1.Previous
3.Next

computer.

Weak formulation

The first step is to convert P1 and P2 into their equivalent weak formulations.

The weak form of P1

If solves P1, then for any smooth function that satisfies the displacement boundary conditions, i.e. at and , we have

Conversely, if with satisfies (1) for every smooth function then one may show that this will solve P1. The proof is easier for twice continuously differentiable (mean value theorem)

1.Previous
3.Next