Computational Science Asked by wyer33 on March 31, 2021
What are the practical differences between a Galerkin finite element method vs an orthogonal collocation method? The best reference I’ve found thus far as been a paper titled The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics by Dyksen, Houstis, Lynch, and Rice. To me, it seems like:
Does this sound correct? Are there other practical differences such as preconditioner suitability, problems with ad-hoc methods like mass lumping, flexibility enforcing boundary conditions, or other intangibles that may favor one method over another given a certain situation?
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