For the market admittance of joint implants, a standardized wear test has to be performed. During the design phase, similar tests are necessary as well. Those tests are very cost and time expensive. The project aims at the development of simulation and optimization methods for substituting some of the design phase tests by simulations. Additionally, the design process shall be accelerated by shape optimization, and the offered implants be tailored to the patient population by taking different patient groups into account.

Focus of the work at ZIB is the long-time integration of wear trajectories. The implant geometry is modified due to wear, which in turn changes the wear rate. The evolution is determined by the wear of one load cycle, the simulation of which is computationally expensive. We develop adaptive methods for controlling tolerance, order, and time step for an efficient simulation of many load cycles.

Publications

2018
Lossy data compression reduces communication time in hybrid time-parallel integrators Comput. Vis. Sci., 19(1), pp. 19-30, 2018 (preprint available as ZIB-Report 17-25) Lisa Fischer, Sebastian Götschel, Martin Weiser PDF (ZIB-Report)
BibTeX
DOI
Wear Simulation of Knee Implants
Theoretically optimal inexact SDC methods Communications in Applied Mathematics and Computational Science, pp. 53-86, 2018 (preprint available as ZIB-Report 16-52) Martin Weiser, Sunayana Ghosh PDF (ZIB-Report)
BibTeX
DOI
Wear Simulation of Knee Implants
2017
On the convergence behavior of spectral deferred correction methods for convection-diffusion equations Master's thesis, Technische Universität Berlin, Jörg Liesen, Martin Weiser (Advisors), 2017 (preprint available as ZIB-Report 17-53) Felix Binkowski PDF (ZIB-Report)
BibTeX
Wear Simulation of Knee Implants
2015
Faster SDC convergence on non-equidistant grids by DIRK sweeps BIT Numerical Mathematics, 55(4), pp. 1219-1241, 2015 (preprint available as ZIB-Report 13-30) Martin Weiser PDF (ZIB-Report)
BibTeX
DOI
Wear Simulation of Knee Implants