Convergence of an adaptive FEM for a class of degenerate convex minimization problems
نویسندگان
چکیده
منابع مشابه
Convergence of Adaptive Fem for a Class of Degenerate Convex Minimization Problems
A class of degenerate convex minimization problems allows for some adaptive finite element method (AFEM) to compute strongly converging stress approximations. The algorithm AFEM consists of successive loops of the form SOLVE→ ESTIMATE→ MARK→ REFINE and employs the bulk criterion. The convergence in L ′ (Ω;Rm×n) relies on new sharp strict convexity estimates of degenerate convex minimization pro...
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*Correspondence: [email protected] 1Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany 2Department of Computational Science and Engineering, Yonsei University, Unter den Linden 6, 120-749, Seoul, Korea Abstract Background: The discretisation of degenerate convex minimisation problems experiences numerical difficulties with a singular or near...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2007
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drm034