-
1
-
-
15744385841
-
An “empirical interpolation” method: application to efficient reduced‐basis discretization of partial differential equations
-
1 M. Barrault, Y. Maday, N. C. Nguyen, and A. T. Patera, An “empirical interpolation” method: application to efficient reduced‐basis discretization of partial differential equations, C. R. Acad. Sci. Paris, Analyse Numerique, Serie I, 339, 2004, pp. 667–672.
-
(2004)
C. R. Acad. Sci.
, vol.339
, pp. 667-672
-
-
Barrault, M.1
Maday, Y.2
Nguyen, N.C.3
Patera, A.T.4
-
2
-
-
0003881705
-
Mixed and hybrid finite element methods
-
2 F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, Springer‐Verlag, New York, 1991.
-
(1991)
-
-
Brezzi, F.1
Fortin, M.2
-
3
-
-
85120590297
-
Flow optimization using sensitivities, Notes of School of Computational Science
-
3 J. Burkardt, Flow optimization using sensitivities, Notes of School of Computational Science, Florida State University, 2005.
-
(2005)
-
-
Burkardt, J.1
-
4
-
-
0024249068
-
Some fast 3D finite element solvers for the generalized Stokes problem
-
4 J. Cahouet and J. P. Chabard, Some fast 3D finite element solvers for the generalized Stokes problem, Int J Numer Methods Fluids 8 ( 1988), 869–895.
-
(1988)
Int J Numer Methods Fluids
, vol.8
, pp. 869-895
-
-
Cahouet, J.1
Chabard, J.P.2
-
5
-
-
33747875704
-
Spectral methods: evolution to complex geometries and applications to fluid dynamics
-
5 C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral methods: evolution to complex geometries and applications to fluid dynamics, Springer, Heildeberg, 2007.
-
(2007)
-
-
Canuto, C.1
Hussaini, M.Y.2
Quarteroni, A.3
Zang, T.A.4
-
6
-
-
85120591718
-
Nonlinear steady problem
-
6 G. P. Galdi, An introduction to the mathematical theory of the Navier‐Stokes equations, Volume II: Nonlinear steady problem, Springer‐Verlag, New York, 1994.
-
(1994)
, vol.II
-
-
Galdi, G.P.1
-
7
-
-
0003507785
-
Finite element methods for Navier–Stokes equations
-
7 V. Girault and P. A. Raviart, Finite element methods for Navier–Stokes equations, Springer‐Verlag, Berlin, 1986.
-
(1986)
-
-
Girault, V.1
Raviart, P.A.2
-
8
-
-
85120593819
-
Certified rapid solution of parametrized partial differential equations for real‐time applications, 2nd Sandia Workshop on PDE‐Constrained Optimization: Toward Real‐Time and Online PDE‐Constrained Optimization
-
8 M. Grepl, N. C. Nguyen, K. Veroy, A. T. Patera, and G. R. Liu, Certified rapid solution of parametrized partial differential equations for real‐time applications, 2nd Sandia Workshop on PDE‐Constrained Optimization: Toward Real‐Time and Online PDE‐Constrained Optimization, SIAM, to appear.
-
SIAM
-
-
Grepl, M.1
Nguyen, N.C.2
Veroy, K.3
Patera, A.T.4
Liu, G.R.5
-
9
-
-
0003433075
-
Incompressible flow and the finite elements method
-
9 P. M. Gresho and R. L. Sani, Incompressible flow and the finite elements method, John Wiley, New York, 2000.
-
(2000)
-
-
Gresho, P.M.1
Sani, R.L.2
-
10
-
-
0003453199
-
Finite element method for viscous incompressible flows: a guide to theory, practice, and algorithms
-
10 M. D. Gunzburger, Finite element method for viscous incompressible flows: a guide to theory, practice, and algorithms, Academic Press, Boston, 1989.
-
(1989)
-
-
Gunzburger, M.D.1
-
11
-
-
1542562895
-
Perspectives in flow control and optimization
-
11 M. D. Gunzburger, Perspectives in flow control and optimization, SIAM, Advances in Design and Control, Philadelphia, 2003.
-
(2003)
-
-
Gunzburger, M.D.1
-
12
-
-
0000104411
-
A reduced‐order method for simulation and control of fluid flow
-
12 K. Ito and S. S. Ravindran, A reduced‐order method for simulation and control of fluid flow, J Computat Phys 143 ( 1998), 403–425.
-
(1998)
J Computat Phys
, vol.143
, pp. 403-425
-
-
Ito, K.1
Ravindran, S.S.2
-
13
-
-
0035176135
-
Reduced order feedback synthesis for viscous incompressible flows
-
13 K. Ito and J. D. Schroeter, Reduced order feedback synthesis for viscous incompressible flows, Math Comput Modell 33 ( 2001), 173–192.
-
(2001)
Math Comput Modell
, vol.33
, pp. 173-192
-
-
Ito, K.1
Schroeter, J.D.2
-
14
-
-
85083314255
-
A reduced basis method for the steady Navier–Stokes problem, in “Reduced basis modelling of hierarchical flow system,”
-
14 A. E. Løvgren, Y. Maday, and E. M. Rønquist, A reduced basis method for the steady Navier–Stokes problem, in “Reduced basis modelling of hierarchical flow system,” PhD Thesis, Norwegian University of Science and Technology, 2006.
-
(2006)
-
-
Løvgren, A.E.1
Maday, Y.2
Rønquist, E.M.3
-
15
-
-
15744376916
-
Certified real‐time solution of parametrized partial differential equations
-
15 N. C. Nguyen, K. Veroy, and A. T. Patera, Certified real‐time solution of parametrized partial differential equations, R. Catlow, H. Shercliff, and S. Yip, editors, Handbook of materials modeling, Kluwer Academic, 2005.
-
(2005)
-
-
Nguyen, N.C.1
Veroy, K.2
Patera, A.T.3
-
16
-
-
0036348622
-
The influence of out‐of‐plane geometry on pulsatile flow within a distal end‐to‐side anastomosis
-
16 Y. Papaharilaou, D. J. Doorly, and S. J. Sherwin, The influence of out‐of‐plane geometry on pulsatile flow within a distal end‐to‐side anastomosis, J Biomech 35 ( 2002), 1225–1239.
-
(2002)
J Biomech
, vol.35
, pp. 1225-1239
-
-
Papaharilaou, Y.1
Doorly, D.J.2
Sherwin, S.J.3
-
17
-
-
0000166867
-
The reduced basis method for incompressible viscous flow calculations
-
17 J. S. Peterson, The reduced basis method for incompressible viscous flow calculations, SIAM J Sci Stat Comput 10 ( 1989), 777–786.
-
(1989)
SIAM J Sci Stat Comput
, vol.10
, pp. 777-786
-
-
Peterson, J.S.1
-
18
-
-
0003321083
-
Reliable real‐time solution of parametrized partial differential equations: reduced‐basis output bound methods
-
18 C. Prud'homme, D. Rovas, K. Veroy, Y. Maday, A. T. Patera, and G. Turinici, Reliable real‐time solution of parametrized partial differential equations: reduced‐basis output bound methods, J Fluids Eng 172 ( 2002), 70–80.
-
(2002)
J Fluids Eng
, vol.172
, pp. 70-80
-
-
Prud'homme, C.1
Rovas, D.2
Veroy, K.3
Maday, Y.4
Patera, A.T.5
Turinici, G.6
-
19
-
-
0036758042
-
Mathematical and computational framework for reliable real‐time solution of parametrized partial differential equations M2AN
-
19 C. Prud'homme, D. Rovas, K. Veroy, and A. T. Patera, Mathematical and computational framework for reliable real‐time solution of parametrized partial differential equations M 2 AN, Math Modell Numer Anal 36 ( 2002), 747–771.
-
(2002)
Math Modell Numer Anal
, vol.36
, pp. 747-771
-
-
Prud'homme, C.1
Rovas, D.2
Veroy, K.3
Patera, A.T.4
-
20
-
-
26844465054
-
Reduced‐basis output bounds for approximately parametrized elliptic coercive partial differential equations
-
20 C. Prud'homme and A. T. Patera, Reduced‐basis output bounds for approximately parametrized elliptic coercive partial differential equations, Comput Visualization Sci 6 ( 2004), 147–162.
-
(2004)
Comput Visualization Sci
, vol.6
, pp. 147-162
-
-
Prud'homme, C.1
Patera, A.T.2
-
21
-
-
0003430389
-
Numerical approximation of partial differential equations
-
21 A. Quarteroni and A. Valli, Numerical approximation of partial differential equations, Springer‐Verlag, Berlin, 1994.
-
(1994)
-
-
Quarteroni, A.1
Valli, A.2
-
23
-
-
15744388852
-
Reduced‐basis output bound methods for parametrized partial differencial equations
-
23 D. Rovas, Reduced‐basis output bound methods for parametrized partial differencial equations, PhD Thesis, MIT, Massachusetts Institute of Technology, February 2003.
-
(2003)
-
-
Rovas, D.1
-
24
-
-
33750956222
-
On the stability of reduced basis method for Stokes equations in parametrized domains
-
24 G. Rozza and K. Veroy, On the stability of reduced basis method for Stokes equations in parametrized domains, Comput Methods Appl Mech Eng 196 ( 2007), 1244–1260.
-
(2007)
Comput Methods Appl Mech Eng
, vol.196
, pp. 1244-1260
-
-
Rozza, G.1
Veroy, K.2
-
25
-
-
26844552516
-
Reduced basis methods for elliptic equations in sub‐domains with a posteriori error bounds and adaptivity
-
25 G. Rozza, Reduced basis methods for elliptic equations in sub‐domains with a posteriori error bounds and adaptivity, Appl Numer Math 55 ( 2005), 403–424.
-
(2005)
Appl Numer Math
, vol.55
, pp. 403-424
-
-
Rozza, G.1
-
26
-
-
16244378593
-
On optimization, control and shape design of an arterial bypass
-
26 G. Rozza, On optimization, control and shape design of an arterial bypass, Int J Numer Methods Fluids 47 ( 2005), 1411–1419.
-
(2005)
Int J Numer Methods Fluids
, vol.47
, pp. 1411-1419
-
-
Rozza, G.1
-
27
-
-
33747891768
-
Real time reduced basis techniques for arterial bypass geometries
-
27 G. Rozza, Real time reduced basis techniques for arterial bypass geometries, K. J. Bathe, editor, Computational fluid and solid mechanics, Elsevier, 2005, pp. 1283–1287.
-
(2005)
, pp. 1283-1287
-
-
Rozza, G.1
-
28
-
-
41549146238
-
Shape design by optimal flow control and reduced basis techniques: applications to bypass configurations in haemodynamics
-
28 G. Rozza, Shape design by optimal flow control and reduced basis techniques: applications to bypass configurations in haemodynamics, Ph.D. Thesis, EPFL, Ecole Polytechnique Fédérale de Lausanne, 2005.
-
(2005)
-
-
Rozza, G.1
-
29
-
-
58149482598
-
Reduced basis methods for Stokes equations in domains with non‐affine parameter dependence
-
29 G. Rozza, Reduced basis methods for Stokes equations in domains with non‐affine parameter dependence, Comput Visualization Sci, in press. DOI.10.1007/s00791‐006‐0044‐7.
-
Comput Visualization Sci
-
-
Rozza, G.1
-
30
-
-
84876024734
-
Flow dynamics within model distal arterial bypass graft
-
30 S. J. Sherwin and D. J. Doorly, Flow dynamics within model distal arterial bypass graft, Adv Fluid Mech 34 ( 2003), 327–374.
-
(2003)
Adv Fluid Mech
, vol.34
, pp. 327-374
-
-
Sherwin, S.J.1
Doorly, D.J.2
-
31
-
-
84915679656
-
On flow furrowed channels. Part 1. Calculated flow pattern
-
31 I. J. Sobey, On flow furrowed channels. Part 1. Calculated flow pattern, J Fluid Mech 96 ( 1980), 1–26.
-
(1980)
J Fluid Mech
, vol.96
, pp. 1-26
-
-
Sobey, I.J.1
-
32
-
-
0018911435
-
On flow through furrowed channels. Part 2. Observed flow patterns
-
32 K. D. Stephanoff, I. J. Sobey, and B. J. Bellhouse, On flow through furrowed channels. Part 2. Observed flow patterns, J Fluid Mech 96 ( 1980), 27–32.
-
(1980)
J Fluid Mech
, vol.96
, pp. 27-32
-
-
Stephanoff, K.D.1
Sobey, I.J.2
Bellhouse, B.J.3
-
33
-
-
0003887517
-
Navier–Stokes equations: theory and numerical analysis
-
33 R. Temam, Navier–Stokes equations: theory and numerical analysis, North‐Holland, Amsterdam, 1984.
-
(1984)
-
-
Temam, R.1
-
34
-
-
15744406041
-
Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
-
34 K. Veroy and A. T. Patera, Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds, Int J Numer Methods Fluids 47 ( 2005), 773–788.
-
(2005)
Int J Numer Methods Fluids
, vol.47
, pp. 773-788
-
-
Veroy, K.1
Patera, A.T.2
-
35
-
-
85120594452
-
Reduced‐basis approximation of the viscosity‐parametrized incompressible Navier–Stokes equation: rigorous a posteriori error bounds
-
35 K. Veroy and A. T. Patera, Reduced‐basis approximation of the viscosity‐parametrized incompressible Navier–Stokes equation: rigorous a posteriori error bounds, Proceedings Singapore‐MIT Alliance Symposium, January 2004.
-
(2004)
-
-
Veroy, K.1
Patera, A.T.2
|