| Abstract: |
| This talk will focus on an adaptive finite element solution framework for the problem of identifying a distributed parameter in a linear elasticity system. We formulate the problem of estimating the tissue stiffness parameter in the system from measurements of displacement as an optimization problem. A stochastic approximation method with finite element discretization for the solution of the problem is introduced and adaptive mesh refinement framework that provides the resolution needed for the recovery of the parameter is discussed. |
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