-
2
-
-
0000246863
-
Turbulence and the dynamics of coherent structures. Part I: Coherent structures
-
Sirovich L. Turbulence and the dynamics of coherent structures. Part I: Coherent structures. Quarterly of Applied Mathematics 1987, 45:561-571.
-
(1987)
Quarterly of Applied Mathematics
, vol.45
, pp. 561-571
-
-
Sirovich, L.1
-
3
-
-
85128553849
-
-
A domain decomposition approach to pod, in: Proceedings of the 45th IEEE Conference on Decision and Control
-
C.A. Beattie, J. Borggaard, S. Gugercin, T. Iliescu, A domain decomposition approach to pod, in: Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
-
(2006)
-
-
Beattie, C.A.1
Borggaard, J.2
Gugercin, S.3
Iliescu, T.4
-
4
-
-
47749108243
-
An interpolation method for adapting reduced-order models and application to aeroelasticity
-
Amsallem D., Farhat C. An interpolation method for adapting reduced-order models and application to aeroelasticity. AIAA Journal 2008, 46(7):1803-1813.
-
(2008)
AIAA Journal
, vol.46
, Issue.7
, pp. 1803-1813
-
-
Amsallem, D.1
Farhat, C.2
-
5
-
-
38349195074
-
Functions A best points interpolation method for efficient approximation of parametrized
-
Nguyen N.C., Patera A.T., Peraire J., functions A best points interpolation method for efficient approximation of parametrized International Journal for Numerical Methods in Engineering 2008, 73(4):521-543.
-
(2008)
International Journal for Numerical Methods in Engineering
, vol.73
, Issue.4
, pp. 521-543
-
-
Nguyen, N.C.1
Patera, A.T.2
Peraire, J.3
-
6
-
-
62549166192
-
Iterative methods for model reduction by domain decomposition
-
Buffoni M., Telib H., Iollo A. Iterative methods for model reduction by domain decomposition. Computers & Fluids 2009, 38(6):1160-1167.
-
(2009)
Computers & Fluids
, vol.38
, Issue.6
, pp. 1160-1167
-
-
Buffoni, M.1
Telib, H.2
Iollo, A.3
-
8
-
-
0031097279
-
A critique of mode acceleration and modal truncation augmentation methods for modal response analysis
-
Dickens J.M., Nakagawa J.M., Wittbrodt M.J. A critique of mode acceleration and modal truncation augmentation methods for modal response analysis. Computers and Structures 1997, 62(6):985-998.
-
(1997)
Computers and Structures
, vol.62
, Issue.6
, pp. 985-998
-
-
Dickens, J.M.1
Nakagawa, J.M.2
Wittbrodt, M.J.3
-
9
-
-
0037481177
-
Efficient model reduction in non-linear dynamics using the Karhunen-Loeve expansion and dual-weighted-residual methods
-
Meyer M., Matthies H.G. Efficient model reduction in non-linear dynamics using the Karhunen-Loeve expansion and dual-weighted-residual methods. Computational Mechanics 2003, 31(1):179-191.
-
(2003)
Computational Mechanics
, vol.31
, Issue.1
, pp. 179-191
-
-
Meyer, M.1
Matthies, H.G.2
-
13
-
-
0002420869
-
Vibrations of structural systems by component mode synthesis
-
Hurty W.C. Vibrations of structural systems by component mode synthesis. Journal of the Engineering Mechanics Division 1960, 86(4):51-70.
-
(1960)
Journal of the Engineering Mechanics Division
, vol.86
, Issue.4
, pp. 51-70
-
-
Hurty, W.C.1
-
14
-
-
0003321083
-
Reliable real-time solution of parametrized partial differential equations: reduced-basis output bound methods
-
Prud'homme C., Rovas D.V., Veroy K., Machiels L., Maday Y., Patera A.T., Turinici G. Reliable real-time solution of parametrized partial differential equations: reduced-basis output bound methods. Journal of Fluids Engineering 2002, 124(1):70-80.
-
(2002)
Journal of Fluids Engineering
, vol.124
, Issue.1
, pp. 70-80
-
-
Prud'homme, C.1
Rovas, D.V.2
Veroy, K.3
Machiels, L.4
Maday, Y.5
Patera, A.T.6
Turinici, G.7
-
15
-
-
15744385841
-
An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations
-
Barrault M., Maday Y., Nguyen N.C., Patera A.T. An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations. Comptes Rendus de Mathématiques 2004, 339(9):667-672.
-
(2004)
Comptes Rendus de Mathématiques
, vol.339
, Issue.9
, pp. 667-672
-
-
Barrault, M.1
Maday, Y.2
Nguyen, N.C.3
Patera, A.T.4
-
16
-
-
84866431342
-
Residual minimizing model interpolation for parameterized nonlinear dynamical systems
-
Constantine P.G., Wang Q. Residual minimizing model interpolation for parameterized nonlinear dynamical systems. SIAM Journal on Scientific Computing 2012, 34:118-144.
-
(2012)
SIAM Journal on Scientific Computing
, vol.34
, pp. 118-144
-
-
Constantine, P.G.1
Wang, Q.2
-
17
-
-
0000325341
-
On lines and planes of closest fit to systems of points in space
-
Pearson K. On lines and planes of closest fit to systems of points in space. Philosophical Magazine 1901, 2(6):559-572.
-
(1901)
Philosophical Magazine
, vol.2
, Issue.6
, pp. 559-572
-
-
Pearson, K.1
-
18
-
-
58149421595
-
Analysis of a complex of statistical variables into principal components
-
Hotelling H. Analysis of a complex of statistical variables into principal components. Journal of Educational Psychology 1933, 24:417-441.
-
(1933)
Journal of Educational Psychology
, vol.24
, pp. 417-441
-
-
Hotelling, H.1
-
20
-
-
78650679450
-
Multi-level a priori hyper-reduction of mechanical models involving internal variables
-
Ryckelynck D., Benziane D.M. Multi-level a priori hyper-reduction of mechanical models involving internal variables. Computer Methods in Applied Mechanics and Engineering 2010, 199(17-20):1134-1142.
-
(2010)
Computer Methods in Applied Mechanics and Engineering
, vol.199
, Issue.17-20
, pp. 1134-1142
-
-
Ryckelynck, D.1
Benziane, D.M.2
-
23
-
-
77951238456
-
A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
-
Nouy A. A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations. Computer Methods in Applied Mechanics and Engineering 2010, 199(23-24):1603-1626.
-
(2010)
Computer Methods in Applied Mechanics and Engineering
, vol.199
, Issue.23-24
, pp. 1603-1626
-
-
Nouy, A.1
-
24
-
-
33947145673
-
The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains
-
Yvonnet J., He Q.C. The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains. Journal of Computational Physics 2007, (1):341-368.
-
(2007)
Journal of Computational Physics
, Issue.1
, pp. 341-368
-
-
Yvonnet, J.1
He, Q.C.2
-
25
-
-
78650676597
-
Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems
-
Kerfriden P., Gosselet P., Adhikari S., Bordas S. Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. Computer Methods in Applied Mechanics and Engineering 2011, 200(5-8):850-866.
-
(2011)
Computer Methods in Applied Mechanics and Engineering
, vol.200
, Issue.5-8
, pp. 850-866
-
-
Kerfriden, P.1
Gosselet, P.2
Adhikari, S.3
Bordas, S.4
-
26
-
-
78650678740
-
A global model reduction approach for 3D fatigue crack growth with confined plasticity
-
Galland F., Gravouil A., Malvesin E., Rochette M. A global model reduction approach for 3D fatigue crack growth with confined plasticity. Computer Methods in Applied Mechanics and Engineering 2011, 200(5-8):699-716.
-
(2011)
Computer Methods in Applied Mechanics and Engineering
, vol.200
, Issue.5-8
, pp. 699-716
-
-
Galland, F.1
Gravouil, A.2
Malvesin, E.3
Rochette, M.4
-
27
-
-
3042642522
-
Partitioned component mode synthesis via a flexibility approach
-
Park K.C., Park Y.H. Partitioned component mode synthesis via a flexibility approach. AIAA 2004, 42(5).
-
(2004)
AIAA
, vol.42
, Issue.5
-
-
Park, K.C.1
Park, Y.H.2
-
28
-
-
84873275098
-
Christian Rickelt, Stefanie Reese, A simulation strategy for life time calculations of large, partially damaged structures,
-
III European Conference on, Computational Mechanics
-
Christian Rickelt, Stefanie Reese, A simulation strategy for life time calculations of large, partially damaged structures, in: III European Conference on, Computational Mechanics, 2006.
-
(2006)
-
-
-
31
-
-
84873252556
-
-
Alonso Dynamic domain decomposition and error correction for reduced order models, in: AIAA 41st Aerospace Sciences Meeting
-
P.A. LeGresley, J.J. Alonso, Dynamic domain decomposition and error correction for reduced order models, in: AIAA 41st Aerospace Sciences Meeting, 2003.
-
(2003)
-
-
LeGresley, J.J.P.A.1
-
33
-
-
0038693394
-
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics
-
Kunisch K., Volkwein S. Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. SIAM Journal on Numerical analysis 2003, 40(2):492-515.
-
(2003)
SIAM Journal on Numerical analysis
, vol.40
, Issue.2
, pp. 492-515
-
-
Kunisch, K.1
Volkwein, S.2
-
34
-
-
56549095007
-
Missing point estimation in models described by proper orthogonal decomposition
-
Astrid P., Weiland S., Willcox K., Backx A.C.P.M. Missing point estimation in models described by proper orthogonal decomposition. IEEE Transactions on Automatic Control 2008, 53(10):2237-2251.
-
(2008)
IEEE Transactions on Automatic Control
, vol.53
, Issue.10
, pp. 2237-2251
-
-
Astrid, P.1
Weiland, S.2
Willcox, K.3
Backx, A.C.P.M.4
-
35
-
-
77953021845
-
Model reduction by CPOD and Kriging
-
Xiao Manyu, Breitkopf Piotr, Filomeno Coelho Rajan, Knopf-Lenoir Catherine, Sidorkiewicz Maryan, Villon Pierre Model reduction by CPOD and Kriging. Structural and Multidisciplinary Optimization 2010, 41:555-574.
-
(2010)
Structural and Multidisciplinary Optimization
, vol.41
, pp. 555-574
-
-
Xiao, M.1
Breitkopf, P.2
Filomeno Coelho, R.3
Knopf-Lenoir, C.4
Sidorkiewicz, M.5
Villon, P.6
-
36
-
-
79952654642
-
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
-
Carlberg K., Bou-Mosleh C., Farhat C. Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations. International Journal for Numerical Methods in Engineering 2011, 86(2):155-181.
-
(2011)
International Journal for Numerical Methods in Engineering
, vol.86
, Issue.2
, pp. 155-181
-
-
Carlberg, K.1
Bou-Mosleh, C.2
Farhat, C.3
-
37
-
-
0026239487
-
A method of finite element tearing and interconnecting and its parallel solution algorithm
-
Farhat C., Roux F.X. A method of finite element tearing and interconnecting and its parallel solution algorithm. International Journal for Numerical Methods in Engineering 1991, 32:1205-1227.
-
(1991)
International Journal for Numerical Methods in Engineering
, vol.32
, pp. 1205-1227
-
-
Farhat, C.1
Roux, F.X.2
-
39
-
-
0028369940
-
Domain decomposition methods in computational mechanics
-
Elsevier
-
Le Tallec P. Domain decomposition methods in computational mechanics. Computational Mechanics Advances 1994, vol. 1. Elsevier.
-
(1994)
Computational Mechanics Advances
, vol.1
-
-
Le Tallec, P.1
-
41
-
-
34447526575
-
High-performance parallel simulation of structure degradation using non-local damage models
-
Germain N., Besson J., Feyel F., Gosselet P. High-performance parallel simulation of structure degradation using non-local damage models. International journal for numerical methods in engineering 2007, 71(3):253-276.
-
(2007)
International journal for numerical methods in engineering
, vol.71
, Issue.3
, pp. 253-276
-
-
Germain, N.1
Besson, J.2
Feyel, F.3
Gosselet, P.4
-
42
-
-
77956128819
-
On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework
-
Allix O., Kerfriden P., Gosselet P. On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework. International Journal for Numerical Methods in Engineering 2010, 10.1002/nme.2884.
-
(2010)
International Journal for Numerical Methods in Engineering
-
-
Allix, O.1
Kerfriden, P.2
Gosselet, P.3
-
43
-
-
79551622514
-
Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials
-
Lloberas-Valls O., Rixen D.J., Simone A., Sluys L.J. Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials. Computer Methods in Applied Mechanics and Engineering, 2011, 200:1577-1590.
-
(2011)
Computer Methods in Applied Mechanics and Engineering,
, vol.200
, pp. 1577-1590
-
-
Lloberas-Valls, O.1
Rixen, D.J.2
Simone, A.3
Sluys, L.J.4
-
44
-
-
35448930672
-
A multiscale extended finite element method for crack propagation
-
Guidault P.-A., Allix O., Champaney L., Cornuault S. A multiscale extended finite element method for crack propagation. Computer Methods in Applied Mechanics and Engineering 2008, 197(5):381-399.
-
(2008)
Computer Methods in Applied Mechanics and Engineering
, vol.197
, Issue.5
, pp. 381-399
-
-
Guidault, P.-A.1
Allix, O.2
Champaney, L.3
Cornuault, S.4
-
45
-
-
77951196297
-
A relocalization technique for the multiscale computation of delamination in composite structures
-
Allix O., Kerfriden P., Gosselet P. A relocalization technique for the multiscale computation of delamination in composite structures. Computer Modeling in Engineering and Sciences 2010, 55(3):271-291.
-
(2010)
Computer Modeling in Engineering and Sciences
, vol.55
, Issue.3
, pp. 271-291
-
-
Allix, O.1
Kerfriden, P.2
Gosselet, P.3
-
46
-
-
78549251697
-
Towards an adaptive POD/SVD surrogate model for aeronautic design
-
Jouhaud J.-C., Braconnier T., Ferrier M., Sagaut P. Towards an adaptive POD/SVD surrogate model for aeronautic design. Computers and Fluids 2011, 40(1):195-209.
-
(2011)
Computers and Fluids
, vol.40
, Issue.1
, pp. 195-209
-
-
Jouhaud, J.-C.1
Braconnier, T.2
Ferrier, M.3
Sagaut, P.4
-
47
-
-
84859959662
-
Certified reduced basis approximation for parametrized partial differential equations and applications
-
Quarteroni A., Rozza G., Manzoni A. Certified reduced basis approximation for parametrized partial differential equations and applications. Journal of Mathematics in Industry 2011, 1(3):1-44.
-
(2011)
Journal of Mathematics in Industry
, vol.1
, Issue.3
, pp. 1-44
-
-
Quarteroni, A.1
Rozza, G.2
Manzoni, A.3
-
48
-
-
6344220018
-
A quadratic method for nonlinear model order reduction
-
Proceeding of the International Conference on Modeling and Simulation of Microsystems
-
Y. Chen, J. White, A quadratic method for nonlinear model order reduction, in: Proceeding of the International Conference on Modeling and Simulation of Microsystems, 2000, pp. 470-480.
-
(2000)
, pp. 470-480
-
-
Chen, Y.1
White, J.2
-
49
-
-
0037322638
-
A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices
-
Rewienski M., White J. A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 2003, 22(2):155-170.
-
(2003)
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
, vol.22
, Issue.2
, pp. 155-170
-
-
Rewienski, M.1
White, J.2
-
50
-
-
46249094948
-
Real-time deformable models of non-linear tissues by model reduction techniques
-
Niroomandi S., Alfaro I., Cueto E., Chinesta F. Real-time deformable models of non-linear tissues by model reduction techniques. Computer Methods and Programs in Biomedicine 2008, 91(3):223-231.
-
(2008)
Computer Methods and Programs in Biomedicine
, vol.91
, Issue.3
, pp. 223-231
-
-
Niroomandi, S.1
Alfaro, I.2
Cueto, E.3
Chinesta, F.4
-
52
-
-
85088722743
-
Investigation of non-linear projection for POD based reduced order models for aerodynamics
-
LeGresley P.A., Alonso J.J. Investigation of non-linear projection for POD based reduced order models for aerodynamics. AIAA Paper 2001, 926:2001.
-
(2001)
AIAA Paper
, vol.926
, pp. 2001
-
-
LeGresley, P.A.1
Alonso, J.J.2
-
53
-
-
8744227253
-
A priori hyperreduction method: an adaptive approach
-
Ryckelynck D. A priori hyperreduction method: an adaptive approach. Journal of Computational Physics 2005, 202(1):346-366.
-
(2005)
Journal of Computational Physics
, vol.202
, Issue.1
, pp. 346-366
-
-
Ryckelynck, D.1
-
54
-
-
84873260146
-
-
Reduction of process simulation models - a proper orthogonal decomposition approach, Ph.D. report, Technical University of Eindhoven
-
P. Astrid, Reduction of process simulation models - a proper orthogonal decomposition approach, Ph.D. report, Technical University of Eindhoven, 2004.
-
(2004)
-
-
Astrid, P.1
-
56
-
-
79952009641
-
A robust adaptive model reduction method for damage simulations
-
Ryckelynck D., Missoum Benziane D., Cartel S., Besson J. A robust adaptive model reduction method for damage simulations. Computational Materials Science 2011, 50(5):1597-1605.
-
(2011)
Computational Materials Science
, vol.50
, Issue.5
, pp. 1597-1605
-
-
Ryckelynck, D.1
Missoum Benziane, D.2
Cartel, S.3
Besson, J.4
-
58
-
-
0000048673
-
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Saad Y., Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1986, 7(3):856-869.
-
(1986)
SIAM Journal on Scientific and Statistical Computing
, vol.7
, Issue.3
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
59
-
-
0000005482
-
BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
-
Van der Vorst H.A. BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1992, 13:631.
-
(1992)
SIAM Journal on Scientific and Statistical Computing
, vol.13
, pp. 631
-
-
Van der Vorst, H.A.1
-
62
-
-
0023526237
-
Cross-validation in principal component analysis
-
Krzanowski W.J. Cross-validation in principal component analysis. Biometrics 1987, 43(3):575-584.
-
(1987)
Biometrics
, vol.43
, Issue.3
, pp. 575-584
-
-
Krzanowski, W.J.1
-
63
-
-
84873246518
-
-
Statistical extraction of process zones and representative subspaces in fracture of random composites, International Journal for Multiscale Computational Engineering Available from:
-
P. Kerfriden, K.M. Schmidt, T. Rabczuk, S.P.A. Bordas, Statistical extraction of process zones and representative subspaces in fracture of random composites, International Journal for Multiscale Computational Engineering (2012). Available from: arxiv:1203.2487v2.
-
(2012)
-
-
Kerfriden, P.1
Schmidt, K.M.2
Rabczuk, T.3
Bordas, S.P.A.4
|