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