Weizhang Huang

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Mathematical Principles of Anisotropic Mesh Adaptation

Weizhang Huang, 2006 .

A two-dimensional moving finite element method with local refinement based on a posteriori error estimates

Weizhang Huang, R. Russell, J. Lang, 2003 .

Approaches for generating moving adaptive meshes: location versus velocity

Weizhang Huang, R. Russell, Weiming Cao, 2003 .

Moving Mesh Methods Based on Moving Mesh Partial Differential Equations

Weizhang Huang, R. Russell, Yuhe Ren, 1994 .

Moving Mesh Methods for Problems with Blow-Up

Robert D. Russell, Weizhang Huang, Chris J. Budd, 1996, SIAM J. Sci. Comput..

Moving mesh partial differential equations (MMPDES) based on the equidistribution principle

Weizhang Huang, R. Russell, Yuhe Ren, 1994 .

An error indicator monitor function for an r -adaptive finite-element method

Weizhang Huang, R. Russell, Weiming Cao, 2001 .

CONVERGENCE ANALYSIS OF FINITE ELEMENT SOLUTION OF ONE-DIMENSIONAL SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS ON EQUIDISTRIBUTING MESHES

Weizhang Huang, 2005 .

Analysis Of Moving Mesh Partial Differential Equations With Spatial Smoothing

Weizhang Huang, R. Russell, 1997 .

A moving collocation method for solving time dependent partial differential equations

Weizhang Huang, R. Russell, 1996 .

Moving Mesh Methods with Applications to Blow-up Problems for PDEs

Chris Budd, Jianping Chen, Robert D. Russell, 1995 .

Anr-Adaptive Finite Element Method Based upon Moving Mesh PDEs

Robert D. Russell, Weizhang Huang, Weiming Cao, 1999 .

A high dimensional moving mesh strategy

Weizhang Huang, R. Russell, 1998 .

Practical aspects of formulation and solution of moving mesh partial differential equations

Weizhang Huang, 2001 .

An anisotropic mesh adaptation method for the finite element solution of variational problems

Weizhang Huang, Xianping Li, Weizhang Huang, 2010 .

Control of Multi-Agent Collaborative Fixed-Wing UASs in Unstructured Environment

Weizhang Huang, S. Keshmiri, A. Blevins, 2018, 2018 International Conference on Unmanned Aircraft Systems (ICUAS).

Pole condition for singular problems: the pseudospectral approximation

Weizhang Huang, Weizhang Huang, D. M. Sloan, 1993 .

Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems

Weizhang Huang, Weizhang Huang, 2010, 1008.0562.

The pseudospectral method for third-order differential equations

Weizhang Huang, Weizhang Huang, D. M. Sloan, 1992 .

Anisotropic Mesh Adaptation and Movement

Weizhang Huang, Weizhang Huang, 2005 .

Anisotropic mesh adaptation based upon a posteriori error estimates

Weizhang Huang, J. Lang, L. Kamenski, 2009 .

A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography pdf

Jianxian Qiu, Weizhang Huang, Min Zhang, 2020, J. Sci. Comput..

Adaptive Moving Mesh Methods

Weizhang Huang, R. Russell, 2010 .

Some of the earliest work on conservative interpolation between two deformating

Weizhang Huang, J. Qiu, Min Zhang, 2019 .

Adaptive Finite Elements with Anisotropic Meshes

Weizhang Huang, J. Lang, L. Kamenski, 2012, 1201.4090.

Selection of Regularization Parameter in the Ambrosio-Tortorelli Approximation of the Mumford-Shah Functional for Image Segmentation

Weizhang Huang, Y. Yu, 2017, Numerical Mathematics: Theory, Methods and Applications.

A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes

Weizhang Huang, M. Zhang, Ruo Li, 2022, ArXiv.

A Study on Phase-Field Models for Brittle Fracture

Weizhang Huang, Shicheng Zhang, Xianping Li, 2018, 1805.07357.

Adaptive Finite Element Solution of the Porous Medium Equation in Pressure Formulation Cuong Ngo

Weizhang Huang, 2018 .

Adaptive finite element solution of the porous medium equation in pressure formulation

Weizhang Huang, C. Ngo, 2018, Numerical Methods for Partial Differential Equations.

A study on the conditioning of finite element equations with arbitrary anisotropic meshes via a density function approach

Weizhang Huang, L. Kamenski, 2013, 1302.6868.

A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes

Weizhang Huang, M. Zhang, J. Qiu, 2021, Numerical Mathematics: Theory, Methods and Applications.

Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration

Fei Zhang, Weizhang Huang, Xianping Li, 2017, J. Comput. Phys..

A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method

Ronald D. Haynes, Weizhang Huang, P. Zegeling, 2013 .

A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes

Weizhang Huang, M. Zhang, E. Vleck, 2021, J. Comput. Phys..

Anisotropic Mesh Adaptation for Variational Problems Using Error Estimation Based on Hierarchical Bases

Weizhang Huang, Lennard Kamenski, Xianping Li, 2010, 1006.0191.

Anisotropic mesh quality measures and adaptation for polygonal meshes

Weizhang Huang, Yanqiu Wang, Weizhang Huang, 2015, J. Comput. Phys..

Moving mesh finite difference solution of non-equilibrium radiation diffusion equations

Xiaobo Yang, Jianxian Qiu, Weizhang Huang, 2018, Numerical Algorithms.

A moving mesh finite difference method for equilibrium radiation diffusion equations

Xiaobo Yang, Jianxian Qiu, Weizhang Huang, 2015, J. Comput. Phys..

Adaptivity with moving grids

Robert D. Russell, Weizhang Huang, Chris Budd, 2009, Acta Numerica.

Measuring Mesh Qualities and Application to Variational Mesh Adaptation

Weizhang Huang, Weizhang Huang, 2005, SIAM J. Sci. Comput..

A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations

Weizhang Huang, Xianping Li, Weizhang Huang, 2016, Appl. Math. Comput..

A Study on Moving Mesh Finite Element Solution of Phase-Field Models for Hydraulic Fracturing

Weizhang Huang, Shicheng Zhang, Xianping Li, 2018 .

Geometric Integrators for Classical Spin Systems

Jason Frank, Benedict Leimkuhler, Weizhang Huang, 1997 .

A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows

Song Jiang, Weizhang Huang, Baolin Tian, 2017, J. Comput. Phys..

Variational mesh adaptation: isotropy and equidistribution

Weizhang Huang, Weizhang Huang, 2001 .

A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography

Jianxian Qiu, Weizhang Huang, Min Zhang, 2020, Journal of Scientific Computing.

A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation

Robert D. Russell, Weizhang Huang, Weiming Cao, 1999, SIAM J. Sci. Comput..

Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity

Weizhang Huang, Lawrence S. Mulholland, David M. Sloan, 1998, SIAM J. Sci. Comput..

A new pseudospectral method with upwind features

Weizhang Huang, Weizhang Huang, D. M. Sloan, 1993 .

Exploring the Effects of Prescribed Fire on Tick Spread and Propagation in a Spatial Setting

Weizhang Huang, F. Agusto, A. Fulk, 2022, Computational and mathematical methods in medicine.

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework

Weizhang Huang, J. Qiu, Yibing Chen, 2021, Journal of Scientific Computing.

A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux pdf

Dongmi Luo, Jianxian Qiu, Yibing Chen, 2021, ArXiv.

An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

Min Zhang, Jianxian Qiu, Weizhang Huang, 2018, Communications in Computational Physics.

A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws

Dongmi Luo, Jianxian Qiu, Weizhang Huang, 2018, J. Comput. Phys..

A hybrid LDG-HWENO scheme for KdV-type equations

Dongmi Luo, Jianxian Qiu, Weizhang Huang, 2015, J. Comput. Phys..

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations

Weizhang Huang, Changna Lu, Erik S. Van Vleck, 2012, J. Comput. Phys..

The Adaptive Verlet Method

Benedict J. Leimkuhler, Weizhang Huang, Weizhang Huang, 1997, SIAM J. Sci. Comput..

A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework

Jianxian Qiu, Yibing Chen, Weizhang Huang, 2021, Journal of Scientific Computing.

A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions

Weizhang Huang, Avary Kolasinski, Weizhang Huang, 2016, Comput. Math. Appl..

Metric tensors for anisotropic mesh generation

Weizhang Huang, Weizhang Huang, 2005 .

Conditioning of finite element equations with arbitrary anisotropic meshes

Weizhang Huang, Lennard Kamenski, Hongguo Xu, 2012, Math. Comput..

A Parallel Variational Mesh Quality Improvement Method for Tetrahedral Meshes

Suzanne Shontz, Weizhang Huang, Maurin A. Lopez Varilla, 2020 .

Adaptive moving mesh methods for simulating one‐dimensional groundwater problems with sharp moving fronts

Li Zheng, Weizhang Huang, Xiaoyong Zhan, 2002 .

High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer

Jianxian Qiu, Weizhang Huang, Min Zhang, 2019, SIAM J. Sci. Comput..

A study on moving mesh finite element solution of the porous medium equation

Weizhang Huang, Cuong Ngo, Weizhang Huang, 2016, J. Comput. Phys..

Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

Weizhang Huang, Weizhang Huang, Yanqi Wang, 2014, 1401.6232.

Variational Mesh Adaptation Methods for Axisymmetrical Problems

Robert D. Russell, Weizhang Huang, Ricardo Carretero-González, 2003, SIAM J. Numer. Anal..

A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes

Yinnian He, Weizhang Huang, Weizhang Huang, 2009, J. Comput. Appl. Math..

Adaptive mesh movement — the MMPDE approach and its applications

Robert D. Russell, Weizhang Huang, Weizhang Huang, 2001 .

Domain Decomposition Parabolic Monge-Ampère Approach for Fast Generation of Adaptive Moving Meshes pdf

Weizhang Huang, Ronald Haynes, Truong Nguyen, 2020, Comput. Math. Appl..

A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators

JINGYUE WANG, WEIZHANG HUANG, Weizhang Huang, 2014, SIAM J. Sci. Comput..

Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators

Weizhang Huang, Weizhang Huang, 2013, J. Comput. Phys..

A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains

Weizhang Huang, Jinye Shen, 2023, 2307.14437.

An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems

Weizhang Huang, Xianping Li, Weizhang Huang, 2010, J. Comput. Phys..

A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates pdf

Jens Lang, Weizhang Huang, Lennard Kamenski, 2010, J. Comput. Phys..

A Moving Mesh WENO Method for One-Dimensional Conservation Laws

Xiaobo Yang, Jianxian Qiu, Weizhang Huang, 2012, SIAM J. Sci. Comput..

A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations pdf

Jianxian Qiu, Min Zhang, Weizhang Huang, 2020, Communications in Computational Physics.

Image Segmentation With Eigenfunctions of an Anisotropic Diffusion Operator

Weizhang Huang, Jingyue Wang, Weizhang Huang, 2014, IEEE Transactions on Image Processing.

Self–similar numerical solutions of the porous–medium equation using moving mesh methods

Robert D. Russell, Weizhang Huang, Chris Budd, 1999, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations

Robert D. Russell, Weizhang Huang, Jingtang Ma, 2008, J. Comput. Phys..

Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation

Weizhang Huang, Weishi Liu, Y. Yu, 2020, Communications in Computational Physics.

Maximum principle in linear finite element approximations of anisotropic diffusion–convection–reaction problems

Jianxian Qiu, Weizhang Huang, Changna Lu, 2012, Numerische Mathematik.

Convergence of de Boor's algorithm for the generation of equidistributing meshes

Robert D. Russell, Weizhang Huang, J. F. Williams, 2011 .

Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems

Alan E. Lindsay, Weizhang Huang, Ronald D. Haynes, 2018, J. Comput. Phys..

Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes

Jens Lang, Weizhang Huang, Lennard Kamenski, 2017, J. Comput. Appl. Math..

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation

Jianxian Qiu, Weizhang Huang, Changna Lu, 2016, J. Sci. Comput..

Stability of explicit Runge--Kutta methods for finite element approximation of linear parabolic equations on anisotropic meshes

Jens Lang, Weizhang Huang, Lennard Kamenski, 2013 .

A geometric discretization and a simple implementation for variational mesh generation and adaptation

Weizhang Huang, Lennard Kamenski, Weizhang Huang, 2014, J. Comput. Phys..

Preconditioning for the Dynamic Simulation of Reaction-Transport Systems

Weizhang Huang, Kyle V. Camarda, Yuan He, 2005 .

High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer

Weizhang Huang, J. Qiu, Min Zhang, 2019, SIAM J. Sci. Comput..

Conditioning of finite element equations with arbitrary anisotropic meshes

Weizhang Huang, Hongguo Xu, L. Kamenski, 2012, Math. Comput..

Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems

Robert D. Russell, Weizhang Huang, Weizhang Huang, 1998, SIAM J. Sci. Comput..

The Adaptive Verlet Method

Weizhang Huang, B. Leimkuhler, 1997, SIAM J. Sci. Comput..