Abstract
We study an iteration for the solution of two-body contact problems without friction based on one-sided contact problems for one body and Neumann problems for the other one. The convergence of this iteration is proved in the continuous setting by reformulating it as a fixed point iteration for a contractive operator. In addition, the application of the method with mortar finite elements is discussed, and the convergence of the corresponding discrete iteration is verified.
| Original language | English |
|---|---|
| Pages (from-to) | 1103-1118 |
| Number of pages | 16 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 13 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2003 |
| Externally published | Yes |
Keywords
- Contact problems
- Domain decomposition
- Mortar finite elements