Publications

Peer-reviewed Articles

V. Chalupecký, A. Muntean, Semi-discrete finite difference multiscale scheme for a concrete corrosion model: a priori estimates and convergence. Japan J. Indust. Appl. Math. 29 (2012), pp. 289–316
V. Chalupecký, T. Fatima, A. Muntean, Multiscale sulfate attack on sewer pipes: Numerical study of a fast micro-macro mass transfer limit. Journal of Math-for-Industry 2 (2010B-7) (2010), pp. 171–181
V. Chalupecký, C. Eck, H. Emmerich, Computation of nonlinear multiscale coupling effects in liquid phase epitaxy. Eur. Phys. J. Special Topics 149 (2007), pp. 1–17
G. Krishnamoorthy, H. Emmerich, V. Chalupecký, Estimation of critical dislocation distances. Eur. Phys. J. Special Topics 149 (2007), pp. 19–26
M. Beneš, V. Chalupecký, K. Mikula, Geometrical image segmentation by the Allen-Cahn equation. Applied Numerical Mathematics 51 (2004), pp. 187–205

V. Chalupecký, M. Kimura, An energy-consistent model of dislocation dynamics in an elastic body. In Y. Nishiura, M. Kotani (Eds.), Proceedings of Mathematical Challenges in a New Phase of Materials Science, Kyoto, Japan, August 2014. Springer Japan, Tokyo (2016), pp. 53–68 arXiv:1601.02182
V. Chalupecký, H. Emmerich, Numerical scheme for two-scale model of liquid phase epitaxy. In: M. Beneš, M. Kimura, T. Nakaki (eds.): Proceedings of Czech Japanese Seminar in Applied Mathematics, Prague, September 14–16, 2006, in COE Lecture Note, Vol. 6, Faculty of Mathematics, Kyushu University, Fukuoka, 2007, ISSN 1881-4042, pp. 50–61
V. Chalupecký, Numerical studies of Cahn-Hilliard equation and applications in image processing. In: M. Beneš, J. Mikyška, T. Oberhuber (eds.): Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2004, Czech Technical University in Prague, August 4–7, 2004, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2005, ISBN 80-01-03181-0, pp. 11–24

Preprints on arXiv.org

V. Chalupecký, Mesh deformation with penalty-based collision response. MI Lecture Note Series 50, Kyushu University (2013), 33–38. Proceedings of MEIS2013: Mathematical Progress in Expressive Image Synthesis, October 21–23, 2013, Kyushu University.
V. Chalupecký, T. Fatima, J. Kruschwitz, A. Muntean, Macroscopic corrosion front computations of sulfate attack in sewer pipes based on micro-macro reaction-diffusion model. COE Lecture Note 39 (2012), pp. 22–31 Proceedings of Joint Research Workshop Multiscale Mathematics, Dec 9–11, 2011, Institute of Mathematics for Industry, Kyushu University. Also available as: Eindhoven University of Technology, CASA-Report No. 12-01 (2012), arXiv:1201.6460
V. Chalupecký, A. Muntean, Semi-discrete finite difference multiscale scheme for a concrete corrosion model: approximation estimates and convergence. Kyushu University, MI Preprint Series MI2011-13 (2011), arXiv:1106.4894
V. Chalupecký, Ch. Eck, and H. Emmerich, A two-scale model for liquid phase epitaxy. Preprint 196, DFG SPP 1095 “Mehrskalenprobleme” (2006)
V. Chalupecký, M. Beneš, Some applications of parabolic differential equations of Allen-Cahn type in image processing. In: J. Kuben, J. Vosmanský (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27–31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 83–101

H. Itou, M. Kimura, V. Chalupecký, K. Ohtsuka, D. Tagami, A. Takada (Eds.), Mathematical Analysis of Continuum Mechanics and Industrial Applications. Proceedings of the International Conference CoMFoS15. Mathematics for Industry, Vol. 26, Springer (2017)

Vladimír Chalupecký, Non-linear diffusion PDEs and their application. Czech Technical University in Prague, 2008.