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- X. Yang, D. Venturi, C. Chen, C. Chryssostomidis and G.E. Karniadakis, "EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound, Journal of Geophysical Research, 115, C12072, 2010.
- L. Grinberg, A. Yakhot and G.K. Karniadakis, "Analyzing transient
turbulence in a stenosed carotid artery by proper orthogonal decomposition,"
Annals of Biomedical Engineering, 37(11), 2200-2217, 2009.
- B. Yildirim, C. Chryssostomidis and G.E. Karniadakis, "Efficient sensor
placement for ocean measurements using low-dimensional concepts," Ocean Modeling,
273(3-4), 160-173, 2009.
- H. Gunes, S. Sirisup and G.E. Karniadakis, ''Gappy Data: To Krig or Not to Krig?'' 212, 358-382, 2006.
- S. Sirisup, D. Xiu, G. Karniadakis and X. Kevrekidis, ''Equation-free/Galerkin-free POD-assisted computation of incompressible flows, J. Comp. Phys., vol. 207, pp. 568-587, 2005.
- X. Wan and G.E. Karniadakis, ''An adaptive multi-element generalized polynomial chaos method for stochastic differential equations,'' J. Comp. Phys., vol. 209, pp. 617-642, 2005.
- S. Sirisup and G.E. Karniadakis, ''Stability and accuracy of periodic flow solutions obtained by a POD-penalty method,'' Physica D, vol. 202, pp. 218-237, 2005.
- D. Venturi and G.E. Karniadakis, ''Gappy data and reconstruction
procedures for flow past a cylinder,''J. Fluid Mech., vol. 519, pp. 315-336, 2004.
- S. Sirisup and G.E. Karniadakis,
''A spectral viscosity method for correcting the long-term behavior of POD models,'' J. Comp. Phys., 194, 92-116, 2004.
- S. Sirisup, G.E. Karniadakis , Y. Yang and D. Rockwell,
Wave-structure interaction: simulation driven by quantitative imaging,''
Proc. Royal Soc., vol. 460, issue 2042, 729-755, February 2004.
- X. Ma, G.E. Karniadakis, H. Park and M. Gharib,
''DPIV-driven simulation: A new computational paradigm,''
Proc. Royal Soc. A, 459, 547-565, 2003.
- X. Ma and G.E. Karniadakis, ''A low-dimensional model
for simulating 3D
cylinder flow", J. Fluid Mech., vol. 458, pp. 181-190, 2002.
- B. Pulvirenti, X. Ma and G.E. Karniadakis,
''A POD-based nonlinear Galerkin method for
flow-thermal problems,'' Proc. ECCOMAS, September 2001.
- X. Ma, G.-S. Karamanos and G.E. Karniadakis,
''Dynamics and low-dimensionality in the
turbulent near-wake,''
J. Fluid Mech., vol. 410, pp. 29-65, 2000.
- X. Ma, G.E. Karniadakis, G. Karamanos and S.J. Sherwin,
''Issues in LES of wake flows,'' AIAA 98-2893,
29th AIAA Fluid Dynamics Conference, Albuquerque, NM,
June 15-18, 1998.
- D.J. Newman and G.E. Karniadakis, ''Low-dimensional modeling
of flow-induced
vibrations via proper orthogonal decomposition,''
21st Symposium on Naval Hydrodynamics,
Norway, 1996.
- A.K. Bangia, P.F. Batcho, I.G. Kevrekidis and G.E. Karniadakis,
''Unsteady 2D flows in
complex geometries: Comparative bifurcation studies
with global eigenfunction expansions,''
SIAM J. Sci. Stat. Comp., vol. 18, p. 775, 1997.
- P. F. Batcho and G.E. Karniadakis,
''Generalized Stokes eigenfunctions: A new trial basis for
the incompressible Navier-Stokes equations,''
J. Comp. Phys., vol 115, p. 121, 1994.
- P.F. Batcho and G.E. Karniadakis, ''Global spectral methods
for the solution of
incompressible Navier-Stokes equations in complex geometries,''
Proc. 5th Int. Symp. on
CFD, Sendai, Japan, 1993.
- A.E. Deane, I.G. Kevrekidis, G.E. Karniadakis
and S.A. Orszag, ''Low-dimensional models
for complex geometry flows: Application to grooved channels
and circular cylinders,'' Phys.
Fluids, vol. 3(10), p. 2337, 1991.
Next: Fluid Mechanics
Up: pubs
Previous: High-Order Numerical Methods
George Karniadakis
2009-12-14