R. M Kirby, G. E. Karniadakis, ”Spectral element and hp methods.” Encyclopedia of Computational Mechanics,” eds. E. Stein, R. de Borst, T. Hughes, John Wiley & Sons, 2004.
G. E. Karniadakis, S. J. Sherwin, ”Spectral/hp Element Methods for CFD.” Oxford University Press, March 1999. (Note: first monograph in this field); Second ed. Oxford 2005.
I. Lomtev, R. M. Kirby, G. E. Karniadakis, ”A discontinuous Galerkin method in moving domains.” In Proc. of Discontinuous Galerkin Methods: Theory, Computation and Applications, eds. Cockburn et al., Springer-Verlag, NY, 1999.
I. Lomtev, R. M. Kirby, G. E. Karniadakis, ”DNS for flow past a 3D flexible wing.” eds. D. Knight and L. Sakell. Proc. of Second AFOSR Conference, Rutgers, Kluwer, June 7-9, 1999.
R. M. Kirby, T. C. Warburton, S. J. Sherwin, A. Beskok, G. E. Karniadakis, ‘‘The Nektar Code: Dynamic simulations without remeshing.” Proc. 2nd International Conference on Computational Technologies for Fluid/Thermal/Chemical Systems with Industrial Applications, August 1-5, 1999.
T. C. Warburton, I. Lomtev, R. M. Kirby, G. E. Karniadakis, ‘A discontinuous galerkin method for the Navier Stokes equations.” Proc. Tenth International Conference on Finite Elements in Fluids, p. 604, eds. M. Hafez, J.C. Heirich, Tucson, AZ, Jan. 5-8, 1998.
G. E. Karniadakis, R. D. Henderson, ”Spectral Element Methods for Incompressible Flows.” Chapter 29, Handbook of Fluid Dynamics, ed. R.W. Johnson, CRC Press, 1998.
T. C. Warburton, G. E. Karniadakis, ”Spectral simulations of flow past a cylinder close to a free surface.” FEDSM97-3689, ASME Fluids Engineering Division Summer Meeting, Vancouver, BC. 1997.
T. C. Warburton, S. J. Sherwin, G. E. Karniadakis, ”Hierarchical refinement using spectral/hp triangles and prisms.” Sixth Int. Symp. on CFD, Lake Tahoe, NV, Sept. 4-8, 1995
S. J. Sherwin, G. E. Karniadakis, ”Adaptive hp finite elements on unstructured meshes.” IX Int. Conf. on Finite Elements in Fluids: New Trends and Applications, Venice, IT, Oct. 15-21, 1995.
S. J. Sherwin, G. E. Karniadakis, ”Tetrahedral spectral elements for CFD.” Proc. 14th Int. Conf. Num. Meth. Fluid Dynamics, Bangalore, India, July 11-15, 1994.
J. Trujillo, G. E. Karniadakis, ”A spectral element velocity-vorticity algorithm for the incompressible Navier-Stokes equations.” Proc. 5th Int. Symp. on CFD, Sendai, Japan, 1993.
R. D. Henderson, G. E. Karniadakis, ”Unstructured spectral element methods for the incompressible Navier-Stokes equations.” Proc. Finite Elements in Fluids: New Trends and Applications,” eds. K. Morgan, E. Onate, J. Periaux, J. Peraire and O. C. Zienkewicz, Pineridge Press, 1993.
G. E. Karniadakis, S. A. Orszag, E. M. Ronquist, A. T. Patera, ”Spectral element and lattice gas methods for incompressible fluid dynamics.” Incompressible Fluid Dynamics, Ch. 8, eds. M. D. Gunzburger, R. A. Nicolaides, Cambridge University Press, 1993.
D. Pathria, G. E. Karniadakis, ”Dynamic generation of spectral element meshes through wavelet analysis.” USA-French Workshop on Wavelets and Turbulence, Princeton, 1991 (unpublished).
J. Giannakouros, D. Sidilkover, G. E. Karniadakis, ”Hybrid spectral element methods for hyperbolic systems of conservation laws.” Proc. Fourth Int. Conf. on Hyperb. Problems, Taormina, IT, April, 1992.
D. Sidilkover, J. Giannakouros, G. E. Karniadakis, ”Hybrid spectral element methods for hyperbolic conservation laws.” Proc. Ninth GAMM Conf. on Num. Meth. in Fluid Mech. Vieweg Verlag, 1991.
Y. Maday, A. T. Patera, G. E. Karniadakis, ”Spectral and finite element approximation for the unsteady incompressible Euler equations.” Notes aux Reudus de l’Academie des Sciences, Paris, France, 1987.
E. T. Bullister, G. E. Karniadakis, E. M. Ronquist, A. T. Patera, ”Solutions of the unsteady Navier-Stokes equations by spectral element methods.” Proc. 6th Int. Symp. on Finite Element Methods in Flow Problems, Antibes, France, 1986.
G. E. Karniadakis, E. T. Bullister, A. T. Patera, ”A spectral element method for solution of two- and three-dimensional time-dependent incompressible Navier-Stokes equations.” Proc. Europe-U.S. Conf. on Finite Element Methods for Nonlinear Problems, Springer-Verlag, p. 803, 1985.