TY - JOUR AU - Bonito, Andrea AU - Cascón Barbero, José Manuel AU - Mekchay, Khamron AU - Morin, Pedro AU - Nochetto, Ricardo H. PY - 2016 SN - 1615-3375 UR - http://hdl.handle.net/10366/138169 AB - We present a new AFEM for the Laplace–Beltrami operator with arbitrary polynomial degree on parametric surfaces, which are globally W1∞ and piecewise in a suitable Besov class embedded in C1,α with α∈(0,1]. The idea is to have the surface sufficiently... LA - eng PB - Springer Nature KW - Numerical analysis KW - Laplace–Beltrami operator KW - Parametric surfaces KW - Adaptive Finite Element methods KW - Convergence rates KW - A posteriori error estimates KW - Higher order TI - High-Order AFEM for the Laplace–Beltrami Operator: Convergence Rates ER -