Inverse Problems

Software & Packages

Software for stress fields, wave propagation, and scattering.

Elastic waves in bearing raceways: the forward and inverse problem

We model elastic waves in bearing raceways to detect defects and friction. By treating raceways as hollow cylinders, we derive 4×4 systems for vibrational modes, enabling forward and inverse problem solving. Using roller count and speed as priors reduces sensor requirements. Examples show recovery of contact traction and detection of elastic emissions.

Inverse Problems

Making predictions from only a few measurements.

Characterising particulate random media from near-surface backscattering: A machine learning approach to predict particle size and concentration

To what extent can particulate random media be characterised using direct wave backscattering from a single receiver/source? Here, in a two-dimensional setting, we show using a machine learning approach that both the particle radius and concentration …

Waves in Complex Materials

Waves (sound, radio, light, and vibrations) in materials with random microstructure.

Industrial Mathematics

Combining maths, data and code to solve commercial and industrial problems.