ABSTRACT
Two systematic procedures of obtaining a local polynomial representation for the basic unknown function of a boundary value problem and the corresponding derivative quantities of interest, which contains “built-in” information from the field equations, are presented. The first procedure is based on power series method and the second one is based on weighted residual method. Based on these local representations two simple and robust patch recovery methods, in which the unknown parameters are determined by simultaneous discrete least squares fitting of both the basic unknown and the corresponding derivatives, are proposed. A computationally simple way of improving the results of these patch recovery methods by adding information from the boundary conditions is further proposed. Two numerical examples dealing with potential flow and plane elasticity are finally given.
