A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
暂无分享,去创建一个
[1] Yvon Maday,et al. The Reduced Basis Element Method: Application to a Thermal Fin Problem , 2004, SIAM J. Sci. Comput..
[2] Alfio Quarteroni,et al. A modular lattice boltzmann solver for GPU computing processors , 2012 .
[3] Gianluigi Rozza. Shape design by optimal flow control and reduced basis techniques , 2005 .
[4] A. Quarteroni,et al. Numerical solution of parametrized Navier–Stokes equations by reduced basis methods , 2007 .
[5] Gianluigi Rozza,et al. Modeling of physiological flows , 2012 .
[6] Claudio Canuto,et al. Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation) , 2007 .
[7] J. Hesthaven,et al. Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations , 2007 .
[8] Einar M. Rønquist,et al. The Spectral Element Method Used to Assess the Quality of a Global C1 Map , 2011 .
[9] Anthony T. Patera,et al. A Static condensation Reduced Basis Element method: approximation and a posteriori error estimation , 2013 .
[10] Gianluigi Rozza,et al. Reduced basis method for multi-parameter-dependent steady Navier-Stokes equations: Applications to natural convection in a cavity , 2009, J. Comput. Phys..
[11] Simone Vantini,et al. Bagging Voronoi classifiers for clustering spatial functional data , 2013, Int. J. Appl. Earth Obs. Geoinformation.
[12] Jan S. Hesthaven,et al. A seamless reduced basis element method for 2D Maxwell"s problem: An introduction , 2011, CSE 2011.
[13] Gianluigi Rozza,et al. A Reduced Basis Model with Parametric Coupling for Fluid-Structure Interaction Problems , 2012, SIAM J. Sci. Comput..
[14] Yvon Maday,et al. A Reduced-Basis Element Method , 2002, J. Sci. Comput..
[15] Paola F. Antonietti,et al. Mimetic Discretizations of Elliptic Control Problems , 2013, J. Sci. Comput..
[16] Lourenço Beirão da Veiga,et al. Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems , 2013, SIAM J. Numer. Anal..
[17] G. Rozza,et al. Model reduction of semiaffinely parameterized partial differential equations by two-level affine approximation , 2011 .
[18] Gianluigi Rozza,et al. Reduced basis methods for Stokes equations in domains with non-affine parameter dependence , 2009 .
[19] A. Quarteroni,et al. Shape optimization for viscous flows by reduced basis methods and free‐form deformation , 2012 .
[20] Marcus J. Grote,et al. Nonreflecting boundary condition for time-dependent multiple scattering , 2007, J. Comput. Phys..
[21] Alfio Quarteroni,et al. Cardiovascular mathematics : modeling and simulation of the circulatory system , 2009 .
[22] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[23] A. Quarteroni,et al. Model reduction techniques for fast blood flow simulation in parametrized geometries , 2012, International journal for numerical methods in biomedical engineering.
[24] Gianluigi Rozza,et al. Shape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory , 2006, SIAM J. Numer. Anal..
[25] N. Nguyen,et al. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations , 2004 .
[26] G. Rozza,et al. On the stability of the reduced basis method for Stokes equations in parametrized domains , 2007 .
[27] Yvon Maday,et al. GLOBAL C1 MAPS ON GENERAL DOMAINS , 2009 .
[28] A. Patera,et al. Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds , 2005 .
[29] W. J. Gordon,et al. Transfinite element methods: Blending-function interpolation over arbitrary curved element domains , 1973 .
[30] L. Formaggia,et al. Mathematical modelling for the evolution of aeolian dunes formed by a mixture of sands: entrainment-deposition formulation , 2011 .
[31] A. Quarteroni,et al. OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES , 2003 .
[32] Yvon Maday,et al. A Reduced Basis Element Method for Complex Flow Systems , 2006 .
[33] G. Rozza,et al. Parametric free-form shape design with PDE models and reduced basis method , 2010 .
[34] Alfio Quarteroni,et al. Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows , 2011 .
[35] Simone Deparis,et al. Stabilized Reduced Basis Approximation of Incompressible Three-Dimensional Navier-Stokes Equations in Parametrized Deformed Domains , 2012, J. Sci. Comput..
[36] A. Quarteroni,et al. Numerical Approximation of Partial Differential Equations , 2008 .
[37] Simone Deparis,et al. Reduced Basis Error Bound Computation of Parameter-Dependent Navier-Stokes Equations by the Natural Norm Approach , 2008, SIAM J. Numer. Anal..
[38] Fabio Nobile,et al. Time accurate partitioned algorithms for the solution of fluid–structure interaction problems in haemodynamics , 2013 .
[39] A. Patera,et al. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations , 2007 .
[40] N. Nguyen,et al. REDUCED BASIS APPROXIMATION AND A POSTERIORI ERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS , 2011 .
[41] Alfio Quarteroni,et al. Numerical Approximation of Internal Discontinuity Interface Problems , 2013, SIAM J. Sci. Comput..
[42] Marcus J. Grote,et al. Local nonreflecting boundary condition for time-dependent multiple scattering , 2011, J. Comput. Phys..
[43] Nguyen Ngoc Cuong,et al. Certified Real-Time Solution of Parametrized Partial Differential Equations , 2005 .
[44] Yvon Maday,et al. The Reduced Basis Element Method: Offline-Online Decomposition in the Nonconforming, Nonaffine Case , 2011 .
[45] A. Quarteroni. Numerical Models for Differential Problems , 2009 .
[46] Barbara Kaltenbacher,et al. Analysis of Perfectly Matched Layer Technique for the Second Order Wave Equations in Time Domain , 2010 .
[47] Barry Smith,et al. Domain Decomposition Methods for Partial Differential Equations , 1997 .
[48] Yvon Maday,et al. A reduced basis element method for the steady stokes problem , 2006 .
[49] Gianluigi Rozza,et al. Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants , 2013, Numerische Mathematik.
[50] Gianluigi Rozza,et al. REDUCED BASIS METHODS AND A POSTERIORI ERROR ESTIMATORS FOR HEAT TRANSFER PROBLEMS , 2009 .
[51] Gianluigi Rozza,et al. Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization , 2012 .