Upwind isoparametric interpolation finite point method for 2D scalar conservation equation

Abstract

A new upwind isoparametric interpolation finite point (UIIFP) scheme for meshless solver is proposed. This method is developed based on the least-squares procedure and an upwind isoparametric interpolation approximation of the fictitious interface directional flux. The accuracy of UIIFP scheme and 2D test computation is presented. Copyright © 2007 John Wiley & Sons, Ltd.