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math.AP2026
Single-axis high-energy X-ray diffraction tomography for elastic residual strain: uniqueness and stability of solutions in the presence of equilibrium constraints
Christopher Wensrich, Sean Holman, Matias Courdurier +1
It is well-established that single-axis Transverse Ray Transform tomography data from high-energy X-ray diffraction is insufficient for general reconstruction of three-dimensional…
math.AP2025
Uniqueness of solutions in high-energy x-ray based `eigenstrain tomography' and other inverse eigenstrain problems: Counter examples and necessary conditions for well-posedness
Christopher Wensrich, Sean Holman, William Lionheart +2
Eigenstrain tomography combines diffraction-based strain measurement with elasticity theory to reconstruct full three-dimensional residual stress fields within solids. Notwithstand…
math.AP2025
Approximation and stability results for the parabolic FitzHugh-Nagumo system with combined rapidly oscillating sources
Eduardo Cerpa, MatÃas Courdurier, Esteban Hernández +2
The use of high-frequency currents in neurostimulation has received increased attention in recent years due to its varied effects on tissues and cells. Nonlinear differential equat…