A Simple Adaptive Grid Method in Two Dimensions. - Weizhang Huang; David M. Sloan (SIAM J. Sci. Comput., 1994)

Moving Finite Elements (M. J. Baines). - Weizhang Huang (SIAM Rev., 1996)

Moving Mesh Methods for Problems with Blow-Up. - Chris J. Budd; Weizhang Huang; Robert D. Russell (SIAM J. Sci. Comput., 1996)

The Adaptive Verlet Method. - Weizhang Huang; Benedict J. Leimkuhler (SIAM J. Sci. Comput., 1997)

Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems. - Weizhang Huang; Robert D. Russell (SIAM J. Sci. Comput., 1998)

Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity. - Lawrence S. Mulholland; Weizhang Huang; David M. Sloan (SIAM J. Sci. Comput., 1998)

A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation. - Weiming Cao; Weizhang Huang; Robert D. Russell (SIAM J. Sci. Comput., 1999)

A Moving Mesh Method Based on the Geometric Conservation Law. - Weiming Cao; Weizhang Huang; Robert D. Russell (SIAM J. Sci. Comput., 2002)

Variational Mesh Adaptation Methods for Axisymmetrical Problems. - Weiming Cao; Ricardo Carretero-González; Weizhang Huang; Robert D. Russell (SIAM J. Numer. Anal., 2003)

Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation. - Weizhang Huang; Heping Ma; Weiwei Sun 002 (SIAM J. Numer. Anal., 2003)

Measuring Mesh Qualities and Application to Variational Mesh Adaptation. - Weizhang Huang (SIAM J. Sci. Comput., 2005)

A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations. - Weizhang Huang; Jingtang Ma; Robert D. Russell (J. Comput. Phys., 2008)

A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. - Weizhang Huang; Lennard Kamenski; Jens Lang 001 (J. Comput. Phys., 2010)

An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems. - Xianping Li; Weizhang Huang (J. Comput. Phys., 2010)

An Linifinity stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes. - Weizhang Huang; Forrest Schaeffer (J. Comput. Appl. Math., 2012)

A Moving Mesh WENO Method for One-Dimensional Conservation Laws. - Xiaobo Yang; Weizhang Huang; Jianxian Qiu (SIAM J. Sci. Comput., 2012)

Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations. - Weizhang Huang; Lennard Kamenski; Jens Lang 001 (ENUMATH, 2013)

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations. - Changna Lu; Weizhang Huang; Erik S. Van Vleck (J. Comput. Phys., 2013)

Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators. - Weizhang Huang (J. Comput. Phys., 2014)

Conditioning of finite element equations with arbitrary anisotropic meshes. - Lennard Kamenski; Weizhang Huang; Hongguo Xu (Math. Comput., 2014)

Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. - Changna Lu; Weizhang Huang; Jianxian Qiu (Numerische Mathematik, 2014)

How a Nonconvergent Recovered Hessian Works in Mesh Adaptation. - Lennard Kamenski; Weizhang Huang (SIAM J. Numer. Anal., 2014)

Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection-diffusion equations. - Weizhang Huang (Int. J. Comput. Math., 2015)

A geometric discretization and a simple implementation for variational mesh generation and adaptation. - Weizhang Huang; Lennard Kamenski (J. Comput. Phys., 2015)

A moving mesh finite difference method for equilibrium radiation diffusion equations. - Xiaobo Yang; Weizhang Huang; Jianxian Qiu (J. Comput. Phys., 2015)

A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators. - Jingyue Wang; Weizhang Huang (SIAM J. Sci. Comput., 2015)

A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. - Yinnian He; Weizhang Huang (J. Comput. Appl. Math., 2016)

A hybrid LDG-HWENO scheme for KdV-type equations. - Dongmi Luo; Weizhang Huang; Jianxian Qiu (J. Comput. Phys., 2016)

Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes. - Weizhang Huang; Lennard Kamenski; Jens Lang 001 (SIAM J. Numer. Anal., 2016)

Image Segmentation With Eigenfunctions of an Anisotropic Diffusion Operator. - Jingyue Wang; Weizhang Huang (IEEE Trans. Image Process., 2016)

Guidance of Multi-Agent Fixed-Wing Aircraft Using a Moving Mesh Method. - A. Ram Kim; Shawn Shahriar Keshmiri; Weizhang Huang; Gonzalo Andres Garcia (Unmanned Syst., 2016)

A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. - Xianping Li; Weizhang Huang (Appl. Math. Comput., 2017)

A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows. - Jun Bo Cheng; Weizhang Huang; Song Jiang 004; Baolin Tian (J. Comput. Phys., 2017)

A study on moving mesh finite element solution of the porous medium equation. - Cuong Ngo; Weizhang Huang (J. Comput. Phys., 2017)

A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions. - Avary Kolasinski; Weizhang Huang (Comput. Math. Appl., 2018)

Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems. - Kelsey L. DiPietro; Ronald D. Haynes; Weizhang Huang; Alan E. Lindsay; Yufei Yu (J. Comput. Phys., 2018)

Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration. - Fei Zhang; Weizhang Huang; Xianping Li; Shicheng Zhang (J. Comput. Phys., 2018)

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation. - Changna Lu; Weizhang Huang; Jianxian Qiu (J. Sci. Comput., 2018)

On the mesh nonsingularity of the moving mesh PDE method. - Weizhang Huang; Lennard Kamenski (Math. Comput., 2018)

A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. - Dongmi Luo; Weizhang Huang; Jianxian Qiu (J. Comput. Phys., 2019)

Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. - Xiang Wang; Weizhang Huang; Yonghai Li (Math. Comput., 2019)

Moving mesh finite difference solution of non-equilibrium radiation diffusion equations. - Xiaobo Yang; Weizhang Huang; Jianxian Qiu (Numer. Algorithms, 2019)

Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation. - Weizhang Huang; Weishi Liu; Yufei Yu (CoRR, 2020)

A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. - Min Zhang; Weizhang Huang; Jianxian Qiu (CoRR, 2020)

Anisotropic mesh quality measures and adaptation for polygonal meshes. - Weizhang Huang; Yanqiu Wang (J. Comput. Phys., 2020)

A surface moving mesh method based on equidistribution and alignment. - Avary Kolasinski; Weizhang Huang (J. Comput. Phys., 2020)

High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer. - Min Zhang; Weizhang Huang; Jianxian Qiu (SIAM J. Sci. Comput., 2020)

Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes. - Mohamed H. M. Sulman; Truong B. Nguyen; Ronald D. Haynes; Weizhang Huang (Comput. Math. Appl., 2021)

A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux. - Dongmi Luo; Shiyi Li; Weizhang Huang; Jianxian Qiu; Yibing Chen (CoRR, 2021)

A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. - Min Zhang; Weizhang Huang; Jianxian Qiu (CoRR, 2021)

Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. - Yinnian He; Weizhang Huang (CoRR, 2021)

Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes. - Weizhang Huang; Lennard Kamenski; Jens Lang 001 (J. Comput. Appl. Math., 2021)

A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography. - Min Zhang; Weizhang Huang; Jianxian Qiu (J. Sci. Comput., 2021)

A Parallel Variational Mesh Quality Improvement Method for Tetrahedral Meshes Based on the MMPDE Method. - Maurin Lopez; Suzanne M. Shontz; Weizhang Huang (Comput. Aided Des., 2022)

A metric tensor approach to data assimilation with adaptive moving meshes. - Cassidy Krause; Weizhang Huang; David B. Mechem; Erik S. Van Vleck; Min Zhang (J. Comput. Phys., 2022)

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework. - Dongmi Luo; Shiyi Li; Weizhang Huang; Jianxian Qiu; Yibing Chen (J. Sci. Comput., 2022)

A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. - Weizhang Huang; Ruo Li; Jianxian Qiu; Min Zhang (J. Comput. Phys., 2023)

Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian. - Jinye Shen; Bowen Shi; Weizhang Huang (CoRR, 2024)

A moving mesh finite element method for Bernoulli free boundary problems. - Jinye Shen; Heng Dai; Weizhang Huang (CoRR, 2024)

Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian. - Weizhang Huang; Jinye Shen (CoRR, 2024)

Convergence analysis of iterative solution with inexact block preconditioning for weak Galerkin finite element approximation of Stokes flow. - Weizhang Huang; Zhuoran Wang (CoRR, 2024)

Consistency enforcement for the iterative solution of weak Galerkin finite element approximation of Stokes flow. - Weizhang Huang; Zhuoran Wang (CoRR, 2024)

An efficient and provable sequential quadratic programming method for American and swing option pricing. - Jinye Shen; Weizhang Huang; Jingtang Ma (Eur. J. Oper. Res., 2024)

A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains. - Weizhang Huang; Jinye Shen (SIAM J. Sci. Comput., 2024)

A unifying moving mesh method for curves, surfaces, and domains based on mesh equidistribution and alignment. - Min Zhang; Weizhang Huang (CoRR, 2025)

Robust Adaptive Meshing, Mesh Density Functions, and Nonlocal Observations for Ensemble Based Data Assimilation. - Jeremiah Buenger; Weizhang Huang; Erik S. Van Vleck (CoRR, 2025)

A Grid-Overlay Finite Difference Method for Inhomogeneous Dirichlet Problems of the Fractional Laplacian on Arbitrary Bounded Domains. - Weizhang Huang; Jinye Shen (J. Sci. Comput., 2025)

New finite volume element schemes based on a two-layer dual strategy. - Weizhang Huang; Xiang Wang; Xinyuan Zhang (CoRR, 2025)

A general regularization strategy for singular Stokes problems and convergence analysis for corresponding discretization and iterative solution. - Weizhang Huang; Zhuoran Wang (CoRR, 2025)

Efficient parameter-robust preconditioners for linear poroelasticity and elasticity in the primal formulation. - Weizhang Huang; Zhuoran Wang (CoRR, 2025)

An inherent regularization approach to parameter-free preconditioning for nearly incompressible linear poroelasticity and elasticity. - Weizhang Huang; Zhuoran Wang (CoRR, 2025)