155 citations · 987 across the 104 of their papers we have counts for
5 papers · 1 filter
Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous Coefficients
Jinchao Xu
In this paper, we consider elliptic boundary value problems with discontinuous coefficients and obtain the asymptotic optimal error estimate $\|u-u_k\|_{1,Ω}\leqslant Ch|\ln h|^{1/…
Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem
Jun Hu, Jinchao Xu
In this paper, we analyze the convergence and optimality of a standard adaptive nonconforming linear element method for the Stokes problem. After establishing a special quasi--orth…
Convergence and optimality of the adaptive Morley element method
Jun Hu, Zhongci Shi, Jinchao Xu
This paper is devoted to the convergence and optimality analysis of the adaptive Morley element method for the fourth order elliptic problem. A new technique is developed to establ…
An Error-Resilient Redundant Subspace Correction Method
Tao Cui, Jinchao Xu, Chen-Song Zhang
As we stride toward the exascale era, due to increasing complexity of supercomputers, hard and soft errors are causing more and more problems in high-performance scientific and eng…
Block Triangular Preconditioning for Stochastic Galerkin Method
Bin Zheng, Guang Lin, Jinchao Xu
In this paper we study fast iterative solvers for the large sparse linear systems resulting from the stochastic Galerkin discretization of stochastic partial differential equations…