A finite-element estimate with trigonometric hat functions for Sturm–Liouville eigenvalues

AbstractThe computation of eigenvalues of regular Sturm–Liouville problems is considered. Numerical results show that the error of the kth eigenvalue obtained by the finite-element method with trigonometric hat functions and mesh length h is of the same order as the one obtained with the linear hat functions together with a simple asymptotic correction technique of Paine, de Hoog and Anderssen (1981)