Identification and reconstruction of elastic body forces

We address the identification and reconstruction of 2D elastostatic and elastodynamic body forces from pairs of displacement and traction boundary data. As in the scalar acoustic case, an elastic body force cannot be fully identified from a single boundary measurement. We present some partial identification results for a single and multiple boundary measurements. We show that full identification can be obtained by considering boundary measurements along a full set of frequencies. We present and test two numerical methods for retrieving the body force.