Convergence of an adaptive hp finite element strategy in higher space-dimensions

• Autores: M. Bürg, W. Dörfler
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 11, 2011, págs. 1132-1146
• Idioma: inglés
• DOI: 10.1016/j.apnum.2011.07.008
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• Resumen

  • We show convergence in the energy norm for an automatic hp-adaptive refinement strategy for finite elements on the elliptic boundary value problem. The result is a generalization of a marking strategy, which was proposed in one space-dimension, to problems in two- and three-dimensional spaces.