Spectral Methods on Arbitrary Grids *

  title={Spectral Methods on Arbitrary Grids *},
  author={N C Mark and Holly Elizabeth Carpenter and David and Gottlieb},
Stable and spectrMly accurate numerical methods are constructed on arbitrary grids for partial differential equations. These new methods are equivalent to conventional spectral methods but do not rely on specific grid distributions. Specifically, we show how to implement Legendre Galerkin, Legendre collocation, and Laguerre Galerkin methodology on arbitrary grids. *Research supported by AFOSR grant no. 93-0090, ARPA grant no. N00014-91-:I-4016, and NSF grant no. DMS-9211820. The research was… CONTINUE READING

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Topics in spectral methods, Numerical Methods in Fluid Dynamics, lecture notes in math

  • E. Turkel, D. Gottlieb
  • 1985
Highly Influential
3 Excerpts

The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points, ICASE NASA-CR-191497

  • W. S. Don, D. Gottlieb
  • SIAM J. on Numerical Analysis
  • 1994
1 Excerpt

Multidomain spectralsolutionof the Euler gas-dynamicsequations

  • D. A. Kopriva
  • JCP 96,
  • 1991
1 Excerpt

A spectral multi-domain technique for viscous compressible reacting flows

  • M. Macaraeg, C. L. Streett
  • J. for Num. Meth. in Fluids
  • 1988

A spectral multidomain technique for viscous compressible reacting ows

  • C. L. Streett
  • J . for Num . Meth . in Fluids
  • 1988

An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry

  • K. Z. Korczak, A. T. Patera
  • JCP 62,
  • 1986
2 Excerpts

A Spectral Element Method for Fluid Dynamics: Laminar Flow in a Channel Expansion

  • A. T. Patera
  • JCP 54,468,
  • 1984
2 Excerpts

The ChebyshevLegendre method : Implementing Legendre methods on Chebyshev points

  • D. Gottlieb

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