6 citations · 8 across the 5 of their papers we have counts for
8 papers · 1 filter
Error Analysis of Virtual Element Method for the Poisson-Boltzmann Equation
Linghan Huang, Shi Shu, Ying Yang
The Poisson-Boltzmann equation is a nonlinear elliptic equation with Dirac distribution sources, which has been widely applied to the prediction of electrostatics potential of biol…
Fourier Neural Solver for large sparse linear algebraic systems
Chen Cui, Kai Jiang, Yun Liu +1
Large sparse linear algebraic systems can be found in a variety of scientific and engineering fields, and many scientists strive to solve them in an efficient and robust manner. In…
Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems
Qing Lu, Junxian Wang, Shi Shu +1
The research of two-level overlapping Schwarz (TL-OS) method based on constrained energy minimizing coarse space is still in its infancy, and there exist some defects, e.g. mainly…
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations
Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu +2
The paper focuses on developing and studying efficient block preconditioners based on classical algebraic multigrid for the large-scale sparse linear systems arising from the fully…
Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations
Ying Yang, Ruigang Shen, Mingjuan Fang +1
The a posteriori error estimates are studied for a class of nonlinear stead-state Poisson-Nernst-Planck equations, which are a coupled system consisting of the Nernst-Planck equati…
Adaptive-Multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems
Jie Peng, Shi Shu, Junxian Wang +1
In this paper, we are concerned with the weighted plane wave least-squares (PWLS) method for three-dimensional Helmholtz equations, and develop the multi-level adaptive BDDC algori…