The lesson starts with a continuation of the discussion on Galerkin weak form integral over the subdomains. It will be shown how the trial function and waiting function will be represented for the weak form. The representation will be done over the element range, and the only focus will be on local representation. The local basis function is defined over the subdomain. Linear polynomials - the simplest form of the basis function is defined, that will help in finite element formulation.
The discussion on basis function continues from the previous video, and the displacement field is written in terms of nodal basis functions and nodal degrees of freedom. The Bubnov-Galerkin method is defined. Representation of physical domain to bi-unit domain is shown. Basis functions have the knocker delta property.