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|Title:||Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method|
reduced basis method
second-order hyperbolic partial differential equations
|Source:||Hoang, K.C., Khoo, B.C., Liu, G.R., Nguyen, N.C., Patera, A.T. (2013-12). Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Inverse Problems in Science and Engineering 21 (8) : 1310-1334. ScholarBank@NUS Repository. https://doi.org/10.1080/17415977.2012.757315|
|Abstract:||This paper proposes a rapid inverse analysis approach based on the reduced basis (RB) method and the Levenberg-Marquardt-Fletcher algorithm to identify the 'unknown' material properties: Young's modulus and stiffness-proportional Rayleigh damping coefficient of the interfacial tissue between a dental implant and the surrounding bones. In the forward problem, a finite element approximation for a three-dimensional dental implant-bone model is first built. A RB approximation is then established by using a proper orthogonal decomposition - 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 RB approximation for the dental implant-bone model are incorporated in the Levenberg-Marquardt-Fletcher algorithm to enable rapid identification of the unknown material properties. Numerical results are presented to demonstrate the efficiency and robustness of the proposed method. © 2013 Taylor & Francis.|
|Source Title:||Inverse Problems in Science and Engineering|
|Appears in Collections:||Staff Publications|
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