The Chebyshev spectral element approximation with exact quadratures
作者：
Highlights：
• The paper addressed and assessed some of the issues concerning the numerical accuracy on the Chebyshev spectral element method.
• A new Chebyshev spectral element method is developed by using exact quadratures in computing spectral elements.
• The method is validated with the Stokes and the Cauchy–Riemann problems.
• Numerical results show that an enhancement of the approximation convergence rate is attained.
• Numerical accuracy is much better than that from other spectral element methods.
摘要
•The paper addressed and assessed some of the issues concerning the numerical accuracy on the Chebyshev spectral element method.•A new Chebyshev spectral element method is developed by using exact quadratures in computing spectral elements.•The method is validated with the Stokes and the Cauchy–Riemann problems.•Numerical results show that an enhancement of the approximation convergence rate is attained.•Numerical accuracy is much better than that from other spectral element methods.
论文关键词：Spectral element method,Quadratures,Stokes flow,Cauchy–Riemann problem
论文评审过程：Received 30 March 2012, Revised 21 July 2015, Available online 13 October 2015, Version of Record 11 November 2015.
论文官网地址：https://doi.org/10.1016/j.cam.2015.09.021
