DOMAIN DECOMPOSITION METHOD WITH HYBRID APPROXIMATIONS APPLIED TO SOLVE PROBLEMS OF ELASTICITY

作者：Grigorenko A Ya^*; Dyyak I I; Prokopyshin I I

来源：International Applied Mechanics, 2008, 44(11): 1213-1222.

• domain decomposition method
• finite-element method
• direct boundary-element method
• parallel Neumann-Neumann algorithm
• sequential Dirichlet-Neumann algorithm
• plane problems of elasticity

To solve two-dimensional boundary-value problems of elasticity, two iteration algorithms of the domain decomposition method are proposed: parallel Neumann-Neumann and sequential Dirichlet-Neumann. They are based on the hybrid boundary-finite-element approximations. The algorithms are proved to converge. The optimal parameters are selected using the minimum-residual and steepest-descent methods. Some plane problems of elasticity are solved as examples, and stationary and nonstationary iteration algorithms in these examples are analyzed for efficiency.

• 出版日期2008-11