52 citations · 122 across the 13 of their papers we have counts for
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math.NA2017★ 1 cited
A finite element method for elliptic problems with observational boundary data
Zhiming Chen, Rui Tuo, Wenlong Zhang
In this paper we propose a finite element method for solving elliptic equations with the observational Dirichlet boundary data which may subject to random noises. The method is bas…
math.NA2017★ 12 cited
Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction
Habib Ammari, Lingyun Qiu, Fadil Santosa +1
In this paper we present a mathematical and numerical framework for a procedure of imaging anisotropic electrical conductivity tensor by integrating magneto-acoutic tomography with…
math.NA2017
Stochastic Convergence of A Nonconforming Finite Element Method for the Thin Plate Spline Smoother for Observational Data
Zhiming Chen, Rui Tuo, Wenlong Zhang
The thin plate spline smoother is a classical model for fnding a smooth function from the knowledge of its observation at scattered locations which may have random noises. We consi…