The Use of Quasi-Red and Quasi-Yellow Nonobtuse Refinements in the Solution of 2-D Electromagnetic PDE’s

In the paper, new refinement techniques called “quasi-red” and “quasi-yellow” are applied for the solution of a non-linear Poisson’s equation describing magnetic flux density in 2-D. The equation is solved using the finite element method with non-obtuse triangulation. The goal is to modify initial mesh in some non-standard way to have solely non-obtuse triangles. Usefulness of the method is demonstrated on the problem of optimal shape design of an electromagnet.