A. Giunti, R. Höfer and J.J.L. Velázquez Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes 2018 https://arxiv.org/abs/1803.10214
Arianna Giunti and Richard M. Höfer Homogenization for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes arXiv e-prints: arXiv:1809.04491 2018 https://ui.adsabs.harvard.edu/abs/2018arXiv180904491G
Richard M. Höfer The inertialess limit of particle sedimentation modeled by the Vlasov-Stokes equations SIAM J. Math. Anal., 50(5): 5446--5476 2018 10.1137/18M1165554
Richard M. Höfer Sedimentation of Inertialess Particles in Stokes Flows Communications in Mathematical Physics, 360(1): 55--101 2018 10.1007/s00220-018-3131-y
Abstract: We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles in the case of a dilute system in which interactions between particles are still important. In the relevant time scale, we rigorously prove convergence of the dynamics to the solution of a macroscopic equation. This macroscopic equation resembles the Stokes equations for a fluid of variable density subject to gravitation.
2016
Richard Höfer and Juan JL Velázquez The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains 2016 http://arxiv.org/abs/1603.06750
2015
S. Beuchler, K. Hofer, D. Wachsmuth and J.-E. Wurst Boundary concentrated finite elements for optimal control problems with distributed observation Comput. Optim. Appl., 62(1): 31--65 2015 http://dx.doi.org/10.1007/s10589-015-9737-5