AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property
نویسندگان
چکیده
منابع مشابه
AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property
We present an adaptive finite element method (AFEM) of any polynomial degree for the Laplace-Beltrami operator on C graphs Γ in R (d ≥ 2). We first derive residual-type a posteriori error estimates that account for the interaction of both the energy error in H(Γ) and the surface error in W 1 ∞(Γ) due to approximation of Γ. We devise a marking strategy to reduce the total error estimator, namely...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2011
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-2010-02435-4