2025
A cascaded FAS-UNet+ framework with iterative optimization strategy for segmentation of organs at risk.
Medical Biol. Eng. Comput., February, 2025
A BDDC method for three-dimensional advection-diffusion problems with an adaptive coarse space.
CoRR, January, 2025
Two-relaxation-time regularized lattice Boltzmann model for convection-diffusion equation with spatially dependent coefficients.
Appl. Math. Comput., 2025
2024
A monotone finite volume element scheme for diffusion equations on arbitrary polygonal grids.
Comput. Math. Appl., January, 2024
Momentum-Accelerated Richardson(m) and Their Multilevel Neural Solvers.
CoRR, 2024
Convergence Framework of Deep Learning-based Hybrid Iterative Methods and the Application to Designing a Fourier Neural Solver for Parametric PDEs.
CoRR, 2024
A Neural Multigrid Solver for Helmholtz Equations with High Wavenumber and Heterogeneous Media.
CoRR, 2024
2023
An improved multistage preconditioner on GPUs for compositional reservoir simulation.
CCF Trans. High Perform. Comput., June, 2023
JXPAMG: a parallel algebraic multigrid solver for extreme-scale numerical simulations.
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CCF Trans. High Perform. Comput., March, 2023
Fast Algorithms for Finite Element nonlinear Discrete Systems to Solve the PNP Equations.
CoRR, 2023
Two-relaxation-time regularized lattice Boltzmann model for convection-diffusion equation with variable coefficients.
CoRR, 2023
The Existence the Solution of Nonlinear Discrete Schemes and Convergence of a Linearized Iterative Method for time-dependent PNP Equations.
CoRR, 2023
Error Analysis of Virtual Element Method for the Poisson-Boltzmann Equation.
CoRR, 2023
2022
Covering Radius of the Reed-Muller Code RM(3,7) in RM(5,7).
Dataset, May, 2022
Two-level Overlapping Schwarz Methods Based on Local Generalized Eigenproblems for Hermitian Variational Problems.
SIAM J. Sci. Comput., 2022
Local averaging type a posteriori error estimates for the nonlinear steady-state Poisson-Nernst-Planck equations.
J. Comput. Appl. Math., 2022
A novel monotone finite volume element scheme for diffusion equations.
J. Comput. Appl. Math., 2022
Parallel multi-stage preconditioners with adaptive setup for the black oil model.
Comput. Geosci., 2022
FAS-UNet: A Novel FAS-driven Unet to Learn Variational Image Segmentation.
CoRR, 2022
Fourier Neural Solver for large sparse linear algebraic systems.
CoRR, 2022
An Improved Multi-Stage Preconditioner on GPUs for Compositional Reservoir Simulation.
CoRR, 2022
Error Analysis of Virtual Element Methods for the Time-dependent Poisson-Nernst-Planck Equations.
CoRR, 2022
2021
Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems.
J. Comput. Appl. Math., 2021
Solving time-dependent parametric PDEs by multiclass classification-based reduced order model.
CoRR, 2021
A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems.
Comput. Math. Appl., 2021
A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes.
Comput. Math. Appl., 2021
2020
A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations.
Numer. Algorithms, 2020
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations.
CoRR, 2020
αSetup-AMG: an adaptive-setup-based parallel AMG solver for sequence of sparse linear systems.
CCF Trans. High Perform. Comput., 2020
Analytical and numerical dissipativity of neutral functional differential equations.
Appl. Math. Lett., 2020
2019
The Covering Radius of the Reed-Muller Code <i>R</i>(3, 7) in <i>R</i>(5, 7) Is 20.
IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2019
SVGD: A Virtual Gradients Descent Method for Stochastic Optimization.
CoRR, 2019
A parallel-in-time multigrid solver with a new two-level convergence for two-dimensional unsteady fractional Laplacian problems.
CoRR, 2019
Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations.
Comput. Math. Appl., 2019
Space-time finite element method for the multi-term time-space fractional diffusion equation on a two-dimensional domain.
Comput. Math. Appl., 2019
2018
An adaptive BDDC algorithm in variational form for mortar discretizations.
J. Comput. Appl. Math., 2018
2017
Superconvergence and asymptotic expansions for bilinear finite volume element approximation on non-uniform grids.
J. Comput. Appl. Math., 2017
On the Network Analysis of the State Space of Discrete Dynamical Systems.
Int. J. Bifurc. Chaos, 2017
Error estimates on a finite volume method for diffusion problems with interface on rectangular grids.
Appl. Math. Comput., 2017
2016
Lattice Boltzmann flux scheme for the convection-diffusion equation and its applications.
Comput. Math. Appl., 2016
A distributed algorithm for inter-layer network coding-based multimedia multicast in Internet of Things.
Comput. Electr. Eng., 2016
2015
An efficient algebraic multigrid method for quadratic discretizations of linear elasticity problems on some typical anisotropic meshes in three dimensions.
Numer. Linear Algebra Appl., 2015
Simulation of steady fluid-solid conjugate heat transfer problems via immersed boundary-lattice Boltzmann method.
Comput. Math. Appl., 2015
BPX-Like Preconditioned Conjugate Gradient Solvers for Poisson Problem and Their CUDA Implementations.
Proceedings of the Information Technology and Intelligent Transportation Systems, 2015
Accelerating Reservoir Simulation on Multi-core and Many-Core Architectures with Graph Coloring ILU(k).
Proceedings of the Information Technology and Intelligent Transportation Systems, 2015
2014
Two-Grid Methods for Maxwell Eigenvalue Problems.
SIAM J. Numer. Anal., 2014
A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow.
Comput. Math. Appl., 2014
An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using an iterative technique.
Comput. Math. Appl., 2014
A high order composite scheme for the second order elliptic problem with nonlocal boundary and its fast algorithm.
Appl. Math. Comput., 2014
2013
A Substructuring Preconditioner for Three-Dimensional Maxwell's Equations.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
A discrete weighted Helmholtz decomposition and its application.
Numerische Mathematik, 2013
Two-grid methods for time-harmonic Maxwell equations.
Numer. Linear Algebra Appl., 2013
Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations.
Comput. Math. Appl., 2013
Superconvergence and asymptotic expansion for semidiscrete bilinear finite volume element approximation of the parabolic problem.
Comput. Math. Appl., 2013
2012
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations.
Math. Comput., 2012
Multilevel preconditioning for the finite volume method.
Math. Comput., 2012
Cryptanalyzing a chaos-based image encryption algorithm using alternate structure.
J. Syst. Softw., 2012
Numerical Study of Geometric Multigrid Methods on CPU--GPU Heterogeneous Computers
CoRR, 2012
The parallel generation of 2-D Hilbert Space-filling Curve on GPU.
Proceedings of the 5th International Conference on BioMedical Engineering and Informatics, 2012
Prototyping Efficient Desktop-as-a-Service for FPGA Based Cloud Computing Architecture.
Proceedings of the 2012 IEEE Fifth International Conference on Cloud Computing, 2012
2011
A robust preconditioner for higher order finite element discretizations in linear elasticity.
Numer. Linear Algebra Appl., 2011
Breaking a chaotic image encryption algorithm based on perceptron model
CoRR, 2011
2010
Convergence of adaptive edge finite element methods for <i>H</i>(curl)-elliptic problems.
Numer. Linear Algebra Appl., 2010
Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems.
Math. Comput., 2010
2009
A geometric-based algebraic multigrid method for higher-order finite element equations in two-dimensional linear elasticity.
Numer. Linear Algebra Appl., 2009
2008
Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials.
SIAM J. Sci. Comput., 2008
A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations.
Math. Comput., 2008
Robust Feature Extraction for the Composite Surface Mesh from STL File.
Proceedings of the 9th International Conference for Young Computer Scientists, 2008
2007
Algebraic multigrid methods for elastic structures with highly discontinuous coefficients.
Math. Comput. Simul., 2007
Some new discretization and adaptation and multigrid methods for 2-D 3-T diffusion equations.
J. Comput. Phys., 2007
2006
A two-grid discretization method for decoupling systems of partial differential equations.
Math. Comput., 2006
An application of multigrid methods for a discrete elastic model for epitaxial systems.
J. Comput. Phys., 2006
An Algebraic Multigrid Method for Higher-order Finite Element Discretizations.
Computing, 2006
An algebraic multigrid method for finite element systems on criss-cross grids.
Adv. Comput. Math., 2006
HW/SW Co-Design and Implementation of Multi-Standard Video Decoding.
Proceedings of the 2006 4th Workshop on Embedded Systems for Real-Time Multimedia, 2006