Consider the fourth-order equation (4.1) and its weak form (4.4). Suppose that a two-node element is


Consider the fourth-order equation (4.1) and its inefficient form (4.4). Suppose that a two-node atom is industrious, delay three primary variables at each node:  where θ = dw/dx and K = d2 w/dx2 . Show that the associated interpolation (Hermite) functions are ardent by

where x is the atom coordinate delay the commencement at node 1. Also appraise the atom barbarism matrix and hardness vector.