Name
Title | ||
|---|---|---|
Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions |
Abstract | ||
|---|---|---|
We are interested in a robust and accurate domain decomposition method with arbitrary interface conditions on nonmatching multiblock grids using a finite volume discretization. To take into account the nonmatching grids at the interface, we introduce transmission operators, Dirichlet--Neumann interface conditions, and arbitrary equivalent interface conditions (for example, Robin interface conditions). Under a compatibility assumption on the transmission operators, we prove the equivalence between the different types of interface conditions and the well posedness of the local and global problems. Then two error estimates are proven in terms of the discrete H1-norm: the first in O(h)1/2 with transmission operators based on piecewise constant functions and the second in O(h) (as in the matching case) with transmission operators using a piecewise linear rebuilding. In conclusion, numerical results are presented in confirmation of the theory. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1137/S0036142903434059 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
accurate domain decomposition method,neumann interface condition,robin interface condition,piecewise linear rebuilding,arbitrary interface condition,arbitrary interface conditions,finite volume methods,transmission operator,arbitrary equivalent interface condition,domain decomposition,nonmatching grids,piecewise constant function,nonmatching grid,interface condition,finite volume method,finite volume,domain decomposition methods,numerical analysis | Mathematical optimization,Mathematical analysis,Constant function,Equivalence (measure theory),Operator (computer programming),Numerical analysis,Finite volume method,Piecewise linear function,Domain decomposition methods,Piecewise,Mathematics | Journal |
Volume | Issue | ISSN |
43 | 2 | 0036-1429 |
Citations | PageRank | References |
3 | 0.58 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Saas | 1 | 3 | 0.58 |
| I. Faille | 2 | 3 | 0.58 |
| Frédéric Nataf | 3 | 248 | 29.13 |
| F. Willien | 4 | 4 | 1.00 |