TY - GEN A1 - Elschner, Johannes A1 - Kaiser, Hans-Christoph A1 - Rehberg, Joachim A1 - Schmidt, Gunther T1 - ${W}^{1,q}$ regularity results for elliptic transmission problems on heterogeneous polyhedra N2 - Let $\Upsilon$ be a three-dimensional Lipschitz polyhedron, and assume that the matrix function $\mu$ is piecewise constant on a polyhedral partition of $\Upsilon$. Based on regularity results for solutions to two-dimensional anisotropic transmission problems near corner points we obtain conditions on $\mu$ and the intersection angles between interfaces and $\partial \Upsilon$ ensuring that the operator $-\nabla \cdot \mu \nabla$ maps the Sobolev space $W^1,q_0(\Upsilon)$ isomorphically onto $W^-1,q(\Upsilon)$ for some $q > 3$. KW - Elliptic transmission problems KW - polyhedral domains KW - $W^1q$ regularity Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/459 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4590 ER -