Finite Element Analysis for Biomechanical Imaging

Course project for Fundamentals of Finite Element. I identified shear modulus distribution in an inverse elasticity problem where displacement fields were obtained from ultrasonic imaging. The inverse problem was posed as PDE-constrained minimization, and the finite element method was applied to the Euler-Lagrange equations.

Measured displacement fields Input: measured displacement fields in the x and y directions.

Recovered shear modulus Output: recovered shear modulus distribution.

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