Stochastic Convergence of a Nonconforming Finite Element Method for the Thin Plate Spline Smoother for Observational Data

DOI10.1137/16M109630XzbMath1397.65254arXiv1701.08626OpenAlexW2585151614MaRDI QIDQ4609522

Zhiming Chen, Rui Tuo, Wenlong Zhang

Publication date: 4 April 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08626

zbMATH Keywords

optimal choiceweak formulationradial basis functionsempirical processthin plate splinesmoothing parameterstochastic convergencenonconforming Morley elementsub-Gaussian noise

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems ⋮ A data-driven model reduction method for parabolic inverse source problems and its convergence analysis ⋮ Convexification for an inverse parabolic problem ⋮ Approximation from Noisy Data

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