Showing papers by "Hans Petter Langtangen published in 1989"

A method for smoothing derivatives of multilinear finite element fields

Abstract: An improved method for calculating smooth derivatives of multilinear finite element fields is presented The method is also applicable to finite difference schemes A simple one-dimensional model problem is discussed analytically, and the new method shows superior behaviour compared to existing popular smoothing techniques Two- and three-dimensional problems involving isoparametric elements are tested, and the results show improvements over the widely used global least-squares method, with lumped mass matrix, especially at the boundaries and for non-uniform meshes