Wear Simulation of Knee Implants and Shape Optimization for Patient-group specific Wear Minimization
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.
Publikationen
2018 |
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Lisa Fischer, Sebastian Götschel, Martin Weiser | 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) |
PDF (ZIB-Report)
BibTeX DOI |
Martin Weiser, Sunayana Ghosh | Theoretically optimal inexact SDC methods | Communications in Applied Mathematics and Computational Science, pp. 53-86, 2018 (preprint available as ZIB-Report 16-52) |
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2017 |
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Felix Binkowski | 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) |
PDF (ZIB-Report)
BibTeX |
2015 |
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Martin Weiser | 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) |
PDF (ZIB-Report)
BibTeX DOI |