TY - EJOU AU - Tang, H.W. AU - Yang, Y.T. AU - Chen, C.K. TI - Upper and Lower Bounds of the Solution for the Superelliptical Plates Problem Using Genetic Algorithms T2 - Computer Modeling in Engineering \& Sciences PY - 2012 VL - 85 IS - 3 SN - 1526-1506 AB - In this article, a new method combining the Mathematical Programming and the Method of Weighted Residual called MP-MWR is presented. Under the validation of maximum principle, and up on the collocation method, the differential equation can be transferred into a bilateral inequality problem. Applying the genetic algorithms helps to find optimal solutions of upper and lower bounds which satisfy the inequalities. Here, the method is verified by analyzing the deflection of superelliptical clamped plate problem. By using this method, the good approximate solution and its error bounds can be obtained effectively and accurately. KW - Mathematical Programming KW - Method of Weighted Residuals KW - collocation method KW - superelliptical plate KW - genetic algorithms DO - 10.3970/cmes.2012.085.193