Numerical homogenization of fractal interface problems

We consider the numerical homogenization of a class fractal elliptic interface problems inspired by related mechanical contact from geosciences. A particular feature is that solution space depends on actual geometry. Our main results concern construction projection operators with suitable stability and approximation properties. The existence such projections then allows for application existing concepts localized orthogonal decomposition (LOD) successive subspace correction to construct first multiscale discretizations iterative algebraic solvers scale-independent convergence behavior this problems.