RESEARCH ARTICLE Rapid identiflcation of material properties of the interface tissue in dental implant systems using reduced basis method

This paper proposes a rapid inverse analysis approach based on the reduced basis method and the Levenberg{Marquardt{Fletcher algorithm to identify the \unknown" material properties: Young’s modulus and stifiness-proportional Rayleigh damping coe‐cient of the interfacial tissue between a dental implant and the surrounding bones. In the forward problem, a flnite element approximation for a three-dimensional dental implant-bone model is flrst built. A reduced basis approximation is then established by using a Proper Orthogonal Decomposition (POD){Greedy algorithm and the Galerkin projection to enable extremely fast and reliable computation of displacement responses for a range of material properties. In the inverse analysis, the reduced basis approximation for the dental implant-bone model are incorporated in the Levenberg{Marquardt{Fletcher algorithm to enable rapid identiflcation of the unknown material properties. Numerical results are presented to demonstrate the e‐ciency and robustness of the proposed method.