Finite element method with optimal nodal velocity
The finite element method FEMALE of the author, \textit{M. Aizawa}, \textit{K. Harada} and \textit{H. Saito} [J. Phys. Soc. Japan 54, 544 (1985)] is outlined. Accuracy is much improved when the velocity of a finite element is equal to that of a local nonlinear wave. In this paper we give a proof of the improvement of accuracy for the discretized equations. The need for node annihilation is discussed for a hyperbolic system of equations and a restructuring algorithm of finite elements is proposed.
scientific article; zbMATH DE number 4037097