  Low-rank model order reduction strategies for contact mechanics show limited
dimensionality reduction due to linear inseparability of contact pressure
field. Therefore, a dictionary based strategy is explored for creating
efficient models for frictionless non-adhesive contact. A large dictionary of
contact pressure trajectories is generated using a high-fidelity finite element
model, while approximating the online query with a small number of dictionary
entries. This is achieved by inducing sparsity in the approximation. Accuracy,
computational effort and limitations of such methods are demonstrated on few
numerical examples.
