# Publications on arxiv

1.
Title: Algebraic Multigrid Methods
Subjects: Numerical Analysis (math.NA)
2.
Title: Constructing Frequency Domains on Graphs in Near-Linear Time
Subjects: Numerical Analysis (math.NA)
3.
Title: Error estimates for structure-preserving discretization of the incompressible MHD system
Subjects: Numerical Analysis (math.NA)
4.
Title: On the Approximation of Laplacian Eigenvalues in Graph Disaggregation
Subjects: Numerical Analysis (math.NA)
5.
Title: Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions
Subjects: Numerical Analysis (math.NA)
6.
Title: High-Order Extended Finite Element Methods for Solving Interface Problems
Subjects: Numerical Analysis (math.NA)
7.
Title: On the Accuracy of Partially Implicit Schemes for Phase Field Modeling
Subjects: Numerical Analysis (math.NA)
8.
Title: Multiphase Allen-Cahn and Cahn-Hilliard Models and Their Discretizations with the Effect of Pairwise Surface Tensions
Subjects: Mathematical Physics (math-ph); Numerical Analysis (math.NA)
9.
Title: A Nonconforming Finite Element Method for the Biot's Consolidation Model in Poroelasticity
Subjects: Numerical Analysis (math.NA)
10.
Title: Arbitrary Dimension Convection-Diffusion Schemes for Space-Time Discretizations
Subjects: Numerical Analysis (math.NA)
11.
Title: On the Maximal Error of Spectral Approximation of Graph Bisection
Subjects: Numerical Analysis (math.NA)
12.
Title: Fast multilevel solvers for a class of discrete fourth order parabolic problems
Subjects: Numerical Analysis (math.NA)
13.
Title: Modeling and Simulation for Fluid-Rotating Structure Interaction
Subjects: Numerical Analysis (math.NA)
14.
Title: Mixed Finite Elements of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor
Subjects: Numerical Analysis (math.NA)
15.
Title: Stability and Monotonicity for Some Discretizations of the Biot's Model
Subjects: Numerical Analysis (math.NA)
16.
Title: Structure-preserving Finite Element Methods for Stationary MHD Models
Subjects: Numerical Analysis (math.NA)
17.
Title: Energetically stable discretizations for charge carrier transport and electrokinetic models
Subjects: Numerical Analysis (math.NA)
18.
Title: A Finite Element Framework for Some Mimetic Finite Difference Discretizations
Subjects: Numerical Analysis (math.NA)
19.
Title: Robust Preconditioners for Incompressible MHD Models
Subjects: Numerical Analysis (math.NA); Fluid Dynamics (physics.flu-dyn)
20.
Title: A uniform additive Schwarz preconditioner for the $hp$-version of Discontinuous Galerkin approximations of elliptic problems
Subjects: Numerical Analysis (math.NA)
21.
Title: A Cascadic Multigrid Algorithm for Computing the Fiedler Vector of Graph Laplacians
Subjects: Numerical Analysis (math.NA)
22.
Title: Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients
Subjects: Numerical Analysis (math.NA)
23.
Title: A Nearly Optimal Multigrid Method for General Unstructured Grids
Subjects: Numerical Analysis (math.NA)
24.
Title: Stable Finite Element Methods Preserving $\nabla \cdot \boldsymbol{B} = 0$ Exactly for MHD Models
Subjects: Numerical Analysis (math.NA)
25.
Title: Preconditioning of weighted H(div)-norm and applications to numerical simulation of highly heterogeneous media
Subjects: Numerical Analysis (math.NA)
26.
Title: Well-posedness and Robust Preconditioners for the Discretized Fluid-Structure Interaction Systems
Journal-ref: Computer Methods in Applied Mechanics and Engineering 292 (2015): 69-91
Subjects: Numerical Analysis (math.NA)
27.
Title: Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous Coefficients
Authors: Jinchao Xu
Journal-ref: Natural Science Journal of Xiangtan University, No. 1, 1-5, 1982
Subjects: Numerical Analysis (math.NA)
28.
Title: Local Fourier Analysis of Multigrid Methods with Polynomial Smoothers and Aggressive coarsening
Subjects: Numerical Analysis (math.NA)
29.
Title: A Two-Level Method for Mimetic Finite Difference Discretizations of Elliptic Problems
Subjects: Numerical Analysis (math.NA)
30.
Title: Convergence and optimality of the adaptive nonconforming linear element method for the Stokes problem
Authors: Jun Hu, Jinchao Xu
Subjects: Numerical Analysis (math.NA)
31.
Title: Convergence and optimality of the adaptive Morley element method
Subjects: Numerical Analysis (math.NA)
32.
Title: An Error-Resilient Redundant Subspace Correction Method
Subjects: Numerical Analysis (math.NA); Numerical Analysis (cs.NA)
33.
Title: Space Decompositions and Solvers for Discontinuous Galerkin Methods
Subjects: Numerical Analysis (math.NA)
34.
Title: Block Triangular Preconditioning for Stochastic Galerkin Method
Subjects: Numerical Analysis (math.NA)
35.
Title: Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs
Subjects: Numerical Analysis (math.NA)
36.
Title: Visible Points in Convex Sets and Best Approximation
Subjects: Functional Analysis (math.FA); Numerical Analysis (math.NA)
37.
Title: An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes
Journal-ref: Computational and Applied Mathematics, Vol. 1, Number 92, pp. 60-69, 2005
Subjects: Numerical Analysis (math.NA)
38.
Title: A Parallel Auxiliary Grid AMG Method for GPU
Subjects: Numerical Analysis (math.NA)
39.
Title: A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Subjects: Numerical Analysis (math.NA)
40.
Title: On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems
Subjects: Numerical Analysis (math.NA)
41.
Title: Numerical Study of Geometric Multigrid Methods on CPU–GPU Heterogeneous Computers
Subjects: Numerical Analysis (math.NA); Numerical Analysis (cs.NA); Computational Physics (physics.comp-ph)
42.
Title: Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations
Subjects: Numerical Analysis (math.NA)
43.
Title: Combined Preconditioning with Applications in Reservoir Simulation
Subjects: Numerical Analysis (math.NA)
44.
Title: Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs
Subjects: Numerical Analysis (math.NA)
45.
Title: Optimal solvers for fourth-order PDEs discretized on unstructured grids
Subjects: Numerical Analysis (math.NA); Analysis of PDEs (math.AP)
46.
Title: Comparative Convergence Analysis of Nonlinear AMLI-cycle Multigrid
Subjects: Numerical Analysis (math.NA)
47.
Title: A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations
Subjects: Numerical Analysis (math.NA)
48.
Title: A Block Solver for the Exponentially Fitted IIPG-0 method
Subjects: Numerical Analysis (math.NA)
49.
Title: Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Subjects: Numerical Analysis (math.NA)
50.
Title: Lower Bounds of the Discretization for Piecewise Polynomials
Subjects: Numerical Analysis (math.NA)
Maintained by Hongxuan Zhang.