27 citations · 69 across the 8 of their papers we have counts for
6 papers · 1 filter
Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
Run Jiang, Haijun Wu, Yifeng Xu +1
A nonlinear Helmholtz (NLH) equation with high frequencies and corner singularities is discretized by the linear finite element method (FEM). After deriving some wave-number-explic…
Adaptive Reconstruction for Electrical Impedance Tomography with a Piecewise Constant Conductivity
Bangti Jin, Yifeng Xu
In this work we propose and analyze a numerical method for electrical impedance tomography of recovering a piecewise constant conductivity from boundary voltage measurements. It is…
A Minimization Method for The Double-Well Energy Functional
Qian Zhang, Long Chen, Yifeng Xu
In this paper an iterative minimization method is proposed to approximate the minimizer to the double-well energy functional arising in the phase-field theory. The method is based…
Quasi-Optimality of an Adaptive Finite Element Method for Cathodic Protection
Guanglian Li, Yifeng Xu
In this work, we derive a reliable and efficient residual-typed error estimator for the finite element approximation of a 2d cathodic protection problem governed by a steady-state…
A Convergent Adaptive Finite Element Method for Electrical Impedance Tomography
Bangti Jin, Yifeng Xu, Jun Zou
In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for…
Convergence of an Adaptive Finite Element Method for Distributed Flux Reconstruction
Yifeng Xu, Jun Zou
We shall establish the convergence of an adaptive conforming finite element method for the reconstruction of the distributed flux in a diffusion system. The adaptive method is base…