Rohan, E.; Lukeš, V. Homogenization of the acoustic transmission on periodically perforated plates interacting with potential mean flow. (English) Zbl 1526.35033 J. Comput. Appl. Math. 438, Article ID 115509, 18 p. (2024). MSC: 35B27 74F10 76M50 76Q05 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{V. Lukeš}, J. Comput. Appl. Math. 438, Article ID 115509, 18 p. (2024; Zbl 1526.35033) Full Text: DOI arXiv
Rohan, Eduard; Heczko, Jan Homogenization and numerical algorithms for two-scale modeling of porous media with self-contact in micropores. (English) Zbl 1520.74085 J. Comput. Appl. Math. 432, Article ID 115276, 19 p. (2023). MSC: 74S99 74F10 74Q99 74M15 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{J. Heczko}, J. Comput. Appl. Math. 432, Article ID 115276, 19 p. (2023; Zbl 1520.74085) Full Text: DOI arXiv
Rohan, Eduard; Lukeš, Vladimír Homogenization of peristaltic flows in piezoelectric porous media. arXiv:2304.05393 Preprint, arXiv:2304.05393 [math.AP] (2023). MSC: 35B27 74Q05 74F10 BibTeX Cite \textit{E. Rohan} and \textit{V. Lukeš}, ``Homogenization of peristaltic flows in piezoelectric porous media'', Preprint, arXiv:2304.05393 [math.AP] (2023) Full Text: arXiv OA License
Rohan, E.; Lukeš, V. Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators. (English) Zbl 1505.74185 Appl. Math. Modelling 111, 201-227 (2022). MSC: 74Q10 35B27 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{V. Lukeš}, Appl. Math. Modelling 111, 201--227 (2022; Zbl 1505.74185) Full Text: DOI arXiv
Lukeš, Vladimír; Rohan, Eduard Homogenization of large deforming fluid-saturated porous structures. (English) Zbl 1524.74432 Comput. Math. Appl. 110, 40-63 (2022). MSC: 74S05 74Q05 35B27 76S05 74F10 PDFBibTeX XMLCite \textit{V. Lukeš} and \textit{E. Rohan}, Comput. Math. Appl. 110, 40--63 (2022; Zbl 1524.74432) Full Text: DOI arXiv
Rohan, Eduard; Nguyen, Vu-Hieu; Naili, Salah Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities. (English) Zbl 1481.76226 Appl. Math. Modelling 91, 1-23 (2021). MSC: 76S05 76M50 PDFBibTeX XMLCite \textit{E. Rohan} et al., Appl. Math. Modelling 91, 1--23 (2021; Zbl 1481.76226) Full Text: DOI
Rohan, Eduard; Cimrman, Robert Modelling wave dispersion in fluid saturating periodic scaffolds. (English) Zbl 1510.76168 Appl. Math. Comput. 410, Article ID 126256, 29 p. (2021). MSC: 76S05 35Q30 35B27 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{R. Cimrman}, Appl. Math. Comput. 410, Article ID 126256, 29 p. (2021; Zbl 1510.76168) Full Text: DOI arXiv
Rohan, Eduard; Cimrman, Robert; Naili, Salah Modelling of acoustic waves in homogenized fluid-saturated deforming poroelastic periodic structures under permanent flow. (English) Zbl 1465.76094 J. Comput. Appl. Math. 394, Article ID 113536, 27 p. (2021). MSC: 76Q05 76S05 76M50 74F10 PDFBibTeX XMLCite \textit{E. Rohan} et al., J. Comput. Appl. Math. 394, Article ID 113536, 27 p. (2021; Zbl 1465.76094) Full Text: DOI
Rohan, Eduard; Naili, Salah Homogenization of the fluid-structure interaction in acoustics of porous media perfused by viscous fluid. (English) Zbl 1462.35046 Z. Angew. Math. Phys. 71, No. 4, Paper No. 137, 28 p. (2020). MSC: 35B27 74Q05 35Q30 35Q74 74Q10 76M50 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{S. Naili}, Z. Angew. Math. Phys. 71, No. 4, Paper No. 137, 28 p. (2020; Zbl 1462.35046) Full Text: DOI
Turjanicová, Jana; Rohan, Eduard; Lukeš, Vladimír Homogenization based two-scale modelling of ionic transport in fluid saturated deformable porous media. (English) Zbl 1443.76224 Comput. Math. Appl. 78, No. 9, 3211-3235 (2019). MSC: 76S05 76M50 76Z10 PDFBibTeX XMLCite \textit{J. Turjanicová} et al., Comput. Math. Appl. 78, No. 9, 3211--3235 (2019; Zbl 1443.76224) Full Text: DOI arXiv
Rohan, Eduard; Turjanicová, Jana; Lukeš, Vladimír The Biot-Darcy-Brinkman model of flow in deformable double porous media; homogenization and numerical modelling. (English) Zbl 1443.76220 Comput. Math. Appl. 78, No. 9, 3044-3066 (2019). MSC: 76S05 PDFBibTeX XMLCite \textit{E. Rohan} et al., Comput. Math. Appl. 78, No. 9, 3044--3066 (2019; Zbl 1443.76220) Full Text: DOI arXiv
Rohan, E.; Lukeš, V. Homogenization of the vibro-acoustic transmission on perforated plates. (English) Zbl 1428.76194 Appl. Math. Comput. 361, 821-845 (2019). MSC: 76Q05 74F10 35B27 74Q05 74K20 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{V. Lukeš}, Appl. Math. Comput. 361, 821--845 (2019; Zbl 1428.76194) Full Text: DOI arXiv
Rohan, Eduard; Naili, Salah; Nguyen, Vu-Hieu Modelling of waves in fluid-saturated porous media with high contrast heterogeneity: homogenization approach. (English) Zbl 07776927 ZAMM, Z. Angew. Math. Mech. 98, No. 9, 1699-1733 (2018). MSC: 35B27 35L05 35L51 74Q10 76S05 PDFBibTeX XMLCite \textit{E. Rohan} et al., ZAMM, Z. Angew. Math. Mech. 98, No. 9, 1699--1733 (2018; Zbl 07776927) Full Text: DOI
Rohan, Eduard; Miara, Bernadette Elastodynamics of strongly heterogeneous periodic plates using Reissner-Mindlin and Kirchhoff-love models. (English) Zbl 07775022 ZAMM, Z. Angew. Math. Mech. 96, No. 3, 304-326 (2016). MSC: 35B27 35G45 74K20 74Q10 35B45 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{B. Miara}, ZAMM, Z. Angew. Math. Mech. 96, No. 3, 304--326 (2016; Zbl 07775022) Full Text: DOI
Rohan, Eduard; Naili, Salah; Lemaire, Thibault Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem. (English) Zbl 1355.76068 Contin. Mech. Thermodyn. 28, No. 5, 1263-1293 (2016). MSC: 76S05 74Q10 74F10 PDFBibTeX XMLCite \textit{E. Rohan} et al., Contin. Mech. Thermodyn. 28, No. 5, 1263--1293 (2016; Zbl 1355.76068) Full Text: DOI
Rohan, E.; Lukeš, V. Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts. (English) Zbl 1410.74019 Appl. Math. Comput. 267, 583-595 (2015). MSC: 74F10 76S05 74Q10 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{V. Lukeš}, Appl. Math. Comput. 267, 583--595 (2015; Zbl 1410.74019) Full Text: DOI
Rohan, E.; Cimrman, R.; Miara, B. Modelling response of phononic Reissner-Mindlin plates using a spectral decomposition. (English) Zbl 1338.74082 Appl. Math. Comput. 258, 617-630 (2015). MSC: 74K20 74E30 PDFBibTeX XMLCite \textit{E. Rohan} et al., Appl. Math. Comput. 258, 617--630 (2015; Zbl 1338.74082) Full Text: DOI
Griso, Georges; Rohan, Eduard Homogenization of diffusion-deformation in dual-porous medium with discontinuity interfaces. (English) Zbl 1288.35390 Asymptotic Anal. 86, No. 2, 59-98 (2014). MSC: 35Q35 35B27 76S05 35B40 74F10 PDFBibTeX XMLCite \textit{G. Griso} and \textit{E. Rohan}, Asymptotic Anal. 86, No. 2, 59--98 (2014; Zbl 1288.35390) Full Text: DOI
Rohan, Eduard Homogenization of acoustic waves in strongly heterogeneous porous structures. (English) Zbl 1454.74065 Wave Motion 50, No. 7, 1073-1089 (2013). MSC: 74J05 74Q10 35Q74 35B27 74F10 76Q05 76S05 PDFBibTeX XMLCite \textit{E. Rohan}, Wave Motion 50, No. 7, 1073--1089 (2013; Zbl 1454.74065) Full Text: DOI
Mielke, Alexander; Rohan, Eduard Homogenization of elastic waves in fluid-saturated porous media using the Biot model. (English) Zbl 1311.35017 Math. Models Methods Appl. Sci. 23, No. 5, 873-916 (2013). Reviewer: Sebastien Boyabal (Chaville) MSC: 35B27 35L05 35L51 74Q10 76S05 PDFBibTeX XMLCite \textit{A. Mielke} and \textit{E. Rohan}, Math. Models Methods Appl. Sci. 23, No. 5, 873--916 (2013; Zbl 1311.35017) Full Text: DOI
Rohan, E.; Cimrman, R. Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media. (English) Zbl 1298.76071 Math. Comput. Simul. 82, No. 10, 1744-1772 (2012). MSC: 76D10 65M60 76S05 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{R. Cimrman}, Math. Comput. Simul. 82, No. 10, 1744--1772 (2012; Zbl 1298.76071) Full Text: DOI
Rohan, Eduard; Miara, Bernadette Band gaps and vibration of strongly heterogeneous Reissner-Mindlin elastic plates. (English. Abridged French version) Zbl 1225.35021 C. R., Math., Acad. Sci. Paris 349, No. 13-14, 777-781 (2011). MSC: 35B27 74K20 74H45 35L52 35L71 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{B. Miara}, C. R., Math., Acad. Sci. Paris 349, No. 13--14, 777--781 (2011; Zbl 1225.35021) Full Text: DOI
Rohan, E.; Lukeš, V. Homogenization of the acoustic transmission through a perforated layer. (English) Zbl 1407.76142 J. Comput. Appl. Math. 234, No. 6, 1876-1885 (2010). MSC: 76Q05 35B27 76M50 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{V. Lukeš}, J. Comput. Appl. Math. 234, No. 6, 1876--1885 (2010; Zbl 1407.76142) Full Text: DOI
Lukeš, Vladimír; Rohan, Eduard Microstructure based two-scale modelling of soft tissues. (English) Zbl 1193.92010 Math. Comput. Simul. 80, No. 6, 1289-1301 (2010). MSC: 92C10 74L15 65C20 PDFBibTeX XMLCite \textit{V. Lukeš} and \textit{E. Rohan}, Math. Comput. Simul. 80, No. 6, 1289--1301 (2010; Zbl 1193.92010) Full Text: DOI
Rohan, Eduard; Miara, Bernadette; Seifrt, František Numerical simulation of acoustic band gaps in homogenized elastic composites. (English) Zbl 1213.74310 Int. J. Eng. Sci. 47, No. 4, 573-594 (2009). MSC: 74S30 74E30 PDFBibTeX XMLCite \textit{E. Rohan} et al., Int. J. Eng. Sci. 47, No. 4, 573--594 (2009; Zbl 1213.74310) Full Text: DOI
Ávila, Andrés I.; Griso, G.; Miara, B.; Rohan, E. Multiscale modeling of elastic waves: Theoretical justification and numerical simulation of band gaps. (English) Zbl 1156.35311 Multiscale Model. Simul. 7, No. 1, 1-21 (2008). MSC: 35B27 74Q10 35B45 PDFBibTeX XMLCite \textit{A. I. Ávila} et al., Multiscale Model. Simul. 7, No. 1, 1--21 (2008; Zbl 1156.35311) Full Text: DOI Link
Griso, Georges; Rohan, Eduard On the homogenization of a diffusion-deformation problem in strongly heterogeneous media. (English) Zbl 1258.35017 Ric. Mat. 56, No. 2, 161-188 (2007). MSC: 35B27 76S05 74Q15 PDFBibTeX XMLCite \textit{G. Griso} and \textit{E. Rohan}, Ric. Mat. 56, No. 2, 161--188 (2007; Zbl 1258.35017) Full Text: DOI
Rohan, E.; Miara, B. Sensitivity analysis of acoustic wave propagation in strongly heterogeneous piezoelectric composite. (English) Zbl 1156.76052 Miara, Bernadette (ed.) et al., Topics on mathematics for smart systems. Proceedings of the European conference, Rome, Italy, October 26–28, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-392-7/hbk). 193-207 (2007). MSC: 76Q05 74F15 74M05 74Q05 PDFBibTeX XMLCite \textit{E. Rohan} and \textit{B. Miara}, in: Topics on mathematics for smart systems. Proceedings of the European conference, Rome, Italy, October 26--28, 2006. Hackensack, NJ: World Scientific. 193--207 (2007; Zbl 1156.76052)
Rohan, Eduard Modeling large-deformation-induced microflow in soft biological tissues. (English) Zbl 1113.76090 Theor. Comput. Fluid Dyn. 20, No. 4, 251-276 (2006). MSC: 76S05 76M50 PDFBibTeX XMLCite \textit{E. Rohan}, Theor. Comput. Fluid Dyn. 20, No. 4, 251--276 (2006; Zbl 1113.76090) Full Text: DOI
Miara, Bernadette; Rohan, Eduard; Zidi, Mustapha; Laba, Béatrice Piezomaterials for bone regeneration design – homogenization approach. (English) Zbl 1176.74125 J. Mech. Phys. Solids 53, No. 11, 2529-2556 (2005). MSC: 74L15 74F15 74Q05 92C10 PDFBibTeX XMLCite \textit{B. Miara} et al., J. Mech. Phys. Solids 53, No. 11, 2529--2556 (2005; Zbl 1176.74125) Full Text: DOI
Ghergu, Marius; Griso, Georges; Labat, Béatrice; Mechkour, Houari; Miara, Bernadette; Rohan, Eduard; Zidi, Mustapha Homogenization and piezoelectricity: toward the design of a biomaterial. (Homogénéisation et piézoélectricité. Aide á la conception d’un bio-matériau.) (French. English summary) Zbl 1199.35014 An. Univ. Craiova, Ser. Mat. Inf. 32, 9-15 (2005). MSC: 35B27 74L15 PDFBibTeX XMLCite \textit{M. Ghergu} et al., An. Univ. Craiova, Ser. Mat. Inf. 32, 9--15 (2005; Zbl 1199.35014)
Rohan, Eduard Homogenization of cellular structures for soft tissue modelling. (English) Zbl 1354.74240 PAMM, Proc. Appl. Math. Mech. 3, 60-63 (2003). MSC: 74Q10 74L15 PDFBibTeX XMLCite \textit{E. Rohan}, PAMM, Proc. Appl. Math. Mech. 3, 60--63 (2003; Zbl 1354.74240) Full Text: DOI
Rohan, Eduard Sensitivity strategies in modelling heterogeneous media undergoing finite deformation. (English) Zbl 1043.74038 Math. Comput. Simul. 61, No. 3-6, 261-270 (2003). MSC: 74Q05 74A05 PDFBibTeX XMLCite \textit{E. Rohan}, Math. Comput. Simul. 61, No. 3--6, 261--270 (2003; Zbl 1043.74038) Full Text: DOI