List of publications
Refereed journal publications:
Homogenization of a pore scale model for precipitation and
dissolution in porous media, IMA J. Appl. Math.
IMA 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), .
Analysis of an interior penalty discontinuous Galerkin scheme for
two phase flow in porous media with dynamic capillarity effects, Numer. Math.
(accepted), with S. Karpinski (also see CASA
Report 15-27, Eindhoven University of Technology).
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).
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).
Upscaling
of non-isothermal reactive porous media flow under dominant
Peclet number: the effect of changing porosity, Multiscale 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).
Degenerate
two-phase porous media flow model with dynamic capillarity,
J.
Differential Equations Vol.
260 (2016), pp 2418–2456, with X. Cao (see also CASA
Report 15-3, Eindhoven University of Technology).
Two-phase flow in porous media: dynamic capillarity and
heterogeneous media, Transp.
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).
Upscaling
of non-isothermal reactive porous media flow with changing
porosity, Transp.
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).
Pore
scale model for non-isothermal flow and mineral precipitation
and dissolution in a thin strip, J.
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).
A
robust linearization scheme for finite volume based
discretizations for simulation of two-phase flow in porous media.
J.
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).
Two-phase porous media flows with dynamic capillary effects and
hysteresis: uniqueness of weak solutions, Comput.
Math. Appl. Vol.
69 (2015), pp 688-695, with X. Cao (see also CASA
Report 14-27, Eindhoven University of Technology, 2014).
Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media, Appl. Math. Letters Vol. 46 (2015), pp 25–30, with X. Cao (see also CASA Report 14-26, Eindhoven University of Technology, 2014).
Rigorous upscaling of rough boundaries for reactive flows, ZAMM 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).Effective dispersion equations for reactive flows involving free boundaries at the micro-scale, Multiscale 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).
Regularization
schemes for degenerate Richards equations and outflow conditions,
Math.
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).
Mixed finite element discretization and Newton
iteration for a reactive contaminant transport model with
nonequilibrium sorption: convergence analysis and error
estimates, Comput.
Geosci., Vol.
15 (2011), pp. 431-450, with F.A. Radu (see also CASA
Report
09-34, Eindhoven University of Technology, 2009).
Convergence analysis of a vertex-centered finite volume scheme for a copper heap leaching model, Math. Methods Appl. Sci., Vol. 33 (2010), pp. 1059-1077, with E. Cariaga, F. Concha and M. Sepulveda.
Newton method for reactive solute transport with equilibrium sorption in porous media, J. Comput. Appl. Math., Vol. 234 (2010), pp. 2118-2127, with F.A. Radu.
Error estimates for the finite volume discretization for the porous medium equation, J. 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).
Analysis
of an Euler implicit - mixed finite element scheme for reactive
solute transport in porous media, Numer.
Methods
Partial Differential Equations, Vol.
26
(2010) pp. 320 - 344, with F.A.
Radu and S. Attinger (see also CASA
Report
08-06, Eindhoven University of Technology, 2008).
Horizontal
redistribution
of fluids in a porous medium: the role of interfacial area in
modeling hysteresis, Adv.
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).
Numerical schemes for a pseudo-parabolic Burgers equation: discontinuous data and long-time behaviour, J. Comput. Appl. Math., Vol. 224 (2009), pp. 269-283, with C.M. Cuesta (see also CASA Report 07-22, Eindhoven University of Technology, 2007).
Effective dispersion equations for reactive flows with dominant Peclet and Damkohler numbers, Advances in Chemical Engineering, Vol. 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).
A Stefan problem modelling dissolution and precipitation in porous media, IMA 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).
Error estimates for a mixed finite element discretization of some degenerate parabolic equations, Numer. 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).
A numerical scheme for the pore scale simulation of crystal dissolution and precipitation in porous media, SIAM 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).
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)).
A new class of entropy solutions of the Buckley-Leverett equation, SIAM 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).
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).
Crystal dissolution and precipitation in porous media: pore scale analysis, J. 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).
Mixed finite elements for the Richards' equation: linearization procedure, J. 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).
Order of convergence estimates for an Euler implicit, mixed finite element discretization of Richards' equation, SIAM 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).
Error estimates for a time discretization method for the Richards' equation, Comput. Geosci., Vol. 6, No. 2 (2002), pp. 141-160 (see also RANA Preprint 01-16, Eindhoven University of Technology, 2001, and related information.
Effective equations for two-phase flow with trapping on the micro scale, SIAM 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).
A numerical approach to degenerate parabolic equations, Numer. Math., Vol. 92, No. 2 (2002), pp. 357-381, with W.A. Yong.
A stabilized Chebyshev-Galerkin approach for the biharmonic operator*, Bul. Stiint. Univ. Baia-Mare Ser. B, Vol. XVI (2000), pp. 335 - 344.
Use of weighted least squares splines for calibration in analytical chemistry, J. Chem. Inf. Comput. Sci., No. 40 (2000), pp. 91-98, with V. Pop, S. Cobzac, and C. Sarbu.
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.
A stabilized approach to the Chebyshev-tau method*, Studia Univ. Babes-Bolyai Math., 42 (1997), pp. 67-79.
Weighted least squares spline approximation, Babes Bolyai Univ. Fac. Math. Comput. Sci. Res. Semin. Prepr., No. 6 (1996), pp. 72-83.
On the Chebyshev-tau approximation for some singularly perturbed two-point boundary value problems - numerical experiments, Rev. Anal. Numer. Theor. Approx. (now Journal of Numerical Analysis and Approximation Theory), No. 24 (1995), pp. 117-124, with C.I. Gheorghiu.
On a mean value theorem with divided differences, Bul. Stiint. Univ. Baia-Mare Ser. B, Vol. XI (1995), pp. 75-88.
On parallel execution in LOOP-EXIT schemes, Bul. Stiint. Univ. Baia-Mare Ser. B, Vol. VIII (1992), pp. 77-87.
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:
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.
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.
Error estimates for an Euler implicit-mixed finite element scheme for reactive transport in saturated/unsaturated soil, PAMM - Proc. Appl. Math. Mech., Vol. 7 (2007), pp. 1024705-1024706, with Florin A. Radu, Sabine Attinger, Peter Knabner.
On the homogenization of the Buckley-Leverett equation including trapping effects at the micro scale, PAMM - Proc. Appl. Math. Mech., Vol. 7 (pp. 2007), 1024701-1024702, with B. Schweizer.
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.
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.
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.
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.
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.
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.
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
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.
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.
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.
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.
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.
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.
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.
Reports:
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.
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.
Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillarity effects, CASA Report 15-27, Eindhoven University of Technology, with S. Karpinski.
Analysis and upscaling of a reactive transport model in fractured
porous media involving nonlinear a transmission condition, CASA
Report 15-20, Eindhoven University of Technology/NUPUS
Preprint 2015/4, University of Stuttgart (2015), with J.
Bogers and K. Kumar.
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.
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.
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).
A numerical approach to porous medium equations, Preprint 96-50 (SFB 359), IWR, University of Heidelberg (1996), with W.A. Yong (the file can be found here, or here).
Others:
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).
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).
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.
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.Editorial, Special issue on Multi-scale problems in sustainable resource management, IMA J. Appl. Math, Vol. 77(2012), pp. 727-728, with C.J. van Duijn, M.A. Peletier, S.M. Hassanizadeh, A. Mikelic and B. Schweizer.
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.
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.
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.
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).
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).
Moneda europeana vazuta de un matematician (The european currency as seen by a mathematician; in Romanian), Esential No. 7 (2003).
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.
Flow simulation in unsaturated, heterogeneous soils, Shaping the Future Forum, Global Dialogue 3: Science and Technology - Thinking the Future, Expo 2000 Hannover (2000).
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).
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).
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