Higher Order Nonlocal Operator Method

In this chapter, we extend the first-order NOM to higher order by using a Taylor series expansion. The is special case of NOM. can be derived two methods, one weighted expansion, and other minimization operator energy functional for For quadratic functional, residual, tangent stiffness matrix nonlocal strong form. section on numerical examples, applied current method problems formulated form weak These examples include Poisson equation in 2–5D space, Von Karman plate equations, phase field fracture model.