Marco Favino
biphasic model, periodontal ligament, finite elementmethod, Schur complement, elastic-biphasic coupling.
We consider the mathematical modeling, the numerical simulation and an efficient solution strategy of the peri- odontal ligament. For the modeling, we employ a bipha- sic approach which takes the fibrous tissue in the PDL into account as well as the fluid between the fibres. After dis- cretization in space and time, a coupled system with sad- dle point structure has to be solved at each time step. We present and discuss a preconditioning strategy for the Schur complement of this problem. And we apply it for predict- ing the behavior of realistic problems from dental biome- chanics.
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