A postprocessed Galerkin method with Chebyshev or Legendre polynomials |
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Authors: | Javier de Frutos Bosco García-Archilla Julia Novo |
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Institution: | (1) Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain, e-mail: {frutos,jnovo}@mac.cie.uva.es, ES;(2) Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain. e-mail: Bosco@ccuam3.sdi.uam.es, ES |
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Abstract: | Summary. We present an approximate-inertial-manifold-based postprocess to enhance Chebyshev or Legendre spectral Galerkin methods.
We prove that the postprocess improves the order of convergence of the Galerkin solution, yielding the same accuracy as the
nonlinear Galerkin method. Numerical experiments show that the new method is computationally more efficient than Galerkin
and nonlinear Galerkin methods. New approximation results for Chebyshev polynomials are presented.
Received January 5, 1998 / Revised version received September 7, 1999 / Published online June 8, 2000 |
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Keywords: | Mathematics Subject Classification (1991): 65M60 |
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