27 citations · 69 across the 8 of their papers we have counts for
8 papers
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…
An Adaptive Phase-Field Method for Structural Topology Optimization
Bangti Jin, Jing Li, Yifeng Xu +1
In this work, we develop an adaptive algorithm for the efficient numerical solution of the minimum compliance problem in topology optimization. The algorithm employs the phase fiel…
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…
Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
Junjiang Lai, Hongyu Liu, Jingni Xiao +1
Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under…
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…