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Computational Mathematics


Iuliu Sorin Pop

Universiteit Hasselt - Knowledge in action

IULIU SORIN POP

 Prof. dr. Iuliu Sorin POP

Hasselt University
Faculty of Sciences
Discipline group Mathematics and statistics
Research group Computational mathematics

Address: 
Campus Diepenbeek
Agoralaan Gebouw D (Room nr.: D252)
BE 3590 Diepenbeek, Belgium
E-mail: sorin.pop@uhasselt.be
WWW: UHasselt style based, or Google sites based
Telephone: +32-11-268581

Also affiliated with:
University of Bergen (Norway)
Faculty of Mathematics and Natural Sciences
Dept of Mathematics
Reservoir Group

Vacancies: check here

Conference: try here, you may be interested in one of the listed conference/meeting


Partial differential equations:

  • Analysis: existence, uniqueness of weak solutions, qualitative properties, travelling waves
  • Upscaling: homogenization, multiple scales, asymptotic expansions, heterogeneous media, perforated media, rough boundaries
  • Numerical methods: convergence, error estimates, discretization (FEM/MFEM/DG, finite volumes), linearization schemes, domain decomposition

Applications:

  • Flow in porous media: unsaturated, two-phase, non-standard models, dynamic capillarity
  • Reactive transport: adsorption, desorption, reactions, precipitation, dissolution
  • Media with variable porosity
  • Biofilm growth
  • Geothermal energy

Personal
Born on February 24, 1969 in Baia-Mare, Romania
Married with Valeria Pop, two children (Maria Cristina and Simon Iuliu)
Languages: Romanian (mother's), Dutch, English, German

Duties 
Current:
Since 2015: Associate Editor, Computational Geosciences
Since 2011: Editorial board, Journal of Numerical Analysis and Approximation Theory (former Revue d'Analyse Numérique et de Théorie de l'Approximation)
Since 2016: Member, InterPore Honors and Awards Committee

Past: 
2013-2014: Vice-Chair, SIAM (Society for Industrial and Applied Mathematics) Activity Group on Geosciences
2010-2015: Coordinator, Industrial and Applied Mathematics master programme (TU/e)
2006-2014: Editorial Board, Creative Mathematics
2001-2003: Editorial Board, Bul. Stiint. Univ. Baia-Mare Ser. B

Awards, fellowships 
2015: InterPore Procter & Gamble Award for Porous Media Research
2012: J. Tinsley Oden Visiting Fellow (Institute for Computational Engineering and Sciences, The University of Texas at Austin)
2011: Best Master Teacher of the Department of Mathematics and nominated for the Educational Prize of the Eindhoven University of Technology in the category “Master”    
2009: SimTech Senior Fellow (University of Stuttgart)
1993-1995: DAAD Fellow 

Grants (running, or recently closed)
2016-2020: DynScale: Reactive flow and transport models in complex media with evolving interfaces at the micro scale, Odysseus programme, Group I 
2015-2018: PoroFlow: Non-equilibrium models for flow in heterogeneous porous media, Shell-NWO/FOM CSER PhD-programma, PhD researcher, 266 k€ (applicant, PI)
2012-2014: NeqFlow: a mathematical and numerical investigation of nonequilibrium effects in porous media flows, NWO-NDNS+ grant, postdoctoral researcher, 100 k€ (applicant, PI)
2007-2015: NUPUS: Non-linearities and upscaling in porous media, International Research Training Group NUPUS, DFG-NWO-RCN, amount 2.15M€: 1.8M€ (Stuttgart) + 350k€ (Utrecht, Eindhoven, Delft, Wageningen), more than 20 Ph D and MSc students, and postdoctoral researchers (PI, co-applicant, vice-spokesman)

Membership
Society for Industrial and Applied Mathematics (SIAM)
International Society for Porous Media (Interpore)

Education 
1983-1987: Gheorghe Sincai" College, Baia-Mare, Romania
1988-1992: Babes-Bolyai University, Cluj-Napoca, Romania 
License diploma in Informatics (cum laude, 10/10)
1993-1998: Ruprecht-Karls University, Heidelberg, Germany
1998: Ph'D degree in Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania 
Thesis: Regularization Methods in the Numerical Analysis of Some Degenerate Parabolic Equations, 
Advisors: Prof. Dr. Gh. Coman (Cluj-Napoca), Prof. Dr. Dr. h.c. W. Jäger (Heidelberg)

Experience
Academia:
"Babes-Bolyai" University (UBB), Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania
1992-2002: Ass. Prof. (tenured), Numerical and Statistical Calculus chair
"Ruprecht-Karls" University, Interdisciplinary Center for Scientific Computing (IWR), Heidelberg, Germany
1993-1996: Research fellow (DAAD, supervised by Prof. Dr. Dr. h.c. W. Jäger)
1996-1998: Researcher (SFB 359, supervised by Prof. Dr. Dr. h.c. W. Jäger)
Centrum voor Wiskunde en Informatica (CWI), Amsterdam, The Netherlands 
2000 (5 months): Researcher (postdoc, MAS 1.2)
North University of Baia Mare (UBM), Faculty of Sciences, Romania 
2002-2004: Ass. Prof. (on leave), Computer Science and Applied Mathematics chair
Eindhoven University of Technology (TU/e), Department of Mathematics and Computer Science,The Netherlands 
2000-2004: Researcher (postdoc supervised by Prof. Dr. C.J. van Duijn, Applied Analysis group)
2004-2015: Ass./Assoc. Prof.
University of Bergen, Faculty of Mathematics and Natural Sciences, Dept of Mathematics, Norway
2012-present: Professor II (secondary appointment)
Hasselt University, Faculty of Sciences, Discipline group Mathematics and statistics, Belgium
2016-present: Professor 

Industry:
Transart  SRL, Cluj-Napoca, Romania
1998-2000: software analyst, project manager

Co-chair 
SIAM Conference on Mathematical and Computational Issues in the Geosciences (GS15), Stanford University, June 29-July 2, 2015 (with K.A. Lie and M. Gerritsen)

Co-organiser: 
Workshop Reactive Flows in Deformable, Complex Media, Oberwolfach, Sept. 21-27, 2014 (co-organizer, applicant, with M. Gerritsen, J.M. Nordbotten and B. Wohlmuth)
TU/e - UU Joint meeting on 'Porous Media', Eindhoven, Jan. 14 - 15, 2013 (co-organiser, with J. Huyghe and J. Padding)
The Mathematics of Porous Media, Split (Croatia), June 13-15, 2011 (co-organiser, with P. Knabner and A. Mikelic)
Academy Coloquium "Multi-scale problems in sustainable resource management" Amsterdam (NL), Sept. 6-9, 2010 (co-organizer, applicant, with C.J. van Duijn, S.M. Hassanizadeh, M.A. Peletier, B. Schweizer)
The Dutch-French Porous Media Day Eindhoven (2006, 2009), Calais (2007) (co-organiser, with A. Mikelic)
NUPUS workshop "Dynamic effects in the capilllary pressure" Eindhoven (NL), July 19, 2009 (co-organiser, with P. Zegeling)

Organizing committee member:  
The 48th Netherlands Mathematical Congress, Eindhoven (NL), April 12, 2012 
Multiscale Methods in Science and Technology - Challenges to Mathematical Analysis and Perspectives, Dubrovnik (HR), May 31-June 4, 2010 
International Conference on Non-linearities and Upscaling in Porous Media (NUPUS) Stuttgart, Oct. 5-7, 2009 

Scientific committee member:  
European conference on numerical mathematics and advanced applications (ENUMATH), Voss, Norway, Sept. 24-29, 2017
7th International Conference on Advanced COmputational Methods in Engineering (ACOMEN), Gent, Belgium, Sept. 18-22, 2017
9th International Conference on Porous Media (Interpore), Delft, The Netherlands, May 8-11, 2017
5th International Conference on Applications of Porous Media, Cluj Napoca, Romania, Aug. 25-28, 2013
2nd International Conference on Non-linearities and Upscaling in Porous Media (NUPUS) Bergen, Sept. 30- Oct. 2, 2013 
6th International Conference on Applied Mathematics (ICAM6), Baia Mare, Romania, Sept. 18-21, 2008

List of publications 

Refereed journal publications:

  1. Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillarity effectsNumer. Math. (online first), with S. Karpinski (also see CASA Report 15-27, Eindhoven University of Technology). 
  2. Upscaling of a tri-phase phase-field model for precipitation in porous media, IMA J. Appl. Math. Vol. 81 (2016), pp. 898-939, with M. Redeker and C. Rohde (see also CASA Report 14-31, Eindhoven University of Technology/NUPUS Preprint 2014/6, University of Stuttgart). 
  3. Homogenization of a pore scale model for precipitation and dissolution in porous mediaIMA J. Appl. Math. Vol. 81 (2016), pp. 877-897, with K. Kumar and M. Neuss-Radu (see also CASA Report 12-32, Eindhoven University of Technology).
  4. Analysis and upscaling of a reactive transport model in fractured porous media with nonlinear transmission condition, Vietnam J. Math. (accepted), with J. Bogers and K. Kumar (see also CASA Report 15-20, Eindhoven University of Technology/NUPUS Preprint 2015/4, University of Stuttgart). 
  5. Upscaling of non-isothermal reactive porous media flow under dominant Peclet number: the effect of changing porosityMultiscale Model. Simul. Vol. 14 (2016), pp. 502–533, with C. Bringedal, I. Berre, and F.A. Radu (see also CASA Report 15-32, Eindhoven University of Technology).
  6. Degenerate two-phase porous media flow model with dynamic  capillarityJ. Differential Equations Vol. 260 (2016), pp 2418–2456, with X. Cao (see also CASA Report 15-3, Eindhoven University of Technology). 
  7. Two-phase flow in porous media: dynamic capillarity and heterogeneous mediaTransp. Porous Med. Vol. 114 (2016), pp. 283–308, with C.J. van Duijn and X. Cao (see also CASA Report 15-17, Eindhoven University of Technology/NUPUS Preprint 2015/3, University of Stuttgart, 2015). 
  8. Upscaling of non-isothermal reactive porous media flow with changing porosityTransp. Porous Med. Vol. 114 (2016), pp. 371-393, with C. Bringedal, I. Berre and F.A. Radu (see also CASA Report 15-16, Eindhoven University of Technology, 2015). 
  9. Pore scale model for non-isothermal flow and mineral precipitation and dissolution in a thin stripJ. Comput. Appl. Math. Vol. 289 (2015), pp 346–355, with C. Bringedal, I. Berre and F.A. Radu (see also CASA Report 14-24, Eindhoven University of Technology, 2014).
  10. A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous mediaJ. Comput. Appl. Math. Vol. 289 (2015), pp 134-141, with F.A. Radu, J.M. Nordbotten and K. Kumar (see also CASA Report 14-25, Eindhoven University of Technology, 2014).
  11. Two-phase porous media flows with dynamic capillary effects and hysteresis: uniqueness of weak solutionsComput. Math. Appl. Vol. 69 (2015), pp 688-695, with X. Cao (see also CASA Report 14-27, Eindhoven University of Technology, 2014). 
  12. Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous mediaAppl. Math. Letters Vol. 46 (2015), pp 25–30, with X. Cao (see also CASA Report 14-26, Eindhoven University of Technology, 2014).
  13. Rigorous upscaling of rough boundaries for reactive flowsZAMM Z. Angew. Math. Mech.Vol. 94 (2014), pp.624-644, with K. Kumar and M. van Helvoort (see also CASA Report 12-37 Eindhoven University of Technology, 2012). 
  14. Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous mediaNumer. Math.Vol. 124 (2014), pp 715-749, with K. Kumar and F.A. Radu (see also CASA Report 12-08 Eindhoven University of Technology, 2012). 
  15. An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flowMath. Comp.Vol. 83 (2014), pp. 153-188, with C. Cancès and M. Vohralík (see also CASA Report 11-46 Eindhoven University of Technology, 2011).
  16. Upscaling of reactive flows in domains with moving oscillating boundariesDiscrete Contin. Dyn. Sys.Ser. SVol 7 (2014), pp. 95-111, with K. Kumar and T.L. van Noorden (see also CASA Report 12-12 Eindhoven University of Technology, 2012). 
  17. Moisture transport in concrete during wetting/drying cyclesChemistry and Materials ResearchVol 5 (2013), pp. 86-90, with A. Taher, X. Cao, A.J.J van der Zanden, H.J.H Brouwers.
  18. Shock waves and two phase porous media flowsNieuw Arch. Wiskd. (5)Vol. 14 (2013), pp. 207-211, with C.J. van Duijn. 
  19. Convergence analysis of mixed numerical schemes for reactive in a porous mediumSIAM J. Numer. Anal.Vol. 51 (2013), pp. 2283-2308, with K. Kumar and F.A. Radu (see also CASA Report 12-20 Eindhoven University of Technology, 2012). 
  20. A mixed finite element discretization scheme for a concrete carbonation model with concentration-dependent porosityJ. Comput. Appl. Math.Vol. 246 (2013), pp. 74-85, with F.A. Radu, A. Muntean, N. Suciu and O. Kolditz (see also CASA Report 11-49, Eindhoven University of Technology 2011). 
  21. A multiscale domain decomposition approach for chemical vapor depositionJ. Comput. Appl. Math.Vol. 246 (2013), pp. 65-73, with J. Bogers, K. Kumar, P.H.L. Notten and J.F.M. Oudenhoven (see also CASA Report 12-11, Eindhoven University of Technology, 2012).
  22. Travelling wave solutions for degenerate pseudo-parabolic equation modelling two-phase flow in porous mediaNolinear Anal. Real World Appl.Vol. 14 (2013), pp. 1361–1383, with C.J. van Duijn, Y. Fan and L.A. Peletier (see also CASA Report 10-01, Eindhoven University of Technology, 2010).
  23. Equivalent formulations and numerical schemes for a class of pseudo-parabolic equationsJ. Comput. Appl. Math.Vol. 246 (2013), pp. 86-93, with Y. Fan.
  24. A class of pseudo-parabolic equations: existence, uniqueness of weak solutions, and error estimates for the Euler-implicit discretizationMath. Methods Appl. Sci.Vol. 34 (2011), pp. 2329-2339, with Y. Fan (see also CASA Report 10-44, Eindhoven University of Technology, 2010). 
  25. Effective dispersion equations for reactive flows involving free boundaries at the micro-scaleMultiscale Model. Simul.Vol. 9 (2011), pp. 29-58, with K. Kumar and T.L. van Noorden (see also CASA Report 10-43, Eindhoven University of Technology, 2010). 
  26. Regularization schemes for degenerate Richards equations and outflow conditionsMath. Models Methods Appl. Sci. (M3AS)Vol. 21 (2011), pp. 1685-1712, with B. Schweizer (see also CASA Report 09-35, Eindhoven University of Technology, 2009).
  27. Mixed finite element discretization and Newton iteration for a reactive contaminant transport model with nonequilibrium sorption: convergence analysis and error estimatesComput. Geosci.Vol. 15 (2011), pp. 431-450, with F.A. Radu (see also CASA Report 09-34, Eindhoven University of Technology, 2009).
  28. An effective model for biofilm growth in a thin stripWater Resour. Res., Vol. 46 (2010), W06505, doi:10.1029/2009WR008217, with T.L. van Noorden, A. Ebigbo and R. Helmig (see also Preprint 2009/5,  NUPUS, 2009).
  29. Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching modelMath. Methods Appl. Sci.Vol. 33 (2010), pp. 1059-1077, with E. Cariaga, F. Concha and M. Sepulveda.
  30. Newton method for reactive solute transport with equilibrium sorption in porous mediaJ. Comput. Appl. Math.Vol. 234 (2010), pp. 2118-2127, with F.A. Radu.
  31. Error estimates for the finite volume discretization for the porous medium equationJ. Comput. Appl. Math.Vol. 234 (2010), pp. 2135-2142, with M. Sepulveda, O.P Vera Villagran and F.A. Radu (see also CASA Report 08-13, Eindhoven University of Technology, 2008).
  32. Analysis of an Euler implicit - mixed finite element scheme for reactive solute transport in porous media, Numer. Methods Partial Differential EquationsVol. 26 (2010) pp. 320 - 344, with F.A. Radu and S. Attinger (see also CASA Report 08-06, Eindhoven University of Technology, 2008). 
  33. Horizontal redistribution of fluids in a porous medium: the role of interfacial area in modeling hysteresisAdv. Water Resour.Vol. 32 (2009), pp. 383-390, with C.J. van Duijn, J. Niessner and S.M. Hassanizadeh (see also Preprint 2008/3,  NUPUS, 2008).
  34. Numerical schemes for a pseudo-parabolic Burgers equation: discontinuous data and long-time behaviourJ. Comput. Appl. Math.Vol. 224 (2009),  pp. 269-283, with C.M. Cuesta (see also CASA Report 07-22, Eindhoven University of Technology, 2007).
  35. Effective dispersion equations for reactive flows with dominant Peclet and Damkohler numbers, Advances in Chemical EngineeringVol. 34 (2008), pp. 1-45, with C.J. van Duijn, A. Mikelic and C. Rosier (see also CASA Report 07-20, Eindhoven University of Technology, 2007).
  36. A Stefan problem modelling dissolution and precipitation in porous mediaIMA J. Appl. Math.Vol. 73 (2008), pp. 393-411, with T.L. van Noorden (see also CASA Report 06-30, Eindhoven University of Technology, 2006).
  37. Error estimates for a mixed finite element discretization of some degenerate parabolic equationsNumer. Math.Vol 109 (2008), pp. 285-311, with F.A. Radu and P. Knabner (see also Preprint no 12/07, Max Planck-Institute of Mathematics, Leipzig, 2007).
  38. A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous mediaSIAM J. Numer. Anal.Vol. 46 (2008), pp. 895-919, with V.M. Devigne, C.J. van Duijn, and T. Clopeau (see also CASA Report 06-28, Eindhoven University of Technology, 2006).
  39. Crystal dissolution and precipitation in porous media: L1-contraction and uniqueness, Discrete Contin. Dyn. Syst., supplement 2007, pp. 1013-1020, with T.L. van Noorden and M. Röger (see also CASA Report 06-32, Eindhoven University of Technology (2006)).
  40. A new class of entropy solutions of the Buckley-Leverett equationSIAM J. Math. Anal. Vol. 39 (2007), pp. 507-536, with C.J. van Duijn and L.A. Peletier (see also MAS-E0503 Report, CWI, Amsterdam (2005); also appeared as MI 2005-03 Report, Mathematical Institute, Leiden University).
  41. Effective equations for two-phase flow in porous media: the effect of trapping at the micro scale, Transp. Porous Med. Vol. 69 (2007), pp. 411-428, with C.J. van Duijn, H. Eichel and R. Helmig (see also CASA Report 05-34, Eindhoven University of Technology, 2005).
  42. Crystal dissolution and precipitation in porous media: pore scale analysisJ. Reine Angew. Math. Vol. 577 (2004), pp. 171-211, with C.J. van Duijn (see also RANA Preprint 03-27, Eindhoven University of Technology, 2003).
  43. Mixed finite elements for the Richards' equation: linearization procedureJ. Comput. Appl. Math., Vol. 168, No. 1-2 (2004), pp. 365-373, with F.A. Radu and P. Knabner (see also Preprint No. 293, IAM, University of Erlangen, 2002).
  44. Order of convergence estimates for an Euler implicit, mixed finite element discretization of Richards' equationSIAM J. Numer. Anal.Vol. 42, No 4 (2004), pp. 1452-1478, with F.A. Radu and P. Knabner (see also RANA Preprint 02-06, Eindhoven University of Technology, 2002).
  45. Error estimates for a time discretization method for the Richards' equationComput. Geosci.Vol. 6, No. 2 (2002), pp. 141-160 (see also RANA Preprint 01-16, Eindhoven University of Technology, 2001, and related information.
  46. Effective equations for two-phase flow with trapping on the micro scaleSIAM J. Appl. Math.Vol. 62, No. 5 (2002), pp. 1531-1568, with C.J. van Duijn and A. Mikelic (see also RANA Preprint 01-02, Eindhoven University of Technology, 2001).
  47. A numerical approach to degenerate parabolic equationsNumer. Math., Vol. 92, No. 2 (2002), pp. 357-381, with W.A. Yong.
  48. A stabilized Chebyshev-Galerkin approach for the biharmonic operator*, Bul. Stiint. Univ. Baia-Mare Ser. B, (now Carpathian J. Math.Vol. XVI (2000), pp. 335 - 344.
  49. Use of weighted least squares splines for calibration in analytical chemistryJ. Chem. Inf. Comput. Sci.No. 40 (2000), pp. 91-98, with V. Pop, S. Cobzac, and C. Sarbu.
  50. On the existence and uniqueness of a solution for an elliptic problem*, Studia Univ. Babes-Bolyai Math., No. 45 (2000), pp. 97-107, with W.A. Yong.
  51. A stabilized approach to the Chebyshev-tau method*, Studia Univ. Babes-Bolyai Math., 42 (1997), pp. 67-79.
  52. Weighted least squares spline approximation, Babes Bolyai Univ. Fac. Math. Comput. Sci. Res. Semin. Prepr., No. 6 (1996), pp. 72-83.
  53. On the Chebyshev-tau approximation for some singularly perturbed two-point boundary value problems - numerical experimentsRev. Anal. Numer. Theor. Approx. (now Journal of Numerical Analysis and Approximation Theory), No. 24 (1995), pp. 117-124, with C.I. Gheorghiu.
  54. On a mean value theorem with divided differencesBul. Stiint. Univ. Baia-Mare Ser. B (now Carpathian J. Math.), Vol. XI (1995), pp. 75-88.
  55. On parallel execution in LOOP-EXIT schemes, Bul. Stiint. Univ. Baia-Mare Ser. B (now Carpathian J. Math.), Vol. VIII (1992), pp. 77-87.
  56. Proprietati de medie ale functiilor reale (Mean value properties of for real functions, in romanian), Lucr. Semin. Didact. Mat., No. 7 (1990-1991), pp. 97-108.

Book contributions and proceedings:

  1. Non-equilibrium Models for Two Phase Flow in Porous Media: the Occurrence of Saturation Overshoots, in ICAPM 2013, Proceedings of the 5th International Conference on Applications of Porous Media, Cluj University Press, 2013, pp. 59-70, with C.J. van Duijn, S.M. Hassanizadeh, and P.A. Zegeling. 
  2. Numerical analysis for an upscaled model for dissolution and precipitation in porous media, in Numerical Mathematics and Advanced Applications 2011, Proceedings of ENUMATH 2011, A. Cangiani, R.L. Davidchack, E. Georgoulis, A.N. Gorban, J. Levesley, M.V. Tretyakov (Eds.),Springer-Verlag Heidelberg, 2013, pp. 703-711, with K. Kumar and F. A. Radu.
  3. Error estimates for an Euler implicit-mixed finite element scheme for reactive transport in saturated/unsaturated soilPAMM - Proc. Appl. Math. Mech.Vol. 7 (2007), pp. 1024705-1024706, with Florin A. Radu, Sabine Attinger, Peter Knabner.
  4. On the homogenization of the Buckley-Leverett equation including trapping effects at the micro scalePAMM - Proc. Appl. Math. Mech.Vol. 7 (pp. 2007), 1024701-1024702, with B. Schweizer.
  5. Effective Two-Phase Flow Models Including Trapping Effects at the Micro Scale, in Progress in Industrial Mathematics at ECMI 2006, L.L. Bonilla, M. Moscoso, G. Platero, J.M. Vega (Eds.), Mathematics in Industry, Vol. 12, Springer-Verlag Heidelberg, 2008, pp. 333 - 339, with C.J. van Duijn, H. Eichel and R. Helmig.
  6. A Numerical Scheme for the Micro Scale Dissolution and Precipitation in Porous Media, in Numerical Mathematics and Advanced Applications, A. Bermudez de Castro, D. Gomez, P. Quintela, P. Salgado, P. (Eds.), Springer-Verlag Heidelberg, 2006, pp. 362 - 370, with V.M. Devigne, C.J. van Duijn and T. Clopeau.
  7. Newton Type Methods for the Mixed Finite Element Discretization of Some Degenerate Parabolic Equations, in Numerical Mathematics and Advanced Applications, A. Bermudez de Castro, D. Gomez, P. Quintela, P. Salgado (Eds.), Springer-Verlag Heidelberg, 2006, pp. 1192 - 1200, with F. A. Radu and P. Knabner.
  8. Numerical schemes for degenerate parabolic problems, in Progress in Industrial Mathematics at ECMI 2004, A. Di Bucchianico, R.M.M. Mattheij, M. A. Peletier (Eds.), Mathematics in Industry, Vol. 8, Springer-Verlag Heidelberg, 2006, pp. 513 - 517.
  9. Non-classical shocks for the Buckley-Leverett equation: degenerate pseudo-parabolic regularisation, in Progress in Industrial Mathematics at ECMI 2004, A. Di Bucchianico, R.M.M. Mattheij, M. A. Peletier (Eds.), Mathematics in Industry, Vol. 8, Springer-Verlag Heidelberg, 2006, pp. 569 - 573, with C.M. Cuesta and C.J. van Duijn.
  10. A Microscopic Description of Crystal Dissolution and Precipitation, in IUTAM Symposium on Physicochemical and Electromechanical Interactions in Porous Media, J.M. Huyghe, P.A.C. Raats, S.C. Cowin (Eds.), Solid Mechanics and Its Applications, Vol. 125, Springer-Verlag Heidelberg, 2006, pp. 343 - 348, with C.J. van Duijn.
  11. Micro-scale analysis of crystal dissolution and precipitation in porous media, in Proceedings of the Workshop on Modelling and Simulation in Chemical Engineering, A. E. Rodrigues, P. Oliveira, J. A. Castro, J. ddA. Ferreira and M. do Carmo Coimbra (Eds.), Centro Internacional de Matemática (CIM), Monographs and Proceedings No. 22, 2003, with C.J. van Duijn
  12. Analysis of a discretization method for the Richards' equation, in Analysis and Simulation of Multifield Problems, W. Wendland, M. Efendiev (Eds.), Lecture Notes in Applied and Computational Mechanics, Vol. 12, Springer-Verlag Heidelberg, 2003, pp. 171-178.
  13. The Euro Diffusion Project**, Proceedings of the forty-second European Study Group with Industry, G. M. Hek (ed.), CWI Syllabus 51 CWI, Amsterdam (2002), pp. 41 - 57, with P. van Blokland, L. Booth, K. Hiremath, M. Hochstenbach, G. Koole, M. Quant, D. Wirosoetisno.
  14. Order of Convergence Estimates in Time and Space for an Implicit Euler/Mixed Finite Element Discretization of Richards' Equation by Equivalence of Mixed and Conformed Approaches ALGORITMY 2002, 16th Conference on Scientific Computing (Proceedings of contributed papers and posters), A. Handlovicova, Z. Kriva, K. Mikula, D. Sevcovic (eds.), Slovak University of Technology, Bratislava (2002), pp. 58 - 65, with F. A. Radu and P. Knabner.
  15. Effective Buckley-Leverett Equations by Homogenization, in Progress in Industrial Mathematics at ECMI 2000, M. Anile, V. Capasso, A. Greco (Eds.), Mathematics in Industry, Vol. 1, Springer-Verlag Heidelberg, 2002, pp. 42-51 (see also RANA Preprint 01-01, Eindhoven University of Technology, 2001), with C.J. van Duijn and A. Mikelic.
  16. A maximum principle based numerical approach to porous medium equations*,ALGORITMY'97, Proceedings of the 14 Conference on Scientific Computing, A. Handlovicova, M. Komornikova, K. Mikula (eds.), Slovak Technical University, Bratislava (1997), pp. 207 - 218, with W.A. Yong.
  17. A modified Chebyshev-tau method for a hydrodynamic stability problem*, Approximation and Optimization, Proceedings of the International Conference on Approximation and Optimization, D.D. Stancu, Gh. Coman, W.W. Breckner, P. Blaga (eds.), Transilvania Press, Cluj-Napoca, vol. II (1997), pp. 119-126, with C.I. Gheorghiu.
  18. A Chebyshev-Galerkin method for fourth order problems*, Approximation and Optimization, Proceedings of the International Conference on Approximation and Optimization, D.D. Stancu, Gh. Coman, W.W. Breckner, P. Blaga (eds.), Transilvania Press, Cluj-Napoca, vol. II (1997), pp. 217-220, with C.I. Gheorghiu.
  19. Asupra unor teoreme de medie (On some mean value theorems)
     

Reports:

Hasselt University, CMAT Reports

  1. Fractal structures in freezing brine, Hasselt University, UP-16-03, with Sergey Alyaev, Eirik Keilegavlen and Jan Martin Nordbotten. 
  2. A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities, Hasselt University, UP-16-04, with Florin A. Radu, Kundan Kumar and Jan Martin Nordbotten.
  3. Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two phase flow in porous media with dynamic capillarity effects, Hasselt University, UP-16-05, with Stefan Karpinski and Florin A. Radu.

 Eindhoven University of Technology, CASA Reports

  1. A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media, CASA Report 15-39, Eindhoven University of Technology, with F.A. Radu, K. Kumar, J.M. Nordbotten. 
  2. A multipoint flux approximation finite volume scheme for two phase porous media flow with dynamic capillarity, CASA Report 15-33, Eindhoven University of Technology, with X. Cao and S.F. Nemadjieu.
  3. Existence of weak solutions to a degenerate pseudo-parabolic equation modeling two-phase flow in porous media, CASA Report 10-75, Eindhoven University of Technology (2010), with C. Cancès, C. Choquet and Y. Fan.
  4. A note on the solution of a coupled parabolic-elliptic system arising in linear stability analysis of gravity-driven porous media flow, CASA Report 04-30, Eindhoven University of Technology (2004), with G.J.M. Pieters and C.J. van Duijn.

University of Heidelberg, IWR Preprints

  1. Regularization methods in the numerical analysis of some degenerate parabolic equations, Preprint 98-43 (SFB 359), IWR, University of Heidelberg (1998) (my Ph'D thesis, as gzipped .ps, or as gzipped .pdf file).
  2. A numerical approach to porous medium equations, Preprint 96-50 (SFB 359), IWR, University of Heidelberg (1996), with W.A. Yong (you can find the file here).

 Others:

  1. Editor, Oberwolfach Report 11(3) "Reactive Flows in Deformable, Complex Media", Report No. 43/2014, Mathematisches Forschungsinstutut Oberwolfach, pp. 2409–2468, Editors: M. Gerritsen, J. M. Nordbotten, I.S. Pop, B.  Wohlmuth (DOI: 10.4171/OWR/2014/43).
  2. Dynamic capillarity models for porous media flows: travelling waves and non-classical shocks, in Oberwolfach Report 10(2) "Hyperbolic Techniques for Phase Dynamics", Report No. 29/2013, Mathematisches Forschungsinstut Oberwolfach, pp.1748-1751, with C.J. van Duijn, Y. Fan, L.A. Peletier (DOI: 10.4171/OWR/2013/29). 
  3. Editorial, Special Section "Multiscale Problems in Science and Technology. Challenges to Mathematical Analysis and Perspectives"Nolinear Anal. Real World Appl., Vol. 15 (2014), pp. 263–265, with N. Antonić, V. Capasso, W. Jäger, A. Mikelić and M. Neuss-Radu.
  4. Editorial, Special issue on “Mathematics of Porous Media” dedicated to Professor C.J. van Duijn on the occasion of his 60th anniversary, Comput. Geosci.Vol. 17 (2013), pp. 443-446, with P. Knabner and A. Mikelić.
  5. Editorial, Special issue on Multi-scale problems in sustainable resource managementIMA J. Appl. MathVol. 77(2012), pp. 727-728, with C.J. van Duijn, M.A. Peletier, S.M. Hassanizadeh, A. Mikelic and B. Schweizer.
  6. An existence result related to two-phase flows with dynamic capillary pressure, Proceedings of the 4th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN'11, Saidia, Morocco, 2011), Granada, Universidad de Granada, 2011, pp. 1-4, with C. Cancès, C. Choquet, Y. Fan. 
  7. Crystal dissolution and precipitation in porous media: the case of fixed geometry, Proceedings of the XVI International Conference on Computational Methods in Water Resources, Copenhagen, Denmark, 2006, with C.J. van Duijn, V.M. Devigne, T.L. van Noorden and T. Clopeau.
  8. Crystal dissolution and precipitation in porous media: variable geometry, Proceedings of the XVI International Conference on Computational Methods in Water Resources, Copenhagen, Denmark, 2006, with T.L. van Noorden and C.J. van Duijn.
  9. Dissolution and precipitation processes in porous media: a pore scale model, Oberwolfach Report 2(4) "Reactive Flow and Transport Through Complex Systems", Report No. 49/2005, Mathematisches Forschungsinstut Oberwolfach, pp. 2814-2816, with C.J. van Duijn and V.M. Devigne (DOI: 10.4171/OWR/2005/49).
  10. Finite element approximation of saturated/unsaturated flow and reactive solute transport in porous media, Oberwolfach Report 2(1) "Gemischte und nicht-standard Finite-Elemente-Methoden mit Anwendungen", Report no. 5/2005, Mathematisches Forschungsinstut Oberwolfach, pp. 286-289, with F.A. Radu and P. Knabner (DOI: 10.4171/OWR/2005/05). 
  11. Moneda europeana vazuta de un matematician (The european currency as seen by a mathematician; in Romanian), Esential No. 7 (2003).
  12. Analysis of a discretization method for Richards' equation, in Proceedings of the Second International Conference on Advanced Computational Methods in Engineering, ACOMEN 2002, M. Hogge, J.-P. Ponthot, L. Stainier, H. De Schepper, R. Van Keer and E. Noldus (Eds.), 2002 (available on CD), with F.A. Radu and P. Knabner.
  13. Flow simulation in unsaturated, heterogeneous soils, Shaping the Future Forum, Global Dialogue 3: Science and Technology - Thinking the Future, Expo 2000 Hannover (2000).
  14. Metoda elementului finit: aplicatii la ecuatia mediului poros (The finite element method applied to the porous medium equation;p in Romanian), report, Babes-Bolyai University Cluj-Napoca, Facultyof Mathematics and Informatics, Cluj-Napoca, (1997).
  15. Aproximarea numerica a ecuatiilor diferentiale cu ajutorul metodelor spectrale (Numerical approximation of differential equations with spectral methods; in Romanian), report, Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Informatics, Cluj-Napoca, (1995).
  16. Analiza Numerica. Lucrari de laborator (Numerical analysis. Laboratory exercises; in Romanian), lito, Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Informatics, Cluj-Napoca, (1994), with P. Blaga, Gh. Coman, R. Trambitas and D. Vasaru.

*Gzipped postscript version of the submitted manuscript 
**Gzipped postscript version of the corresponding pages in the book

PhD*

Xiulei Cao, Mathematical and Numerical Analysis for Non-Equilibrium Two Phase Flow Models in Porous Media (2016, Eindhoven University of Technology)
Carina BringedalModeling of heat transfer in porous media in the context of geothermal energy extraction (2015, University of Bergen) 
Magnus Redeker, Adaptive Two-Scale Models for Processes with Evolution of Microstructures (2014, Universität Stuttgart)
Kundan KumarUpscaling of Reactive Flows (2012, Eindhoven University of Technology)
Yabin Fan, Dynamic Capillarity in Porous Media - Mathematical Analysis (2012, Eindhoven University of Technology)

Ongoing PhD (co-)supervision: 
Stefan Karpinski (Hasselt University)
Koondanibha Mitra (Eindhoven University of Technology)
Maikel Bosschaert (Hasselt University)
David Landa Marban (University of Bergen)
 
Postdoctoral researchers

Tycho van Noorden (2004-2010, Eindhoven University of Technology), currently at COMSOL BV
Simplice Nemadjieu (2012-2014, Eindhoven University of Technology), currently at the University of Erlangen