|
| Program-iteration pattern Fast Multipole BEM for elasto-plastic contact with friction |
| Revised:June 03, 2006 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20081015 |
| KeyWord:elasto-plastic contact with friction,FM-BEM,IGMRES(m) algorithm,convergence |
| YU Chun-xiao SHEN Guang-xian |
|
| Hits: 1455 |
| Download times: 27 |
| Abstract: |
| A new program-iteration pattern method was proposed for the solution of highly nonlinear equations.It was named the Incomplete Generalized Minimal Residual Method(IGMRES(m)),which was based on the Fast Multipole Method(FMM).By using the truncation technology,the presented method constructed new recursion formulae only using some of the calculated vectors to compute theadvancing vectors,which could greatly reduce the computation and memory requirement.The FMM was used to compute the product of a matrix and some vectors.In combination with the Generalized Minimal Residual Method(GMRES(m)),the convergence theory of the IGMRES(m) was established.The presented method was well suitable for 3-D elasto-plastic frictional contact Fast Multipole Boundary Element Method(FM-BEM), which was much efficient for the elasto-plastic complicated iteration and timeconsuming problems.Numerical examples were given to prove that the new method could greatly reduce the iteration times and improve the computational efficiency with ensured numerical accuracy. |
|
|
|