ITERATIVE SOLUTION METHODS FOR PLATE BENDING PROBLEMS - MULTIGRID AND PRECONDITIONED CG ALGORITHM

作     者：PEISKER, P RUST, W STEIN, E 

出 版 物：《SIAM JOURNAL ON NUMERICAL ANALYSIS》 (工业与应用数学会数值分析杂志)

年 卷 期：1990年第27卷第6期

页      面：1450-1465页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：65N30 multigrid algorithm preconditioned conjugate gradients Kirchhoff plate Mindlin–Reissner plate finite elements 

摘      要：The numerical solution of the linear equations arising from a discretization of the plate bending problem based on the Zienkiewicz triangle is studied. The finite element scheme proceeds from the Mindlin–Reissner formulation with modified shear energy. However, the Kirchhoff condition is imposed on discrete points. A multigrid algorithm is analyzed and numerical examples are provided. Furthermore, a suitable preconditioning is established for the use of conjugate gradients.