An element's contribution to the system of equations is given by
where A denotes the element's area and N is the row vector containing the element's shape functions. In A Workout in Computational Finance the derivation of the final equations is explained in detail. At this point we only give the final result of the derivation (neglecting surface integrals)
In the finite element world, K is named element stiffness matrix, M is named element mass matrix and f is called the element load vector.
This series of blog posts summarizes a chapter of the book A Workout in Computational Finance
The seventh post of the series will be published on Thursday, July 18 (also enthusiastic blog authors need some holiday) and will give a deeper analysis of the derived element matrices in general and will calculate them for the concrete example of the 2D linear triangular element presented in the last post.