Pironneau, Olivier Corrected nonconservative schemes. (English) Zbl 1116.35090 Chin. Ann. Math., Ser. B 27, No. 5, 539-548 (2006). MSC: 35L65 35A25 65N99 PDF BibTeX XML Cite \textit{O. Pironneau}, Chin. Ann. Math., Ser. B 27, No. 5, 539--548 (2006; Zbl 1116.35090) Full Text: DOI OpenURL
Bardos, Claude; Pironneau, Olivier A formalism for the differentiation of conservation laws. (English. Abridged French version) Zbl 1020.35052 C. R., Math., Acad. Sci. Paris 335, No. 10, 839-845 (2002). MSC: 35L65 35B30 35Q35 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{O. Pironneau}, C. R., Math., Acad. Sci. Paris 335, No. 10, 839--845 (2002; Zbl 1020.35052) Full Text: DOI OpenURL
Mohammadi, Bijan; Pironneau, Olivier Applied shape optimization for fluids. (English) Zbl 0970.76003 Numerical Mathematics and Scientific Computation. Oxford: Clarendon Press. xvi, 251 p. (2001). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76-02 76D55 76M10 65K10 PDF BibTeX XML Cite \textit{B. Mohammadi} and \textit{O. Pironneau}, Applied shape optimization for fluids. Oxford: Clarendon Press (2001; Zbl 0970.76003) OpenURL
Deshpande, Suresh; Pironneau, Olivier A kinetic Fourier scheme. (English. Abridged French version) Zbl 0842.76060 C. R. Acad. Sci., Paris, Sér. I 321, No. 8, 1011-1016 (1995). MSC: 76M25 76P05 76L05 PDF BibTeX XML Cite \textit{S. Deshpande} and \textit{O. Pironneau}, C. R. Acad. Sci., Paris, Sér. I 321, No. 8, 1011--1016 (1995; Zbl 0842.76060) OpenURL
Achdou, Yves; Pironneau, Olivier The \(\chi\)-method for the Navier-Stokes equations. (English) Zbl 0780.76017 IMA J. Numer. Anal. 13, No. 4, 537-558 (1993). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{Y. Achdou} and \textit{O. Pironneau}, IMA J. Numer. Anal. 13, No. 4, 537--558 (1993; Zbl 0780.76017) Full Text: DOI OpenURL
Pironneau, Olivier Optimal shape design with applications to aerodynamics. (English) Zbl 0765.76068 Shape optimization and free boundaries, Proc. NATO ASI, Sémin. Math. Supér., Montréal/Can. 1990, NATO ASI Ser., Ser. C 380, 211-251 (1992). MSC: 76M30 76M10 76B10 76N10 PDF BibTeX XML Cite \textit{O. Pironneau}, in: Shape optimization and free boundaries. Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, held Montréal, Canada, June 25-July 13, 1990. Dordrecht: Kluwer Academic Publishers. 211--251 (1992; Zbl 0765.76068) OpenURL
Achdou, Yves; Pironneau, Olivier The \(\chi\)-method for the Navier-Stokes equations. (English) Zbl 0736.76012 C. R. Acad. Sci., Paris, Sér. I 312, No. 13, 1005-1011 (1991). MSC: 76D05 35Q30 76M25 PDF BibTeX XML Cite \textit{Y. Achdou} and \textit{O. Pironneau}, C. R. Acad. Sci., Paris, Sér. I 312, No. 13, 1005--1011 (1991; Zbl 0736.76012) OpenURL
Pironneau, O. The finite element method for hyperbolic systems. (English) Zbl 0665.73059 Finite elements. Theory and application, Proc. ICASE Workshop, Hampton/VA 1986, 67-93 (1989). Reviewer: J.C.F.Telles MSC: 74S05 35L99 65N30 PDF BibTeX XML OpenURL
Pironneau, Olivier Finite element methods for the fluids. (Méthodes des éléments finis pour les fluides.) (French) Zbl 0748.76003 Recherches en Mathématiques Appliquées. 7. Paris etc.: Masson. 199 p. (1988). Reviewer: M.A.Boudourides (Xanthi) MSC: 76-01 76M10 76Dxx 76Bxx 76N10 76Rxx PDF BibTeX XML Cite \textit{O. Pironneau}, Méthodes des éléments finis pour les fluides. Paris etc.: Masson (1988; Zbl 0748.76003) OpenURL
El Dabaghi, Fadi; Pironneau, Olivier; Periaux, Jacques; Poirier, Gérard 2-D/3-D finite-element solution of the steady Euler equations for transonic lifting flow by stream vector correction. (English) Zbl 0645.76070 Int. J. Numer. Methods Fluids 7, 1191-1209 (1987). MSC: 76H05 76M99 PDF BibTeX XML Cite \textit{F. El Dabaghi} et al., Int. J. Numer. Methods Fluids 7, 1191--1209 (1987; Zbl 0645.76070) Full Text: DOI OpenURL
Chacon, T.; Pironneau, O. Solution of the 3-D stationary Euler equation by optimal control methods. (English) Zbl 0636.49012 Control problems for systems described by partial differential equations and applications, Proc. IFIP-WG 7.2 Work. Conf., Gainesville/Fla. 1986, Lect. Notes Control Inf. Sci. 97, 175-184 (1987). Reviewer: I.Bock MSC: 90C52 49M15 76H05 93C10 35L60 65K10 65N30 93B40 93C20 PDF BibTeX XML OpenURL
Chacon, T.; Pironneau, O. On the mathematical foundations of the k-\(\epsilon\) turbulent model. (English) Zbl 0618.76049 Vistas in applied mathematics. Numerical analysis, atmospheric sciences, immunology, dedic. G. I. Marchuk occas. 60th birthday, 44-56 (1986). Reviewer: J.Spicker MSC: 76F99 76D05 35Q30 PDF BibTeX XML OpenURL
Chacon, T.; Pironneau, O. Optimal control as a tool for solving the stationary Euler equation with periodic boundary conditions. (English) Zbl 0609.76059 System modelling and optimization, Proc. 12th IFIP Conf., Budapest/Hung. 1985, Lect. Notes Control Inf. Sci. 84, 170-176 (1986). MSC: 76F99 49K20 65K10 PDF BibTeX XML OpenURL
El Dabaghi, F.; Periaux, J.; Poirier, G.; Pironneau, O. Finite element solution of steady Euler transonic flow by stream vector correction. (English) Zbl 0606.76077 Numerical methods for fluid dynamics II, Proc. Conf., Reading/UK 1985, Inst. Math. Appl. Conf. Ser., New Ser. 7, 543-555 (1986). MSC: 76H05 76M99 PDF BibTeX XML OpenURL
McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R. Convection of microstructure and related problems. (English) Zbl 0622.76062 SIAM J. Appl. Math. 45, 780-797 (1985). Reviewer: E.S.Suhubi MSC: 76F99 76R99 76M99 35Q05 PDF BibTeX XML Cite \textit{D. W. McLaughlin} et al., SIAM J. Appl. Math. 45, 780--797 (1985; Zbl 0622.76062) Full Text: DOI Link OpenURL
Bègue, C.; Chacon, T.; McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. Convection of microstructures. II. (English) Zbl 0599.76068 Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 595-606 (1984). MSC: 76F05 35Q99 82C70 PDF BibTeX XML OpenURL
Bercovier, M.; Pironneau, O.; Sastri, V. Finite elements and characteristics for some parabolic-hyperbolic problems. (English) Zbl 0505.65055 Appl. Math. Modelling 7, 89-96 (1983). MSC: 65N30 65M25 35K20 35K60 76D05 35Q30 35Q05 76R99 PDF BibTeX XML Cite \textit{M. Bercovier} et al., Appl. Math. Modelling 7, 89--96 (1983; Zbl 0505.65055) Full Text: DOI OpenURL
McLaughlin, D.; Papanicolaou, G.; Pironneau, O. Convection of microstructure. (English) Zbl 0519.76046 Computing methods in applied sciences and engineering V, Proc. 5th int. Symp., Versailles 1981, 569-590 (1982). MSC: 76F05 82C70 35Q99 41A60 60K35 60K99 PDF BibTeX XML OpenURL
Pironneau, O. On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. (English) Zbl 0505.76100 Numer. Math. 38, 309-332 (1982). MSC: 76R99 76M99 65M15 65M25 65N30 35Q30 82C70 76D05 35Q05 PDF BibTeX XML Cite \textit{O. Pironneau}, Numer. Math. 38, 309--332 (1982; Zbl 0505.76100) Full Text: DOI EuDML OpenURL
Bardos, Claude; Bercovier, Michel; Pironneau, Olivier The vortex method with finite elements. (English) Zbl 0488.65049 Math. Comput. 36, 119-136 (1981). MSC: 65N30 65M25 65N35 76B47 35Q99 35L50 PDF BibTeX XML Cite \textit{C. Bardos} et al., Math. Comput. 36, 119--136 (1981; Zbl 0488.65049) Full Text: DOI OpenURL
Bardos, Claude; Bercovier, Michel; Pironneau, Olivier Approximation numérique des solutions de l’équation d’Euler en dimension 2. (French) Zbl 0448.65078 C. R. Acad. Sci., Paris, Sér. A 289, 829-832 (1979). MSC: 65Z05 65N30 35Q05 76B47 PDF BibTeX XML Cite \textit{C. Bardos} et al., C. R. Acad. Sci., Paris, Sér. A 289, 829--832 (1979; Zbl 0448.65078) OpenURL