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20102024
most citedRepair Locality with Multiple Erasure Tolerance

197 citations

Showing 2016 · math.NAShow all

5 papers · 2 filters

math.NA2016★ 1 cited

A trace finite element method for PDEs on evolving surfaces

Maxim A. Olshanskii, Xianmin Xu

In this paper, we propose an approach for solving PDEs on evolving surfaces using a combination of the trace finite element method and a fast marching method. The numerical approac…

math.NA2016★ 2 cited

A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations

Ying Yang, Benzhuo Lu, Yan Xie

Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are prop…

math.NA2016★ 21 cited

Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates

Hehu Xie, Manting Xie

In this paper, we propose a computable error estimate of the Gross-Pitaevskii equation for ground state solution of Bose-Einstein condensates by general conforming finite element m…

math.NA2016★ 44 cited

An efficient threshold dynamics method for wetting on rough surfaces

Xianmin Xu, Dong Wang, Xiaoping Wang

The threshold dynamics method developed by Merriman, Bence and Osher (MBO) is an efficient method for simulating the motion by mean curvature flow when the interface is away from t…

math.NA2016★ 3 cited

Variable Total Variation Regularization for Backward Time-Space Fractional Diffusion Problem

Junxiong Jia, Jigen Peng, Jinghuai Gao +1

In this paper, we consider a backward problem for a time-space fractional diffusion process. For this problem, we propose to construct the initial data by minimizing data residual…