The hp-adaptive FEM based on continuous Sobolev embeddings: isotropic refinements

Fankhauser, Thomas; Wihler, Thomas; Wirz, Marcel (2014). The hp-adaptive FEM based on continuous Sobolev embeddings: isotropic refinements. Computers and mathematics with applications, 67(4), pp. 854-868. Elsevier 10.1016/j.camwa.2013.05.024

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The aim of this paper is to present a new class of smoothness testing strategies in the
context of hp-adaptive refinements based on continuous Sobolev embeddings. In addition
to deriving a modified form of the 1d smoothness indicators introduced in [26], they will
be extended and applied to a higher dimensional framework. A few numerical experiments
in the context of the hp-adaptive FEM for a linear elliptic PDE will be performed.

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