TY - JOUR AU - Gerritsma, Marc I. AB - In this paper the extension of the Legendre least-squares spectral element formulation to Chebyshev polynomials will be explained. The new method will be applied to the incompressible Navier-Stokes equations and numerical results, obtained for the lid-driven cavity flow at Reynolds numbers varying between 1000 and 7500, will be compared with the commonly used benchmark results. The new results reveal that the least-squares spectral element formulations based on the Legendre and Chebyshev Gauss-Lobatto Lagrange interpolating polynomials are equally accurate. TI - Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations JF - Numerical Algorithms DO - 10.1007/bf02810621 DA - 2005-03-01 UR - https://www.deepdyve.com/lp/springer-journals/application-of-the-least-squares-spectral-element-method-using-u7Ap5inp0k SP - 155 EP - 172 VL - 38 IS - 1-3 DP - DeepDyve ER -