Prof. Lew's  interests lie in the broad area of computational solid mechanics. He is concerned with the fundamental design and mathematical analysis of material models and numerical algorithms, with the goal of reducing uncertainty and increasing efficiency, trust and reliability of computational engineering tools in solid mechanics. Currently the group is focused on two main areas: a) time-integration algorithms and b) discontinuous Galerkin methods in solids and structures, with applications to problems concerning the rapid propagation of fluid-filled cracks and of projectile penetration on tissue-like materials.