| Autor: |
ELSCHNER, J., KAISER, H.-C., REHBERG, J., SCHMIDT, G., Brezzi, F. |
| Předmět: |
|
| Zdroj: |
Mathematical Models & Methods in Applied Sciences; Apr2007, Vol. 17 Issue 4, p593-615, 23p, 1 Diagram |
| Abstrakt: |
Let ϒ be a three-dimensional Lipschitz polyhedron, and assume that the matrix function μ is piecewise constant on a polyhedral partition of ϒ. Based on regularity results for solutions to two-dimensional anisotropic transmission problems near corner points we obtain conditions on μ and the intersection angles between interfaces and ∂ϒ ensuring that the operator -∇ · μ∇ maps the Sobolev space $W_0^{1,q}(\Upsilon)$ isomorphically onto W-1,q(ϒ) for some q > 3. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
