A fast multipole BEM for solving thin plate bending problems
作者单位：Mechanical EngineeringUniversity of Cincinnati Institute for Computational Mechanics and Its Applications(NPUiCMA)Northwestern Polytechnical University
会议名称：《中国力学大会——2013》
会议日期：2013年
学科分类：07[理学] 08[工学] 070102[理学-计算数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）]
摘 要：A fast multipole boundary element method(BEM) for solving large-scale thin plate bending problems will be presented in this *** plate bending problems are governed by bihannonic equation under given boundary conditions. This PDE can be transformed into two direct boundary integral equations(BIEs) that are sufficient to solve the unknown boundary variables—deflection,rotation,shear force,or bending moment—two at each boundary *** multipole formulations are developed for the two direct BIEs based on the