Mass and momentum conservation of the least-squares spectral collocation method for the Navier–Stokes equations

Kattelans, Thorsten; Heinrichs, Wilhelm

doi:10.1016/j.cam.2011.08.004

Cited by 3 publications

(1 citation statement)

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“…The spectral/pseudospectral methods have been applied to solve virous of partial differential equations . Also, least squares spectral/pseudospectral methods have been applied to discretise differential equations, such as population balance problems , second‐order elliptic boundary value problems , the Stokes and Navier–Stokes problems .…”

Section: Introductionmentioning

confidence: 99%

The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem

Qin

2016

Numerical Methods Partial

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The Legendre Galerkin Chebyshev collocation least squares method is presented for a second‐order elliptic problem with variable coefficients. By introducing a flux variable, the original problem is rewritten as an equivalent first‐order system. The present method is based on the Legendre Galerkin method, but Chebyshev–Gauss–Lobatto collocation is used to deal with the variable coefficient and the right hand side terms. The coercivity and continuity of the method are proved and an error estimate in the H 1 ‐norm is derived. Some numerical examples are given to validate the efficiency and accuracy of the scheme. © 2016Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 1689–1703, 2016

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Section: Introductionmentioning

confidence: 99%