Lagrange multipliers, Finite element methods applied to problems in solid mechanics, meshfree methods, mortar contact, domain decomposition, localized Lagrange multipliers, Stochastic and other probabilistic methods applied to problems in solid mechanics, Particle methods and lattice-gas methods, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, material fracture