Weizhang Huang

Orcid: 0000-0002-7510-8230

Affiliations:
  • University of Kansas, Lawrence, USA


According to our database1, Weizhang Huang authored at least 63 papers between 1994 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains.
SIAM J. Sci. Comput., 2024

An efficient and provable sequential quadratic programming method for American and swing option pricing.
Eur. J. Oper. Res., 2024

Convergence analysis of iterative solution with inexact block preconditioning for weak Galerkin finite element approximation of Stokes flow.
CoRR, 2024

Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian.
CoRR, 2024

A moving mesh finite element method for Bernoulli free boundary problems.
CoRR, 2024

Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian.
CoRR, 2024

2023
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes.
J. Comput. Phys., 2023

2022
A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux II: ALE Framework.
J. Sci. Comput., 2022

A metric tensor approach to data assimilation with adaptive moving meshes.
J. Comput. Phys., 2022

A Parallel Variational Mesh Quality Improvement Method for Tetrahedral Meshes Based on the MMPDE Method.
Comput. Aided Des., 2022

2021
A High-Order Well-Balanced Positivity-Preserving Moving Mesh DG Method for the Shallow Water Equations With Non-Flat Bottom Topography.
J. Sci. Comput., 2021

Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes.
J. Comput. Appl. Math., 2021

Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations.
CoRR, 2021

A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes.
CoRR, 2021

A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux.
CoRR, 2021

Domain decomposition parabolic Monge-Ampère approach for fast generation of adaptive moving meshes.
Comput. Math. Appl., 2021

2020
High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer.
SIAM J. Sci. Comput., 2020

A surface moving mesh method based on equidistribution and alignment.
J. Comput. Phys., 2020

Anisotropic mesh quality measures and adaptation for polygonal meshes.
J. Comput. Phys., 2020

A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations.
CoRR, 2020

Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation.
CoRR, 2020

2019
Moving mesh finite difference solution of non-equilibrium radiation diffusion equations.
Numer. Algorithms, 2019

Conditioning of the finite volume element method for diffusion problems with general simplicial meshes.
Math. Comput., 2019

A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws.
J. Comput. Phys., 2019

2018
On the mesh nonsingularity of the moving mesh PDE method.
Math. Comput., 2018

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation.
J. Sci. Comput., 2018

Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration.
J. Comput. Phys., 2018

Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems.
J. Comput. Phys., 2018

A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions.
Comput. Math. Appl., 2018

2017
A study on moving mesh finite element solution of the porous medium equation.
J. Comput. Phys., 2017

A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows.
J. Comput. Phys., 2017

A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations.
Appl. Math. Comput., 2017

2016
Guidance of Multi-Agent Fixed-Wing Aircraft Using a Moving Mesh Method.
Unmanned Syst., 2016

Image Segmentation With Eigenfunctions of an Anisotropic Diffusion Operator.
IEEE Trans. Image Process., 2016

Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes.
SIAM J. Numer. Anal., 2016

A hybrid LDG-HWENO scheme for KdV-type equations.
J. Comput. Phys., 2016

A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes.
J. Comput. Appl. Math., 2016

2015
A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators.
SIAM J. Sci. Comput., 2015

A moving mesh finite difference method for equilibrium radiation diffusion equations.
J. Comput. Phys., 2015

A geometric discretization and a simple implementation for variational mesh generation and adaptation.
J. Comput. Phys., 2015

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

2014
How a Nonconvergent Recovered Hessian Works in Mesh Adaptation.
SIAM J. Numer. Anal., 2014

Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems.
Numerische Mathematik, 2014

Conditioning of finite element equations with arbitrary anisotropic meshes.
Math. Comput., 2014

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

2013
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., 2013

Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
A Moving Mesh WENO Method for One-Dimensional Conservation Laws.
SIAM J. Sci. Comput., 2012

An L<sup>inifinity</sup> stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes.
J. Comput. Appl. Math., 2012

2010
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems.
J. Comput. Phys., 2010

A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates.
J. Comput. Phys., 2010

2008
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations.
J. Comput. Phys., 2008

2005
Measuring Mesh Qualities and Application to Variational Mesh Adaptation.
SIAM J. Sci. Comput., 2005

2003
Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation.
SIAM J. Numer. Anal., 2003

Variational Mesh Adaptation Methods for Axisymmetrical Problems.
SIAM J. Numer. Anal., 2003

2002
A Moving Mesh Method Based on the Geometric Conservation Law.
SIAM J. Sci. Comput., 2002

1999
A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation.
SIAM J. Sci. Comput., 1999

1998
Pseudospectral Solution of Near-Singular Problems using Numerical Coordinate Transformations Based on Adaptivity.
SIAM J. Sci. Comput., 1998

Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems.
SIAM J. Sci. Comput., 1998

1997
The Adaptive Verlet Method.
SIAM J. Sci. Comput., 1997

1996
Moving Mesh Methods for Problems with Blow-Up.
SIAM J. Sci. Comput., 1996

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

1994
A Simple Adaptive Grid Method in Two Dimensions.
SIAM J. Sci. Comput., 1994


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