A remark on the optimality of adaptive finite element methods |
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Authors: | Roland Becker David Trujillo |
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Institution: | Laboratoire de mathématiques appliquées and INRIA Bordeaux sud-ouest, université de Pau, 64013 Pau cedex, France |
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Abstract: | We show that the standard assumption on the smallness of the marking parameter θ in adaptive finite element methods can be avoided for the proof of the optimality of the algorithm. To this end we propose a new technique based on comparison of the solutions of different finite element spaces obtained by different refinements of a given mesh. We consider conforming and nonconforming low-order finite elements on triangular and tetrahedral meshes. |
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