In this talk, we want to briefly review the theoretical foundations of the finite element exterior calculus (FEEC) method and apply it to a B-Spline discretization of a tensor-product domain. As an extension, we study the conforming/non-conforming (Conga) method. Throughout, we will apply our results on a cold plasma equation, whose solution will be computed numerically at the end. For this purpose, a software package in the Julia programming language was developed and will be presented too.
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