ABSTRACT

In this talk I shall highlight four general principles (or, if you like, methods), giving them mnemonic monikers for reference:

COMPARE, uI : Compare the finite element approximation to an “interpolant” uI .

LOC$YMM.MESH: A point about which the mesh is locally symmetric is a superconvergent point.

⊗PROD.ELEMTS: One-dimensional results translate to tensor product elements.

н TRANSL.INV.MESH: Differencing is better than differentiating, in particular on translation invariant meshes.

(In response to a remark made at the conference, I shall also give, in the concluding remarks, the gist of the principle that “anything about superconvergence in linear problems translates to nonlinear problems”.)