Publications
Peer-reviewed Articles
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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
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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
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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
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G. Krishnamoorthy, H. Emmerich, V. Chalupecký, Estimation of critical dislocation distances. Eur. Phys. J. Special Topics 149 (2007), pp. 19–26
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M. Beneš, V. Chalupecký, K. Mikula, Geometrical image segmentation by the Allen-Cahn equation. Applied Numerical Mathematics 51 (2004), pp. 187–205
Peer-reviewed Conference Contributions
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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
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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
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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
Preprints on arXiv.org
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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.
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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
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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
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V. Chalupecký, Ch. Eck, and H. Emmerich, A two-scale model for liquid phase epitaxy. Preprint 196, DFG SPP 1095 “Mehrskalenprobleme” (2006)
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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
Books and Book Chapters
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A. Muntean, V. Chalupecký, Homogenization method and multiscale modeling. MI Lecture Notes Series, Kyushu University, 2011
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L. Balykov, V. Chalupecký, Ch. Eck, H. Emmerich, G. Krishnamoorthy, A. Rätz, A. Voigt, Multiscale modeling of epitaxial growth: from discrete-continuum to continuum equations. In: A. Mielke (ed.): Analysis, Modeling and Simulation of Multiscale Problems, Springer (2006)
Proceedings Editor
- 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)
PhD Thesis
Vladimír Chalupecký, Non-linear diffusion PDEs and their application. Czech Technical University in Prague, 2008.