Weizhang Huang

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 44

Top Topics

Conservation Laws

Mesh Generation

Diffusion Equation

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Publications

Weizhang Huang, Jinye Shen
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains. SIAM J. Sci. Comput. 46 (2) (2024)
Weizhang Huang, Jinye Shen
Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian. CoRR (2024)
Jinye Shen, Heng Dai, Weizhang Huang
A moving mesh finite element method for Bernoulli free boundary problems. CoRR (2024)
Jinye Shen, Bowen Shi, Weizhang Huang
Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian. CoRR (2024)
Jinye Shen, Weizhang Huang, Jingtang Ma
An efficient and provable sequential quadratic programming method for American and swing option pricing. Eur. J. Oper. Res. 316 (1) (2024)
Weizhang Huang, Jinye Shen
A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains. CoRR (2023)
Weizhang Huang, Ruo Li, Jianxian Qiu, Min Zhang
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. J. Comput. Phys. 487 (2023)
Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang
A metric tensor approach to data assimilation with adaptive moving meshes. J. Comput. Phys. 466 (2022)
Weizhang Huang, Ruo Li, Jianxian Qiu, Min Zhang
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. CoRR (2022)
Dongmi Luo, Shiyi Li, Weizhang Huang, Jianxian Qiu, Yibing Chen
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework. J. Sci. Comput. 90 (1) (2022)
Maurin Lopez, Suzanne M. Shontz, Weizhang Huang
A Parallel Variational Mesh Quality Improvement Method for Tetrahedral Meshes Based on the MMPDE Method. Comput. Aided Des. 148 (2022)
Cassidy Krause, Weizhang Huang, David B. Mechem, Erik S. Van Vleck, Min Zhang
A Metric Tensor Approach to Data Assimilation with Adaptive Moving Meshes. CoRR (2021)
Yinnian He, Weizhang Huang
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. CoRR (2021)
Mohamed H. M. Sulman, Truong B. Nguyen, Ronald D. Haynes, Weizhang Huang
Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes. Comput. Math. Appl. 84 (2021)
Min Zhang, Weizhang Huang, Jianxian Qiu
A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography. J. Sci. Comput. 87 (3) (2021)
Dongmi Luo, Shiyi Li, Weizhang Huang, Jianxian Qiu, Yibing Chen
A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux. CoRR (2021)
Weizhang Huang, Lennard Kamenski, Jens Lang
Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes. J. Comput. Appl. Math. 387 (2021)
Min Zhang, Weizhang Huang, Jianxian Qiu
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. CoRR (2021)
Min Zhang, Weizhang Huang, Jianxian Qiu
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. CoRR (2020)
Min Zhang, Weizhang Huang, Jianxian Qiu
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. CoRR (2020)
Weizhang Huang, Yanqiu Wang
Anisotropic mesh quality measures and adaptation for polygonal meshes. J. Comput. Phys. 410 (2020)
Avary Kolasinski, Weizhang Huang
A surface moving mesh method based on equidistribution and alignment. J. Comput. Phys. 403 (2020)
Weizhang Huang, Weishi Liu, Yufei Yu
Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation. CoRR (2020)
Mohamed H. M. Sulman, Truong B. Nguyen, Ronald D. Haynes, Weizhang Huang
Domain Decomposition Parabolic Monge-Ampère Approach for Fast Generation of Adaptive Moving Meshes. CoRR (2020)
Min Zhang, Weizhang Huang, Jianxian Qiu
High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer. SIAM J. Sci. Comput. 42 (5) (2020)
Xiaobo Yang, Weizhang Huang, Jianxian Qiu
Moving mesh finite difference solution of non-equilibrium radiation diffusion equations. Numer. Algorithms 82 (4) (2019)
Weizhang Huang, Lennard Kamenski, Jens Lang
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. CoRR (2019)
Xiang Wang, Weizhang Huang, Yonghai Li
Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. Math. Comput. 88 (320) (2019)
Min Zhang, Weizhang Huang, Jianxian Qiu
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. CoRR (2019)
Dongmi Luo, Weizhang Huang, Jianxian Qiu
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. J. Comput. Phys. 396 (2019)
Weizhang Huang, Lennard Kamenski, Jens Lang
Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations. CoRR (2019)
Avary Kolasinski, Weizhang Huang
A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions. Comput. Math. Appl. 75 (6) (2018)
Weizhang Huang, Lennard Kamenski
On the mesh nonsingularity of the moving mesh PDE method. Math. Comput. 87 (312) (2018)
Kelsey L. DiPietro, Ronald D. Haynes, Weizhang Huang, Alan E. Lindsay, Yufei Yu
Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems. J. Comput. Phys. 375 (2018)
Changna Lu, Weizhang Huang, Jianxian Qiu
An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation. J. Sci. Comput. 74 (1) (2018)
Fei Zhang, Weizhang Huang, Xianping Li, Shicheng Zhang
Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration. J. Comput. Phys. 356 (2018)
Xianping Li, Weizhang Huang
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Appl. Math. Comput. 309 (2017)
Cuong Ngo, Weizhang Huang
A study on moving mesh finite element solution of the porous medium equation. J. Comput. Phys. 331 (2017)
Jun Bo Cheng, Weizhang Huang, Song Jiang, Baolin Tian
A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows. J. Comput. Phys. 349 (2017)
Dongmi Luo, Weizhang Huang, Jianxian Qiu
A hybrid LDG-HWENO scheme for KdV-type equations. J. Comput. Phys. 313 (2016)
Jingyue Wang, Weizhang Huang
Image Segmentation With Eigenfunctions of an Anisotropic Diffusion Operator. IEEE Trans. Image Process. 25 (5) (2016)
Weizhang Huang, Lennard Kamenski, Jens Lang
Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes. SIAM J. Numer. Anal. 54 (3) (2016)
A. Ram Kim, Shawn Shahriar Keshmiri, Weizhang Huang, Gonzalo Andres Garcia
Guidance of Multi-Agent Fixed-Wing Aircraft Using a Moving Mesh Method. Unmanned Syst. 4 (3) (2016)
Yinnian He, Weizhang Huang
A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. J. Comput. Appl. Math. 299 (2016)
Xiaobo Yang, Weizhang Huang, Jianxian Qiu
A moving mesh finite difference method for equilibrium radiation diffusion equations. J. Comput. Phys. 298 (2015)
Jingyue Wang, Weizhang Huang
A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators. SIAM J. Sci. Comput. 37 (6) (2015)
Weizhang Huang
Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection-diffusion equations. Int. J. Comput. Math. 92 (6) (2015)
Weizhang Huang, Lennard Kamenski
A geometric discretization and a simple implementation for variational mesh generation and adaptation. J. Comput. Phys. 301 (2015)
Lennard Kamenski, Weizhang Huang
How a Nonconvergent Recovered Hessian Works in Mesh Adaptation. SIAM J. Numer. Anal. 52 (4) (2014)
Weizhang Huang
Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators. J. Comput. Phys. 274 (2014)
Lennard Kamenski, Weizhang Huang, Hongguo Xu
Conditioning of finite element equations with arbitrary anisotropic meshes. Math. Comput. 83 (289) (2014)
Changna Lu, Weizhang Huang, Jianxian Qiu
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Numerische Mathematik 127 (3) (2014)
Changna Lu, Weizhang Huang, Erik S. Van Vleck
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations. J. Comput. Phys. 242 (2013)
Weizhang Huang, Lennard Kamenski, Jens Lang
Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations. ENUMATH (2013)
Weizhang Huang, Forrest Schaeffer
stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes. J. Comput. Appl. Math. 236 (13) (2012)
Xiaobo Yang, Weizhang Huang, Jianxian Qiu
A Moving Mesh WENO Method for One-Dimensional Conservation Laws. SIAM J. Sci. Comput. 34 (4) (2012)
Xianping Li, Weizhang Huang
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems. J. Comput. Phys. 229 (21) (2010)
Weizhang Huang, Lennard Kamenski, Jens Lang
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. J. Comput. Phys. 229 (6) (2010)
Weizhang Huang, Jingtang Ma, Robert D. Russell
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations. J. Comput. Phys. 227 (13) (2008)
Weizhang Huang
Measuring Mesh Qualities and Application to Variational Mesh Adaptation. SIAM J. Sci. Comput. 26 (5) (2005)
Weizhang Huang, Heping Ma, Weiwei Sun
Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation. SIAM J. Numer. Anal. 41 (6) (2003)
Weiming Cao, Ricardo Carretero-González, Weizhang Huang, Robert D. Russell
Variational Mesh Adaptation Methods for Axisymmetrical Problems. SIAM J. Numer. Anal. 41 (1) (2003)
Weiming Cao, Weizhang Huang, Robert D. Russell
A Moving Mesh Method Based on the Geometric Conservation Law. SIAM J. Sci. Comput. 24 (1) (2002)
Weiming Cao, Weizhang Huang, Robert D. Russell
A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation. SIAM J. Sci. Comput. 20 (6) (1999)
Weizhang Huang, Robert D. Russell
Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems. SIAM J. Sci. Comput. 20 (3) (1998)
Lawrence S. Mulholland, Weizhang Huang, David M. Sloan
Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity. SIAM J. Sci. Comput. 19 (4) (1998)
Weizhang Huang, Benedict J. Leimkuhler
The Adaptive Verlet Method. SIAM J. Sci. Comput. 18 (1) (1997)
Weizhang Huang
Moving Finite Elements (M. J. Baines). SIAM Rev. 38 (3) (1996)
Chris J. Budd, Weizhang Huang, Robert D. Russell
Moving Mesh Methods for Problems with Blow-Up. SIAM J. Sci. Comput. 17 (2) (1996)
Weizhang Huang, David M. Sloan
A Simple Adaptive Grid Method in Two Dimensions. SIAM J. Sci. Comput. 15 (4) (1994)