Least‐squares spectral collocation method for the Stokes equations
Copyright policy )Least‐squares spectral collocation method for the Stokes equations
AbstractFirst‐order system least‐squares spectral collocation methods are presented for the Stokes equations by adopting the first‐order system and modifying the least‐squares functionals in 2. Then homogeneous Legendre and Chebyshev (continuous and discrete) functionals are shown to be elliptic and continuous with respect to appropriate product weighted norms. The spectral convergence is analyzed for the proposed methods with some numerical experiments. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 128–139, 2004
- Chonnam National University Korea (Republic of)
- Kyungpook National University Korea (Republic of)
- Ajou University Korea (Republic of)
flux variable, spectral collocation methods, Stokes equations, Spectral, collocation and related methods for boundary value problems involving PDEs, least-squares method, Navier-Stokes equations, Stability and convergence of numerical methods for boundary value problems involving PDEs, system, numerical experiments
flux variable, spectral collocation methods, Stokes equations, Spectral, collocation and related methods for boundary value problems involving PDEs, least-squares method, Navier-Stokes equations, Stability and convergence of numerical methods for boundary value problems involving PDEs, system, numerical experiments
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