Real-time reduced basis techniques for Navier-Stokes equations: Optimization of parametrized bypass configurations
暂无分享,去创建一个
[1] A. Quarteroni,et al. OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES , 2003 .
[2] N. Nguyen,et al. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations , 2004 .
[3] Gianluigi Rozza,et al. Real time reduced basis techniques for arterial bypass geometries , 2005 .
[4] Gianluigi Rozza,et al. A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations , 2006, J. Sci. Comput..
[5] Jean E. Roberts,et al. Mixed and hybrid finite element methods , 1987 .
[6] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[7] D. Rovas,et al. Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods , 2002 .
[8] 柴田 良弘. 書評/G.P.Galdi:An Introduction to the Mathematical Theory of the Navier-Stokes Equations Volume 1:Linearized Steady Problem, Volume 2:Nonlinear Steady Problem , 1999 .
[9] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .
[10] A. Quarteroni,et al. Numerical Approximation of Partial Differential Equations , 2008 .
[11] Gianluigi Rozza. Shape design by optimal flow control and reduced basis techniques , 2005 .
[12] Gianluigi Rozza,et al. On optimization, control and shape design of an arterial bypass , 2005 .
[13] Gianluigi Rozza,et al. Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory , 2006, SIAM J. Numer. Anal..
[14] G. Rozza,et al. On the stability of the reduced basis method for Stokes equations in parametrized domains , 2007 .
[15] Gianluigi Rozza,et al. Reduced-basis methods for elliptic equations in sub-domains with a posteriori error bounds and adaptivity , 2005 .