1-11 (2002). MSC: 76S05 76T30 76M20 PDFBibTeX XMLCite \textit{J. Aarnes} and \textit{M. S. Espedal}, Contemp. Math. 295, 1--11 (2002; Zbl 1077.76067)
Chaib, Mohamed; Fladmark, Gunnar E.; Espedal, Magne Implicit treatment of molar mass equations in secondary oil migration. (English) Zbl 0996.76067 Comput. Vis. Sci. 4, No. 3, 191-196 (2002). MSC: 76M20 76S05 86A05 PDFBibTeX XMLCite \textit{M. Chaib} et al., Comput. Vis. Sci. 4, No. 3, 191--196 (2002; Zbl 0996.76067) Full Text: DOI
Reme, Hilde; Øye, Geir Åge; Espedal, Magne S.; Fladmark, Gunnar E. Parallelization of a compositional reservoir simulator. (English) Zbl 1072.76587 Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2–6, 1999. Berlin: Springer (ISBN 3-540-67566-3/hbk). Lect. Notes Phys. 552, 244-266 (2000). MSC: 76M12 76S05 65Y05 86A05 PDFBibTeX XMLCite \textit{H. Reme} et al., Lect. Notes Phys. 552, 244--266 (2000; Zbl 1072.76587)
Qin, Guan; Wang, Hong; Ewing, Richard E.; Espedal, Magne S. Numerical simulation of compositional fluid flow in porous media. (English) Zbl 1072.76569 Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2–6, 1999. Berlin: Springer (ISBN 3-540-67566-3/hbk). Lect. Notes Phys. 552, 232-243 (2000). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{G. Qin} et al., Lect. Notes Phys. 552, 232--243 (2000; Zbl 1072.76569)
Froysa, Kristin Guldbrandsen; Froyen, Johnny; Espedal, Magne S. Simulation of 3D flow with gravity forces in a porous medium. (English) Zbl 1060.76624 Comput. Vis. Sci. 3, No. 3, 121-131 (2000). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{K. G. Froysa} et al., Comput. Vis. Sci. 3, No. 3, 121--131 (2000; Zbl 1060.76624) Full Text: DOI
Espedal, Magne S.; Karlsen, Kenneth Hvistendahl Numerical solution of reservoir flow models based on large time step operator splitting algorithms. (English) Zbl 1077.76546 Fasano, A. (ed.), Filtration in porous media and industrial application. Lectures given at the 4th session of the Centro Internazionale Matematico Estivo (C. I. M. E.), Cetraro, Italy, August 24–29, 1998. Berlin: Springer (ISBN 3-540-67868-9). Lect. Notes Math. 1734, 9-77 (2000). MSC: 76M25 65M70 76S05 86-08 86A05 PDFBibTeX XMLCite \textit{M. S. Espedal} and \textit{K. H. Karlsen}, Lect. Notes Math. 1734, 9--77 (2000; Zbl 1077.76546)
Wang, Hong; Dahle, Helge K.; Ewing, Richard E.; Espedal, Magne S.; Sharpley, Robert C.; Man, Shushuang An ELLAM scheme for advection-diffusion equations in two dimensions. (English) Zbl 0939.65109 SIAM J. Sci. Comput. 20, No. 6, 2160-2194 (1999). Reviewer: Z.Dżygadło (Warszawa) MSC: 65M25 35L15 65M60 76M10 76S05 PDFBibTeX XMLCite \textit{H. Wang} et al., SIAM J. Sci. Comput. 20, No. 6, 2160--2194 (1999; Zbl 0939.65109) Full Text: DOI
Ersland, Brit Gunn; Espedal, Magne S.; Nybø, Roger Numerical methods for flow in a porous medium with internal boundaries. (English) Zbl 0943.76059 Comput. Geosci. 2, No. 3, 217-240 (1998). MSC: 76M20 76S05 65M25 76M10 PDFBibTeX XMLCite \textit{B. G. Ersland} et al., Comput. Geosci. 2, No. 3, 217--240 (1998; Zbl 0943.76059) Full Text: DOI
Hersvik, K. J.; Espedal, M. S. Adaptive hierarchical upscaling of flow in heterogeneous reservoirs based on an a posteriori error estimate. (English) Zbl 0946.76073 Comput. Geosci. 2, No. 4, 311-336 (1998). MSC: 76M25 76S05 76T99 65M15 65M55 86A05 PDFBibTeX XMLCite \textit{K. J. Hersvik} and \textit{M. S. Espedal}, Comput. Geosci. 2, No. 4, 311--336 (1998; Zbl 0946.76073) Full Text: DOI
Espedal, Magne S.; Hersvik, Karl J.; Ersland, Brit G. Domain decomposition methods for flow in heterogeneous porous media. (English) Zbl 0956.76069 Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10-14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 104-120 (1998). Reviewer: Prabhat Kumar Mahanti (Mesra(Ranchi)) MSC: 76M25 76S05 65M55 PDFBibTeX XMLCite \textit{M. S. Espedal} et al., Contemp. Math. 218, 104--120 (1998; Zbl 0956.76069)
Hansen, Ragnhild; Espedal, Magne S. On the numerical solution of nonlinear reservoir flow models with gravity. (English) Zbl 0835.76076 Int. J. Numer. Methods Eng. 38, No. 12, 2017-2032 (1995). MSC: 76M25 76M10 76S05 76T99 65M25 PDFBibTeX XMLCite \textit{R. Hansen} and \textit{M. S. Espedal}, Int. J. Numer. Methods Eng. 38, No. 12, 2017--2032 (1995; Zbl 0835.76076) Full Text: DOI
Chen, Zhangxin; Espedal, Magne; Ewing, Richard E. Continuous-time finite element analysis of multiphase flow in groundwater hydrology. (English) Zbl 0847.76030 Appl. Math., Praha 40, No. 3, 203-226 (1995). Reviewer: M.A.Ibiejugba (Ilorin) MSC: 76M10 76T99 76S05 65M60 86A05 PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Math., Praha 40, No. 3, 203--226 (1995; Zbl 0847.76030) Full Text: EuDML
Dahle, Helge K.; Espedal, Magne S.; Sævareid, Ove Characteristic, local grid refinement techniques for reservoir flow problems. (English) Zbl 0757.76046 Int. J. Numer. Methods Eng. 34, No. 3, 1051-1069 (1992). MSC: 76M25 76T99 76S05 65M50 PDFBibTeX XMLCite \textit{H. K. Dahle} et al., Int. J. Numer. Methods Eng. 34, No. 3, 1051--1069 (1992; Zbl 0757.76046) Full Text: DOI
Dahle, H. K.; Espedal, M. S.; Ewing, R. E.; Sævareid, O. Characteristic adaptive subdomain methods for reservoir flow problems. (English) Zbl 0707.76093 Numer. Methods Partial Differ. Equations 6, No. 4, 279-309 (1990). MSC: 76S05 76M20 PDFBibTeX XMLCite \textit{H. K. Dahle} et al., Numer. Methods Partial Differ. Equations 6, No. 4, 279--309 (1990; Zbl 0707.76093) Full Text: DOI
Sævareid, Ove; Dahle, Helge K.; Espedal, Magne S. Domain decomposition for reservoir flow problems. (English) Zbl 0702.76107 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 481-491 (1990). MSC: 76S05 76T99 76M10 PDFBibTeX XML