Publicaties
2020
Wetenschappelijke publicaties
Iqbal, S., & Zegeling, P. A. (2020). An efficient nonlinear multigrid scheme for 2D boundary value problems. Applied Mathematics and Computation, 372, [124898]. https://doi.org/10.1016/j.amc.2019.124898
Iqbal, S., & Zegeling, P. A. (2020). A numerical study of the higher-dimensional Gelfand-Bratu model. Computers and Mathematics with Applications, 79(6), 1619-1633. https://doi.org/10.1016/j.camwa.2019.09.018
2019
Wetenschappelijke publicaties
Sehar Iqbal, I., & Zegeling, P. A. (2019). Higher Order Nonuniform Grids for Singularly Perturbed Convection-Diffusion-Reaction Problems. Computational Mathematics and Mathematical Physics, 59(12), 2057-2079. https://doi.org/10.1134/S0965542519120108
Iqbal, S., & Zegeling, P. A. (2019). Sixth-order adaptive non-uniform grids for singularly perturbed boundary value problems. In V. A. Garanzha, L. Kamenski, & H. Si (Eds.), Numerical geometry, grid generation and scientific computing: proceedings of the 9th International Conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 2018 (pp. 109-124). (Lecture Notes in Computational Science and Engineering; Vol. 131). Springer. https://doi.org/10.1007/978-3-030-23436-2_8
2018
Wetenschappelijke publicaties
Zhang, H., & Zegeling, P. A. (2018). Simulation of thin film flows with a moving mesh mixed finite element method. Applied Mathematics and Computation, 338, 274-289. https://doi.org/10.1016/j.amc.2018.06.017
Zegeling, P. A., & Iqbal, S. (2018). Nonstandard finite differences for a truncated Bratu–Picard model. Applied Mathematics and Computation, 324, 266-284. https://doi.org/10.1016/j.amc.2017.12.005
Zhou, H., & Zegeling, P. A. (2018). Stability and Convergence Analysis of a Class of Continuous Piecewise Polynomial Approximations for Time-Fractional Differential Equations. Journal of Scientific Computing, 77(1), 225-262. https://doi.org/10.1007/s10915-018-0704-z
2017
Wetenschappelijke publicaties
Zhang, H., & Zegeling, P. A. (2017). A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media. Communications in Computational Physics, 22(4), 935-964. https://doi.org/10.4208/cicp.OA-2016-0220
Zhang, H., & Zegeling, P. A. (2017). Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method. Journal of Computational Physics, 345, 510-527. https://doi.org/10.1016/j.jcp.2017.05.041
Ateş, I., & Zegeling, P. A. (2017). A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems. Applied Mathematical Modelling, 47, 425-441. https://doi.org/10.1016/j.apm.2017.03.006
Zhang, H., & Zegeling, P. A. (2017). A Numerical Study of Two-Phase Flow Models with Dynamic Capillary Pressure and Hysteresis. Transport in Porous Media, 116(2), 825–846. https://doi.org/10.1007/s11242-016-0802-z
2016
Wetenschappelijke publicaties
Hönig, O., Zegeling, P. A., Doster, F., & Hilfer, R. (2016). Erratum to: Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media (Transp Porous Med, 10.1007/s11242-015-0618-2). Transport in Porous Media, 114(3), 859. https://doi.org/10.1007/s11242-016-0699-6
Zhang, H., & Zegeling, P. A. (2016). A numerical study of two-phase flow with dynamic capillary pressure using an adaptive moving mesh method. Journal of Computational Physics.
https://dspace.library.uu.nl/bitstream/handle/1874/388242/1604.04863v1?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/388242/1604.04863v1?sequence=1
Zegeling, P. A., Hönig, O., Doster, F., & Hilfer, R. (2016). Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media. Transport in Porous Media, 114(2), 309-340. https://doi.org/10.1007/s11242-015-0618-2
2015
Wetenschappelijke publicaties
Zegeling, P. A. (2015). An adaptive grid method for a non-equilibrium PDE model from porous media. Journal of Mathematical Study, 48(2), 187-198. https://doi.org/10.4208/jms.v48n2.15.05
2014
Wetenschappelijke publicaties
Kelling, R., Bickel, J., Nieken, U., & Zegeling, P. A. (2014). An adaptive moving grid method for solving convection dominated transport equations in chemical engineering. Computers and Chemical Engineering, 71, 467-477. https://doi.org/10.1016/j.compchemeng.2014.09.011
2013
Wetenschappelijke publicaties
van Duijn, C. J., Hassanizadeh, S. M., Pop, I. S., & Zegeling, P. A. (2013). Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots. In I. Pop, A. A. Mohamad, R. Trîmbiţaş, & T. Groşan (Eds.), ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media (pp. 59-70). Cluj University Press. http://www.win.tue.nl/~pop/pubs/ICAPM_2013PDHZ.pdf
Haynes, R. D., Huang, W., & Zegeling, P. A. (2013). A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method. Numerical Mathematics: Theory, Methods and Applications, 6(2), 364-383. https://doi.org/10.4208/nmtma.2013.1130nm
2012
Wetenschappelijke publicaties
Hilfer, R., Doster, F., & Zegeling, P. A. (2012). Nonmonotone Saturation Profiles for Hydrostatic Equilibrium in Homogeneous Porous Media. Vadose Zone Journal, 11(3). https://doi.org/10.2136/vzj2012.0021
2011
Wetenschappelijke publicaties
Zegeling, P. A., Lagzi, I., & Izsák, F. (2011). Transition of Liesegang precipitation systems: simulations with an adaptive grid PDE method. Communications in Computational Physics, 10(4), 867-881. https://doi.org/10.4208/cicp.050510.031210a
https://dspace.library.uu.nl/bitstream/handle/1874/233981/Zegeling.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/233981/Zegeling.pdf?sequence=1
Hu, G., & Zegeling, P. A. (2011). Simulating finger phenomena in porous media with a moving finite element method. Journal of Computational Physics, 230(8), 3249-3263. https://doi.org/10.1016/j.jcp.2011.01.031
2010
Wetenschappelijke publicaties
Doster, F., Zegeling, P. A., & Hilfer, R. (2010). Numerical solutions of a generalized theory for macroscopic capillarity. Physical Review. E, Statistical, nonlinear, and soft matter physics, 81(3), 036307. https://doi.org/10.1103/PhysRevE.81.036307
van Dam, A., & Zegeling, P. A. (2010). Balanced monitoring of flow phenomena in moving mesh methods. Communications in Computational Physics, 7(1), 138-170. https://doi.org/10.4208/cicp.2009.09.033
https://dspace.library.uu.nl/bitstream/handle/1874/196574/DamZegelingAdaptHD2DCiCP09-33.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/196574/DamZegelingAdaptHD2DCiCP09-33.pdf?sequence=1
2009
Wetenschappelijke publicaties
Berestycki, H., Diekmann, O., Nagelkerke, C. J., & Zegeling, P. A. (2009). Can a species keep pace with a shifting climate? Bulletin of Mathematical Biology, 71(2), 399-429. https://doi.org/10.1007/s11538-008-9367-5
2008
Wetenschappelijke publicaties
van Dam, A., & Zegeling, P. A. (2008). Improved monitoring of flow phenomena in moving mesh methods. In Proceedings of Numerical geometry, grid generation and scientific computing (NUMGRID 2008)
Wieggers, R. C., Goedheer, W. J., Akdim, M. R., Bijkerk, F., & Zegeling, P. A. (2008). A particle-in-cell plus Monte Carlo study of plasma-induced damage of normal incidence collector optics used in extreme ultraviolet lithography. Journal of Applied Physics, 103(1).
2007
Wetenschappelijke publicaties
Bisseling, R. H., Dajani, K., Dijkema, T. J., van de Leur, J. W., & Zegeling, P. A. (Eds.) (2007). Proceedings 58th European Study Group Mathematics with Industry Utrecht 2007: Utrecht, The Netherlands, January 29 – February 2, 2007. Universiteit Utrecht.
Creigen, V., Ferracina, L., Hlod, A., van Mourik, S., Sjauw, K., Rottschaefer, V., Vellekoop, M., & Zegeling, P. A. (2007). Modeling a heart pump. In H. B. Bisseling, K. Dajani., T. J. Dijkema, J. H. van de Leur, & P. A. Zegeling (Eds.), Proceedings of the 58th European Study Group Mathematics with Industry, Utrecht 2007 (pp. 7-25). Universiteit Utrecht. http://www.math.uu.nl/swi2007/proc2007.pdf
van Dam, A., & Zegeling, P. A. (2007). Mesh speeds versus solution interpolation - making moving mesh results sharper. In Proceedings of ICFD '07 ICFD.
Zegeling, P. A. (2007). Theory and Application of Adaptive Moving Grid Methods. In T. Tang, & J. Xu (Eds.), Adaptive Computations: Theory and Algorithms (pp. 251-296). Science Press.
2006
Wetenschappelijke publicaties
Zegeling, PA., Schielen, RMJ., & Leeuwen, T. V. (2006). Numerical simulation of alternating bars in straight channels: River, Coastal and Estuarine Morphodynamics. In River, Coastal and Estuarine Morphodynamics Taylor & Francis. https://doi.org/10.1201/9781439833896.ch51
van Dam, A., & Zegeling, P. A. (2006). A robust Moving Mesh Finite Volume Method applied to 1D Hyperbolic Conservation Laws from Magnetohydrodynamics. Journal of Computational Physics, 216(2), 526-546.
2005
Wetenschappelijke publicaties
Saucez, P., Vande Wouwer, A., & Zegeling, P. A. (2005). Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation. Journal of Computational and Applied Mathematics, 183(2), 343-357. https://doi.org/10.1016/j.cam.2004.12.028
Zegeling, P. A., de Boer, W., & Tang, H. (2005). Robust and efficient adaptive moving mesh solution of the 2-D Euler equations. Contemporary Mathematics, 383, 419-430.
Zegeling, P. A. (2005). On resistive MHD models with adaptive moving meshes. Journal of Scientific Computing, 24, 263-284.
2004
Wetenschappelijke publicaties
Zegeling, P. A. (2004). Tensor-product adaptive grids based on coordinate transformations. Journal of Computational and Applied Mathematics, 166, 343-360.
Saucez, P., Vande Wouwer, A., Schiesser, W. E., & Zegeling, P. A. (2004). Method of lines study of nonlinear dispersive waves. Journal of Computational and Applied Mathematics, 168, 413-423.
Zegeling, P. A., & Kok, H. P. (2004). Adaptive moving mesh computations for reaction-diffusion systems. Journal of Computational and Applied Mathematics, 168, 519-528.
2002
Wetenschappelijke publicaties
Zegeling, P. A., & Kok, H. P. (2002). Adaptive Moving Mesh Computations for Reaction-Diffusion Systems. In Proceedings of ACOMEN 2002
Saucez, P., Vande Wouwer, A., Schiesser, W. E., & Zegeling, P. A. (2002). Method of Lines Study of Nonlinear Dispersive Waves. In Proceedings of ACOMEN 2002
Zegeling, P. A. (2002). Tensor-Product Adaptive Grids Based on Coordinate Transformations. In S. Wang, & N. Fowkes (Eds.), Proceedings of BAIL 2002, An International Conference on Boundary and Internal Layers; Computational and Asymptotic Methods (pp. 285-290). University of Western Australia.
2001
Wetenschappelijke publicaties
Zegeling, P. A., & Keppens, R. (2001). Adaptive method of lines for magnetohydrodynamic pde models. In Adaptive Method of Lines (pp. 117-137). CRC Press.
Zegeling, P. A. (2001). Adaptive MOL for Magnetohydrodynamic PDE models. In A. Vande Wouwen, P. Saucez, & W. E. Schiessen (Eds.), Adaptive Method of Lines (pp. 117-137). Chapman & Hall/CRC.
2000
Wetenschappelijke publicaties
Champneys, A. R., McKenna, P. J., & Zegeling, P. A. (2000). Solitary waves in nonlinear beam equations: stability, fission and fusion. Nonlinear Dynamics, 21, 31-53.
Keppens, R., Nool, M., Zegeling, P. A., & Goedbloed, J. P. (2000). Dynamic Grid Adaptation for Computational Magnetohydrodynamics. In M. Bubac, H. Afsarnamesh, R. Williams, & B. Hertzberger (Eds.), Proceedings of HPCN Europe 2000 (pp. 61-70)
Overige resultaten
Zegeling, P. A., & Keppens, R. (2000). Adaptive Method of Lines for Magnetohydrodyn amid PDE models. Poster session presented at HPCN 2000, Amsterdam.
1998
Wetenschappelijke publicaties
Zegeling, P. A., Borsboom, M., & van Kester, J. A. T. M. (1998). Adaptive Moving-Grid Solutions of Shallow-Water Transport Models with Steep Vertical Gradients. In Proceedings of the XIIth International Conference on Computational Methods in Water Resources (pp. 1-10)
Zegeling, P. A. (1998). An Adaptive Moving Grid Method for PDE Models with Third and Fourth Order Spatial Derivatives. In M. Cross, B. K. Soni, J. F. Thompson, J. Hauser, & P. R. Eiseman (Eds.), Proceedings of the 6th International Conference on Numerical Grid Generation in Computational Field Simulations, (pp. 629-637). University of Greenwich.
Zegeling, P. A. (1998). R-refinement with Finite Elements or Finite Differences for Evolutionary PDE Models. Applied Numerical Mathematics, 26(1-2), 97-104.
1997
Wetenschappelijke publicaties
Doelman, A., Kaper, T. J., & Zegeling, P. A. (1997). Pattern formation in the 1-D Gray-Scott model. Nonlinearity, 10, 523-563.
1996
Wetenschappelijke publicaties
Zegeling, P. A. (1996). A dynamically-moving adaptive grid method based on a smoothed equidistribution principle along coordinate lines. In B. K. Soni, J. F. Thompson, J. Haüser, & P. Eiseman (Eds.), Numerical Grid Generation in Computational Field Simulations (pp. 609-617). NSF Engineering Research Center for CFS, Missisippi S. Univ..