Well...as promised, these past days I've been researching on the possiblity of efficiently use the SBRA through the application of MonteCarlo methods.
I have been successful in my research and I have found this very interesting course:
It is extremely complete!!
I have used it to refresh my rusted matrix knowledge from my university years, and so far I have managed to implement a very simple program - though effective for my purposes - that will allow me to benchmark the most time-consuming tasks in classical analysis.
This is a very brief resume of the algorithm from the course outlined above:
DIRECT STIFFNESS METHOD STEPS
- Member Formation
- Application of boundary conditions
- Recovery of derived quantities
The code provided in the course is for Mathematica®, so all I have to do is translate it to C++.
I will provide the lines of code in the following posts.