Abstract
Uniform solvability of finite element solutions in approximate domains is studied. An operator that extends functions in finite element spaces to the exact domain is constructed and some estimates in the boundary skin are presented. The extension operator is successfully used to prove uniform solvability in approximate domains for problems subject to slip boundary conditions and so on.
| Original language | English |
|---|---|
| Pages (from-to) | 567-585 |
| Number of pages | 19 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 18 |
| Issue number | 2 |
| Publication status | Published - 2001 Jun |
| Externally published | Yes |
Keywords
- Approximate domains
- Boundary skin
- Finite element methods
- Uniform solvability
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics