RESEARCH ON NON OSCILLATION, PARAMETER FREE FINITE ELEMENT SCHEME 1)

A finite element modified equation is estabished by using the finite element Taylor weak statement for hyperbolic conservation laws and various finite element numerical schemes are obtained by means of reasonably choosing the coefficient of the expansional expression. The relations between the coefficients of the differential terms of the finite element modified equation and stability, dissipation error and dispersion error of finite element schemes are investigated by means of stability analysis. These...