High-Order AFEM for the Laplace–Beltrami Operator: Convergence Rates
نویسندگان
چکیده
منابع مشابه
High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates
We present a new AFEM for the Laplace-Beltrami operator with arbitrary polynomial degree on parametric surfaces, which are globally W 1 ∞ and piecewise in a suitable Besov class embedded in C1,α with α ∈ (0, 1]. The idea is to have the surface sufficiently well resolved in W 1 ∞ relative to the current resolution of the PDE in H1. This gives rise to a conditional contraction property of the PDE...
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ژورنال
عنوان ژورنال: Foundations of Computational Mathematics
سال: 2016
ISSN: 1615-3375,1615-3383
DOI: 10.1007/s10208-016-9335-7