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Weakly-normal basis vector fields in RKHS with an application to shape Newton methods. (arXiv:1705.08463v2 [math.OC] UPDATED)
来源于:arXiv
We construct a space of vector fields that are normal to differentiable
curves in the plane. Its basis functions are defined via saddle point
variational problems in reproducing kernel Hilbert spaces (RKHSs). First, we
study the properties of these basis vector fields and show how to approximate
them. Then, we employ this basis to discretise shape Newton methods and
investigate the impact of this discretisation on convergence rates. 查看全文>>