We develop a very simple but efficient postprocessing technique for enhancing the accuracy
of the C 1-conforming finite element method for fourth-order boundary value problems. The …

In this article, we develop a numerical approximation for first-order hyperbolic equations on
semi-infinite domains by using a spectral collocation scheme. First, we propose the …

In this paper, we propose a new Galerkin spectral element method for one-dimensional
fourth-order boundary value problems. We first introduce some quasi-orthogonal …

In this paper, we investigate the Legendre spectral methods for problems with the essential
imposition of Neumann boundary condition in three dimensions. A double diagonalization …

An efficient Legendre–Galerkin spectral element method for the steady flows in rectangular
cavities is proposed in this paper. Firstly, we eliminate the singularity of biharmonic equation …