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• W2036927094 abstract "An adaptive nonconforming finite element method is developed and analyzed that provides an error reduction due to the refinement process and thus guarantees convergence of the nonconforming finite element approximations. The analysis is carried out for the lowest order Crouzeix-Raviart elements and leads to the linear convergence of an appropriate adaptive nonconforming finite element algorithm with respect to the number of refinement levels. Important tools in the convergence proof are a discrete local efficiency and a quasi-orthogonality property. The proof does neither require regularity of the solution nor uses duality arguments. As a consequence on the data control, no particular mesh design has to be monitored." @default.
• W2036927094 created "2016-06-24" @default.
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• W2036927094 date "2006-03-06" @default.
• W2036927094 modified "2023-10-13" @default.
• W2036927094 title "Convergence analysis of an adaptive nonconforming finite element method" @default.
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• W2036927094 doi "https://doi.org/10.1007/s00211-005-0658-6" @default.
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