Tutorial Part IV (Automatic Adaptivity)ΒΆ

So far we have not paid much attention to the accuracy of results. In general, a computation on a fixed mesh is not likely to be very accurate. There is a need for adaptive mesh refinement (AMR) that improves the quality of the approximation by refining mesh elements or increases the polynomial degree where the approximation error is large.

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Adaptive low-order FEM and hp-FEM