Abdallah, Zahraa; Gerbi, Stéphane; Kassem, Chiraz; Wehbe, Ali Stability for an interface transmission problem of wave-plate equations with dynamical boundary controls. (English) Zbl 1527.35170 Acta Appl. Math. 188, Paper No. 12, 38 p. (2023). MSC: 35L55 35B35 74J99 74K20 PDFBibTeX XMLCite \textit{Z. Abdallah} et al., Acta Appl. Math. 188, Paper No. 12, 38 p. (2023; Zbl 1527.35170) Full Text: DOI arXiv
Lteif, Ralph; Gerbi, Stéphane A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators. (English) Zbl 1510.76102 Appl. Math. Comput. 432, Article ID 127373, 30 p. (2022). MSC: 76M12 65M08 65M06 76B15 PDFBibTeX XMLCite \textit{R. Lteif} and \textit{S. Gerbi}, Appl. Math. Comput. 432, Article ID 127373, 30 p. (2022; Zbl 1510.76102) Full Text: DOI arXiv
Gerbi, Stéphane; Kassem, Chiraz; Wehbe, Ali Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic damping problem involving Bresse system. (English) Zbl 1486.35052 Z. Angew. Math. Phys. 73, No. 3, Paper No. 89, 32 p. (2022). MSC: 35B40 35D30 35L53 93C20 PDFBibTeX XMLCite \textit{S. Gerbi} et al., Z. Angew. Math. Phys. 73, No. 3, Paper No. 89, 32 p. (2022; Zbl 1486.35052) Full Text: DOI arXiv
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane Mathematical modeling and numerical analysis for the higher order Boussinesq system. (English) Zbl 1490.35327 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 593-615 (2022). MSC: 35Q35 35L45 35L60 76B25 76B45 76B55 35C07 35B40 35A01 35A02 65L99 PDFBibTeX XMLCite \textit{B. Khorbatly} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 593--615 (2022; Zbl 1490.35327) Full Text: DOI arXiv
Gerbi, Stéphane; Kassem, Chiraz; Mortada, Amina; Wehbe, Ali Numerical study of the stabilization of 1D locally coupled wave equations. (English) Zbl 1477.65133 Z. Anal. Anwend. 40, No. 2, 131-151 (2021). MSC: 65M06 65N06 65M12 35L10 35B40 49M25 93D15 93-08 PDFBibTeX XMLCite \textit{S. Gerbi} et al., Z. Anal. Anwend. 40, No. 2, 131--151 (2021; Zbl 1477.65133) Full Text: DOI arXiv
Gerbi, Stéphane; Kassem, Chiraz; Mortada, Amina; Wehbe, Ali Exact controllability and stabilization of locally coupled wave equations: theoretical results. (English) Zbl 1467.35216 Z. Anal. Anwend. 40, No. 1, 67-96 (2021). MSC: 35L53 35B40 93B05 93D15 PDFBibTeX XMLCite \textit{S. Gerbi} et al., Z. Anal. Anwend. 40, No. 1, 67--96 (2021; Zbl 1467.35216) Full Text: DOI arXiv
Azzolin, Luca; Dedè, Luca; Gerbi, Antonello; Quarteroni, Alfio Effect of fibre orientation and bulk modulus on the electromechanical modelling of human ventricles. (English) Zbl 1486.92013 Math. Eng. (Springfield) 2, No. 4, 614-638 (2020). MSC: 92C10 92C05 65M60 PDFBibTeX XMLCite \textit{L. Azzolin} et al., Math. Eng. (Springfield) 2, No. 4, 614--638 (2020; Zbl 1486.92013) Full Text: DOI
Ammari, Kaïs (ed.); Gerbi, Stéphane (ed.) Identification and control: some challenges. Summer school, Monastir, Tunisia, June 18–20, 2019. (English) Zbl 1454.35008 Contemporary Mathematics 757. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5547-7/pbk; 978-1-4704-5696-2/ebook). viii, 185 p. (2020). MSC: 35-06 93-06 35R30 35Q41 35K65 35P20 35R02 00B25 35Q93 PDFBibTeX XMLCite \textit{K. Ammari} (ed.) and \textit{S. Gerbi} (ed.), Identification and control: some challenges. Summer school, Monastir, Tunisia, June 18--20, 2019. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1454.35008) Full Text: DOI arXiv
Liu, Wenjun; Zhu, Biqing; Li, Gang Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions. (English) Zbl 1450.35082 Quaest. Math. 43, No. 8, 999-1017 (2020). MSC: 35B44 35L20 35L71 PDFBibTeX XMLCite \textit{W. Liu} et al., Quaest. Math. 43, No. 8, 999--1017 (2020; Zbl 1450.35082) Full Text: DOI
Dede’, L.; Gerbi, A.; Quarteroni, A. Segregated algorithms for the numerical simulation of cardiac electromechanics in the left human ventricle. (English) Zbl 1446.74210 Ambrosi, Davide (ed.) et al., The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the CIME course. Cham: Springer. Lect. Notes Math. 2260, 81-116 (2020). MSC: 74S05 74S20 74L15 74F15 92-08 92C10 PDFBibTeX XMLCite \textit{L. Dede'} et al., Lect. Notes Math. 2260, 81--116 (2020; Zbl 1446.74210) Full Text: DOI
Ambrosi, Davide (ed.); Ciarletta, Pasquale (ed.) [DeSimone, Antonio; Perthame, Benoît; Quarteroni, Alfio; Truskinovsky, Lev] The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the summer school. (English) Zbl 1446.00023 Lecture Notes in Mathematics 2260. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-030-45196-7/pbk; 978-3-030-45197-4/ebook). ix, 210 p. (2020). MSC: 00B25 92-06 74-06 74L15 92Cxx PDFBibTeX XMLCite \textit{D. Ambrosi} (ed.) and \textit{P. Ciarletta} (ed.), The mathematics of mechanobiology. Cetraro, Italy, August 27--31, 2018. Lecture notes given at the summer school. Cham: Springer; Florence: Fondazione CIME (2020; Zbl 1446.00023) Full Text: DOI
Gerbi, Antonello; Dedè, Luca; Quarteroni, Alfio A monolithic algorithm for the simulation of cardiac electromechanics in the human left ventricle. (English) Zbl 1442.92006 Math. Eng. (Springfield) 1, No. 1, 1-46 (2019). MSC: 92C10 92C30 35Q92 65M60 PDFBibTeX XMLCite \textit{A. Gerbi} et al., Math. Eng. (Springfield) 1, No. 1, 1--46 (2019; Zbl 1442.92006) Full Text: DOI
Demay, Charles; Bourdarias, Christian; de Meux, Benoît de Laage; Gerbi, Stéphane; Hérard, Jean-Marc A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model. (English) Zbl 1433.35263 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 405-442 (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 76T10 65M08 76M12 PDFBibTeX XMLCite \textit{C. Demay} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 2, 405--442 (2019; Zbl 1433.35263) Full Text: DOI HAL
Demay, Charles; Bourdarias, Christian; de Laage de Meux, Benoît; Gerbi, Stéphane; Hérard, Jean-Marc Numerical simulation of a compressible two-layer model: a first attempt with an implicit-explicit splitting scheme. (English) Zbl 1466.76002 J. Comput. Appl. Math. 346, 357-377 (2019). MSC: 76-10 76M12 76N15 76T10 PDFBibTeX XMLCite \textit{C. Demay} et al., J. Comput. Appl. Math. 346, 357--377 (2019; Zbl 1466.76002) Full Text: DOI HAL
Ammari, Kaĭs (ed.); Gerbi, Stéphane (ed.) Trends in control and inverse problems. (English) Zbl 1404.35002 AIMS Series on Differential Equations and Dynamical Systems 6. Springfield, MO: American Institute of Mathematical Sciences (ISBN 978-1-60133-021-5). viii, 119 p., open access (2018). MSC: 35-06 35Qxx 00A69 PDFBibTeX XMLCite \textit{K. Ammari} (ed.) and \textit{S. Gerbi} (ed.), Trends in control and inverse problems. Springfield, MO: American Institute of Mathematical Sciences (2018; Zbl 1404.35002) Full Text: Link
Ammari, Kaïs (ed.); Gerbi, Stéphane (ed.) Evolution equations. Long time behavior and control. Proceedings of the summer school, Université Savoie Mont Blanc, Chambéry, France, June 15–18, 2015. (English) Zbl 1414.35003 London Mathematical Society Lecture Note Series 439. Cambridge: Cambridge University Press (ISBN 978-1-108-41230-8/pbk; 978-1-108-33103-6/ebook). x, 194 p. (2018). MSC: 35-06 35K25 35Q35 93C20 00B25 PDFBibTeX XMLCite \textit{K. Ammari} (ed.) and \textit{S. Gerbi} (ed.), Evolution equations. Long time behavior and control. Proceedings of the summer school, Université Savoie Mont Blanc, Chambéry, France, June 15--18, 2015. Cambridge: Cambridge University Press (2018; Zbl 1414.35003) Full Text: DOI
Bourdarias, Christian; Gerbi, Stéphane; Lteif, Ralph A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves. (English) Zbl 1390.76400 Comput. Fluids 156, 283-304 (2017). MSC: 76M12 65M08 76B55 76M20 65M06 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Comput. Fluids 156, 283--304 (2017; Zbl 1390.76400) Full Text: DOI arXiv
Al Gerbi, A.; Jourdain, B.; Clément, E. Ninomiya-victoir scheme : multilevel Monte Carlo estimators and discretization of the involved ordinary differential equations. (English. French summary) Zbl 1384.65042 ESAIM, Proc. Surv. 59, 1-14 (2017). MSC: 65L05 65C05 65L20 34A34 65L70 65L06 PDFBibTeX XMLCite \textit{A. Al Gerbi} et al., ESAIM, Proc. Surv. 59, 1--14 (2017; Zbl 1384.65042) Full Text: DOI arXiv
Jeong, Jin-Mun; Park, Jong Yeoul; Kang, Yong Han Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions. (English) Zbl 1379.35173 Comput. Math. Appl. 73, No. 9, 1975-1986 (2017). MSC: 35L20 35L71 35B40 PDFBibTeX XMLCite \textit{J.-M. Jeong} et al., Comput. Math. Appl. 73, No. 9, 1975--1986 (2017; Zbl 1379.35173) Full Text: DOI
Ammari, Kaïs; Gerbi, Stéphane Interior feedback stabilization of wave equations with dynamic boundary delay. (English) Zbl 1383.35026 Z. Anal. Anwend. 36, No. 3, 297-327 (2017). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35B40 93D15 93D20 35L20 PDFBibTeX XMLCite \textit{K. Ammari} and \textit{S. Gerbi}, Z. Anal. Anwend. 36, No. 3, 297--327 (2017; Zbl 1383.35026) Full Text: DOI arXiv
Bourdarias, Christian; Gerbi, Stéphane; Lteif, Ralph A numerical scheme for the propagation of internal waves in an oceanographic model. (English) Zbl 1409.86001 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 200, 101-108 (2017). MSC: 86-08 65M08 76B55 76M12 86A05 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Springer Proc. Math. Stat. 200, 101--108 (2017; Zbl 1409.86001) Full Text: DOI
Demay, Charles; Bourdarias, Christian; de Laage de Meux, Benoît; Gerbi, Stéphane; Hérard, Jean-Marc A fractional step method to simulate mixed flows in pipes with a compressible two-layer model. (English) Zbl 1366.76070 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 33-41 (2017). MSC: 76M25 76Txx PDFBibTeX XMLCite \textit{C. Demay} et al., Springer Proc. Math. Stat. 200, 33--41 (2017; Zbl 1366.76070) Full Text: DOI HAL
Cancès, Clément (ed.); Omnes, Pascal (ed.) Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. (English) Zbl 1371.65001 Springer Proceedings in Mathematics & Statistics 200. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). xiii, 559 p. (2017). MSC: 65-06 65M08 65N08 00B25 PDFBibTeX XMLCite \textit{C. Cancès} (ed.) and \textit{P. Omnes} (ed.), Finite volumes for complex applications VIII -- hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12--16, 2017. Cham: Springer (2017; Zbl 1371.65001) Full Text: DOI
Vel, Senthil S.; Cook, Alden C.; Johnson, Scott E.; Gerbi, Christopher Computational homogenization and micromechanical analysis of textured polycrystalline materials. (English) Zbl 1439.74326 Comput. Methods Appl. Mech. Eng. 310, 749-779 (2016). MSC: 74Q05 74M25 PDFBibTeX XMLCite \textit{S. S. Vel} et al., Comput. Methods Appl. Mech. Eng. 310, 749--779 (2016; Zbl 1439.74326) Full Text: DOI
Ferhat, Mohamed; Hakem, Ali Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term. (English) Zbl 1359.35110 Comput. Math. Appl. 71, No. 3, 779-804 (2016). MSC: 35L05 35L76 35A01 35B40 35A35 PDFBibTeX XMLCite \textit{M. Ferhat} and \textit{A. Hakem}, Comput. Math. Appl. 71, No. 3, 779--804 (2016; Zbl 1359.35110) Full Text: DOI
Al Gerbi, Anis; Jourdain, Benjamin; Clément, Emmanuelle Ninomiya-Victoir scheme: strong convergence, antithetic version and application to multilevel estimators. (English) Zbl 1344.65013 Monte Carlo Methods Appl. 22, No. 3, 197-228 (2016). MSC: 65C30 60H35 65C05 PDFBibTeX XMLCite \textit{A. Al Gerbi} et al., Monte Carlo Methods Appl. 22, No. 3, 197--228 (2016; Zbl 1344.65013) Full Text: DOI arXiv
Li, Gang; Zhu, Biqing; Wang, Danhua On blow-up of solutions for a semilinear damped wave equation with nonlinear dynamic boundary conditions. (English) Zbl 1337.35016 J. Comput. Anal. Appl. 21, No. 4, 777-783 (2016). MSC: 35B44 35L20 35L71 PDFBibTeX XMLCite \textit{G. Li} et al., J. Comput. Anal. Appl. 21, No. 4, 777--783 (2016; Zbl 1337.35016)
Gerbi, Anis Al; Jourdain, Benjamin; Clément, Emmanuelle Asymptotic error distribution for the Ninomiya-Victoir scheme in the commutative case. arXiv:1605.08270 Preprint, arXiv:1605.08270 [math.PR] (2016). BibTeX Cite \textit{A. A. Gerbi} et al., ``Asymptotic error distribution for the Ninomiya-Victoir scheme in the commutative case'', Preprint, arXiv:1605.08270 [math.PR] (2016) Full Text: arXiv OA License
Gerbi, Anis Al; Jourdain, Benjamin; Clément, Emmanuelle Asymptotics for the normalized error of the Ninomiya-Victoir scheme. arXiv:1601.05268 Preprint, arXiv:1601.05268 [math.PR] (2016). BibTeX Cite \textit{A. A. Gerbi} et al., ``Asymptotics for the normalized error of the Ninomiya-Victoir scheme'', Preprint, arXiv:1601.05268 [math.PR] (2016) Full Text: arXiv OA License
Jeong, Jin-Mun; Park, Jong Yeoul; Kang, Yong Han Energy decay rates for viscoelastic wave equation with dynamic boundary conditions. (English) Zbl 1329.35061 J. Comput. Anal. Appl. 19, No. 3, 500-517 (2015). MSC: 35B40 35L35 35L76 74D10 74J05 PDFBibTeX XMLCite \textit{J.-M. Jeong} et al., J. Comput. Anal. Appl. 19, No. 3, 500--517 (2015; Zbl 1329.35061)
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane Unsteady mixed flows in non uniform closed water pipes: a full kinetic approach. (English) Zbl 1298.76033 Numer. Math. 128, No. 2, 217-263 (2014). MSC: 76B07 76M12 76M28 76N15 65M08 65M75 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Numer. Math. 128, No. 2, 217--263 (2014; Zbl 1298.76033) Full Text: DOI arXiv Link
Bourdarias, Christian (ed.); Gerbi, Stéphane (ed.) Applied mathematics in Savoie – AMIS 2012: Multiphase flow in industrial and environmental engineering. Proceedings of the workshop, Chambéry, France, June 19–22, 2012. (English) Zbl 1325.76015 ESAIM, Proc. 40, i, 143 p. (2013). MSC: 76-06 76Exx 00A69 00B25 PDFBibTeX XML Full Text: Link
Gerbi, Stéphane; Said-Houari, Belkacem Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions. (English) Zbl 1273.35175 Adv. Nonlinear Anal. 2, No. 2, 163-193 (2013). MSC: 35L05 35L20 65M60 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Adv. Nonlinear Anal. 2, No. 2, 163--193 (2013; Zbl 1273.35175) Full Text: DOI arXiv
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane Air entrainment in transient flows in closed water pipes: a two-layer approach. (English) Zbl 1267.76009 ESAIM, Math. Model. Numer. Anal. 47, No. 2, 507-538 (2013). MSC: 76B03 76N15 76S05 76T99 74F10 74S10 35L60 74G15 35Q35 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 2, 507--538 (2013; Zbl 1267.76009) Full Text: DOI arXiv
Gerbi, Stéphane; Said-Houari, Belkacem Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term. (English) Zbl 1278.35147 Appl. Math. Comput. 218, No. 24, 11900-11910 (2012). MSC: 35L35 35A01 35B35 35R10 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Appl. Math. Comput. 218, No. 24, 11900--11910 (2012; Zbl 1278.35147) Full Text: DOI arXiv
Gerbi, Stéphane; Said-Houari, Belkacem Exponential decay for solutions to semilinear damped wave equation. (English) Zbl 1246.35036 Discrete Contin. Dyn. Syst., Ser. S 5, No. 3, 559-566 (2012). Reviewer: Marie Kopáčková (Praha) MSC: 35B40 35L71 35L20 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 3, 559--566 (2012; Zbl 1246.35036) Full Text: DOI
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A mathematical model for unsteady mixed flows in closed water pipes. (English) Zbl 1387.35484 Sci. China, Math. 55, No. 2, 221-244 (2012). MSC: 35Q35 35B35 35B40 76B15 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Sci. China, Math. 55, No. 2, 221--244 (2012; Zbl 1387.35484) Full Text: DOI arXiv Link
Gerbi, S.; Said-Houari, B. Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions. (English) Zbl 1228.35150 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7137-7150 (2011). MSC: 35L71 35B44 35B35 35L20 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7137--7150 (2011; Zbl 1228.35150) Full Text: DOI arXiv
Bourdarias, C.; Ersoy, M.; Gerbi, S. A kinetic scheme for transient mixed flows in non uniform closed pipes: A global manner to upwind all the source terms. (English) Zbl 1457.76105 J. Sci. Comput. 48, No. 1-3, 89-104 (2011). MSC: 76M12 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., J. Sci. Comput. 48, No. 1--3, 89--104 (2011; Zbl 1457.76105) Full Text: DOI arXiv Link
Bourdarias, C.; Gerbi, S. A kinetic scheme for unsteady pressurised flows in closed water pipes. (English) Zbl 1402.76098 J. Comput. Appl. Math. 234, No. 7, 2098-2105 (2010). MSC: 76M28 65M75 PDFBibTeX XMLCite \textit{C. Bourdarias} and \textit{S. Gerbi}, J. Comput. Appl. Math. 234, No. 7, 2098--2105 (2010; Zbl 1402.76098) Full Text: DOI arXiv
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme. (English) Zbl 1490.76143 Int. J. Finite Vol. 6, No. 2, Article ID hal-00342745, 47 p. (2009). MSC: 76M12 76B07 76B15 65M08 65M12 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Int. J. Finite Vol. 6, No. 2, Article ID hal-00342745, 47 p. (2009; Zbl 1490.76143) Full Text: arXiv HAL
Bourdarias, C.; Ersoy, M.; Gerbi, S. A kinetic scheme for pressurised flows in non-uniform closed water pipes. (English) Zbl 1325.76126 Díaz, Jesús Ildefonso (ed.) et al., Maths and water. Selected papers based on the presentations at the international congress on mathematics and water, Zaragoza, Spain, May 19–21, 2008. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 31, 1-20 (2009). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., in: Maths and water. Selected papers based on the presentations at the international congress on mathematics and water, Zaragoza, Spain, May 19--21, 2008. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. 1--20 (2009; Zbl 1325.76126) Full Text: arXiv
Díaz, Jesús Ildefonso (ed.); Elipe, Antonio (ed.); Quarteroni, Alfio (ed.); Rández, Luis (ed.) Maths and water. Selected papers based on the presentations at the international congress on mathematics and water, Zaragoza, Spain, May 19–21, 2008. (English) Zbl 1179.76010 Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 31. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. xx, 236 p. (2009). MSC: 76-06 76B25 35Q51 00B25 PDFBibTeX XMLCite \textit{J. I. Díaz} (ed.) et al., Maths and water. Selected papers based on the presentations at the international congress on mathematics and water, Zaragoza, Spain, May 19--21, 2008. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza (2009; Zbl 1179.76010) Full Text: Link
Bourdarias, Christian; Gerbi, Stéphane; Ohayon, Jacques A pseudo active kinematic constraint for a biological living soft tissue: an effect of the collagen network. (English) Zbl 1171.65440 Math. Comput. Modelling 49, No. 11-12, 2170-2181 (2009). MSC: 65N30 92C30 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Math. Comput. Modelling 49, No. 11--12, 2170--2181 (2009; Zbl 1171.65440) Full Text: DOI arXiv
Bourdarias, C.; Gerbi, S. A conservative model for unsteady flows in deformable closed pipes and its implicit second-order finite volume discretisation. (English) Zbl 1237.76081 Comput. Fluids 37, No. 10, 1225-1237 (2008). MSC: 76M12 76N15 74F10 PDFBibTeX XMLCite \textit{C. Bourdarias} and \textit{S. Gerbi}, Comput. Fluids 37, No. 10, 1225--1237 (2008; Zbl 1237.76081) Full Text: DOI
Gerbi, Stéphane; Said-Houari, Belkacem Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions. (English) Zbl 1183.35035 Adv. Differ. Equ. 13, No. 11-12, 1051-1074 (2008). MSC: 35B40 35L71 35L20 PDFBibTeX XMLCite \textit{S. Gerbi} and \textit{B. Said-Houari}, Adv. Differ. Equ. 13, No. 11--12, 1051--1074 (2008; Zbl 1183.35035) Full Text: arXiv
Bourdarias, C.; Gerbi, S.; Gisclon, M. A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes. (English) Zbl 1152.76020 J. Comput. Appl. Math. 218, No. 2, 522-531 (2008). MSC: 76B99 76M30 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., J. Comput. Appl. Math. 218, No. 2, 522--531 (2008; Zbl 1152.76020) Full Text: DOI
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A kinetic scheme for pressurized flows in non uniform pipes. arXiv:0812.0105 Preprint, arXiv:0812.0105 [math.AP] (2008). BibTeX Cite \textit{C. Bourdarias} et al., ``A kinetic scheme for pressurized flows in non uniform pipes'', Preprint, arXiv:0812.0105 [math.AP] (2008) Full Text: arXiv OA License
Bourdarias, C.; Gerbi, S. A finite volume scheme for a model coupling free surface and pressurised flows in pipes. (English) Zbl 1135.76036 J. Comput. Appl. Math. 209, No. 1, 109-131 (2007). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{C. Bourdarias} and \textit{S. Gerbi}, J. Comput. Appl. Math. 209, No. 1, 109--131 (2007; Zbl 1135.76036) Full Text: DOI
Bourdarias, Christian; Gerbi, Stéphane; Ohayon, Jacques A three-dimensional finite element method for biological active soft tissue. Formulation in cylindrical polar coordinates. (English) Zbl 1070.74045 M2AN, Math. Model. Numer. Anal. 37, No. 4, 725-739 (2003). MSC: 74S05 74L15 92-08 92C10 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., M2AN, Math. Model. Numer. Anal. 37, No. 4, 725--739 (2003; Zbl 1070.74045) Full Text: DOI Numdam EuDML
Bourdarias, C.; Gerbi, S. An implicit finite volume scheme for unsteady flows in deformable pipelines. (English) Zbl 1177.76212 Herbin, Raphaéle (ed.) et al., Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 463-470 (2002). MSC: 76M12 PDFBibTeX XMLCite \textit{C. Bourdarias} and \textit{S. Gerbi}, in: Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science. 463--470 (2002; Zbl 1177.76212)
Herbin, Raphaéle (ed.); Kröner, Dietmar (ed.) Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24–28, 2002. (English) Zbl 1049.65002 London: Hermes Penton Science (ISBN 1-9039-9634-1/pbk). 848 p. (2002). MSC: 65-06 00B25 76-06 PDFBibTeX XMLCite \textit{R. Herbin} (ed.) and \textit{D. Kröner} (ed.), Finite volumes for complex applications III. Problems and perspectives. Papers from the 3rd symposium of finite volumes for complex applications, Porquerolles, France, June 24--28, 2002. London: Hermes Penton Science (2002; Zbl 1049.65002)
Cautrés, R.; Gallouët, T.; Gerbi, S.; Herbin, R. A Neumann-Neumann method using finite volume discretization. (English) Zbl 1026.65124 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9-12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). Theory Eng. Appl. Comput. Methods. 207-214 (2002). MSC: 65N55 65N30 35J05 PDFBibTeX XMLCite \textit{R. Cautrés} et al., in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 207--214 (2002; Zbl 1026.65124)
Bourdarias, C.; Gerbi, S.; Oddou, C.; Ohayon, J. A three dimensional finite element method for a biological active soft tissue. (English) Zbl 1008.92005 ESAIM, Proc. 12, 8-11 (2002). MSC: 92C10 74S05 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., ESAIM, Proc. 12, 8--11 (2002; Zbl 1008.92005) Full Text: DOI
Debit, N. (ed.); Garbey, M. (ed.); Hoppe, R. (ed.); Keyes, D. (ed.); Kuznetsov, Y. (ed.); Périaux, J. (ed.) Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9–12, 2000. (English) Zbl 1011.00036 Theory and Engineering Applications of Computational Methods. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). xvi, 511 p. (2002). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{N. Debit} (ed.) et al., Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE) (2002; Zbl 1011.00036)
Galaktionov, Victor A.; Gerbi, Stéphane; Vazquez, Juan L. Quenching for a one-dimensional fully nonlinear parabolic equation in detonation theory. (English) Zbl 0982.35008 SIAM J. Appl. Math. 61, No. 4, 1253-1285 (2000). Reviewer: C.Y.Chan (Lafayette) MSC: 35B05 35K55 35K65 35K60 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., SIAM J. Appl. Math. 61, No. 4, 1253--1285 (2000; Zbl 0982.35008) Full Text: DOI
Gerbi, Stéphane; Herbin, Raphaèle; Marchand, Emmanuelle Existence of a solution to a coupled elliptic system with a Signorini condition. (English) Zbl 0959.35047 Adv. Differ. Equ. 4, No. 2, 225-250 (1999). Reviewer: René Sperb (Zürich) MSC: 35J45 35B45 47H10 35J65 PDFBibTeX XMLCite \textit{S. Gerbi} et al., Adv. Differ. Equ. 4, No. 2, 225--250 (1999; Zbl 0959.35047)
Brauner, C. M.; Gerbi, S.; Schmidt-Laine, C. A stability analysis for a fully nonlinear parabolic problem in detonation theory. (English) Zbl 0836.34063 Appl. Anal. 56, No. 3-4, 351-380 (1995). Reviewer: J.Diblík (Brno) MSC: 34G20 34K20 35B35 35K55 35Q35 PDFBibTeX XMLCite \textit{C. M. Brauner} et al., Appl. Anal. 56, No. 3--4, 351--380 (1995; Zbl 0836.34063) Full Text: DOI
Claus, G.; Gerbi, S. An asymptotic model for a detonation in ducts. (English) Zbl 0766.35065 Computational and applied mathematics, II: Differential equations, Sel. Rev. Pap. IMACS 13th World Congr., Dublin/Irel. 1991, 127-130 (1992). MSC: 35Q80 80A25 92E20 PDFBibTeX XMLCite \textit{G. Claus} and \textit{S. Gerbi}, in: Computational and applied mathematics, II: Differential equations. Selected and revised papers from the IMACS 13th world congress, Dublin, Ireland, July 1991. Amsterdam: North-Holland. 127--130 (1992; Zbl 0766.35065)
Ames, W. F. (ed.); Van der Houwen, P. J. (ed.) Computational and applied mathematics, II: Differential equations. Selected and revised papers from the IMACS 13th world congress, Dublin, Ireland, July 1991. (English) Zbl 0754.00007 Amsterdam: North-Holland. x, 373 p. (1992). MSC: 00B25 34-06 65-06 PDFBibTeX XMLCite \textit{W. F. Ames} (ed.) and \textit{P. J. Van der Houwen} (ed.), Computational and applied mathematics, II: Differential equations. Selected and revised papers from the IMACS 13th world congress, Dublin, Ireland, July 1991. Amsterdam: North-Holland (1992; Zbl 0754.00007)
Herbin, Raphaele; Gerbi, Stephane; Sonnad, Vijay Parallel implementation of a multigrid method on the experimental lCAP supercomputer. (English) Zbl 0654.65077 Appl. Math. Comput. 27, No. 4, 281-312 (1988). Reviewer: P.Onumanyi MSC: 65N22 65Y05 65F05 35J25 PDFBibTeX XMLCite \textit{R. Herbin} et al., Appl. Math. Comput. 27, No. 4, 281--312 (1988; Zbl 0654.65077) Full Text: DOI