A postprocess based improvement of the spectral element method

DOI10.1016/S0168-9274(99)00086-0zbMath0971.65093OpenAlexW2059874690WikidataQ126470269 ScholiaQ126470269MaRDI QIDQ1973791

Julia Novo, Javier de Frutos

Publication date: 26 October 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00086-0

zbMATH Keywords

convergencespectral element methodnumerical experimentsdissipative equationsapproximate inertial manifolds

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis ⋮ An enhanced pseudospectral Chebyshev method for dissipative partial differential equations ⋮ Superconvergence of elliptic reconstructions of finite element solutions of parabolic problems in domains with piecewise smooth boundaries ⋮ Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations ⋮ A posteriori error estimates for fully discrete nonlinear parabolic problems ⋮ Postprocessing Fourier spectral methods: The case of smooth solutions ⋮ A posteriori error estimation with the \(p\)-version of the finite element method for nonlinear parabolic differential equations.

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