https://wujorgen.github.io/tags/fortran/Recent content in Fortran on Jorgen WuHugoenSun, 28 Jun 2026 00:00:00 +0000https://wujorgen.github.io/posts/iterative-methods-parallelization/Sun, 28 Jun 2026 00:00:00 +0000https://wujorgen.github.io/posts/iterative-methods-parallelization/<h1 id="background"> Background <a class="heading-link" href="#background"> <i class="fa-solid fa-link" aria-hidden="true" title="Link to heading"></i> <span class="sr-only">Link to heading</span> </a> </h1> <p>Elliptic PDEs are the most expensive type of PDE to solve as they require a global solve Unfortunately, they commonly appear in many simulations. This post will cover solution some iterative solution methods for elliptic PDEs. Those are, in order:</p> <ul> <li>Jacobi Iteration</li> <li>Gauss Seidel</li> <li>Successive Over-Relaxation (SOR)</li> <li>Red-Black Parallelization</li> </ul> <p>The Fortran programming language will be used instead of C or C++ due to its native support for multi-dimensional arrays. The codes will be compiled with <code>gfortran</code>. The results will be written out to CSV files and visualized using Matplotlib in Python.</p>