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ORCIDWeizhang Huang
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- affiliation: University of Kansas, Lawrence, USA
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2020 – today
- 2024
[j53]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): 19-35 (2024)- [j52]Weizhang Huang, Jinye Shen:
A Grid-Overlay Finite Difference Method for the Fractional Laplacian on Arbitrary Bounded Domains. SIAM J. Sci. Comput. 46(2): 744- (2024) - [i17]Jinye Shen, Bowen Shi, Weizhang Huang:
Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian. CoRR abs/2404.04407 (2024) - [i16]Jinye Shen, Heng Dai, Weizhang Huang:
A moving mesh finite element method for Bernoulli free boundary problems. CoRR abs/2404.04418 (2024) - [i15]Weizhang Huang, Jinye Shen:
Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian. CoRR abs/2407.07199 (2024) - [i14]Weizhang Huang, Zhuoran Wang:
Convergence analysis of iterative solution with inexact block preconditioning for weak Galerkin finite element approximation of Stokes flow. CoRR abs/2409.16477 (2024) - 2023
- [j51]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: 112147 (2023) - [i13]Weizhang Huang, Jinye Shen:
A grid-overlay finite difference method for the fractional Laplacian on arbitrary bounded domains. CoRR abs/2307.14437 (2023) - 2022
- [j50]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: 103242 (2022) - [j49]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: 111407 (2022) - [j48]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): 46 (2022) - [i12]Weizhang Huang, Ruo Li, Jianxian Qiu, Min Zhang:
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes. CoRR abs/2205.14560 (2022) - 2021
- [j47]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: 97-111 (2021) - [j46]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: 112497 (2021) - [j45]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): 88 (2021) - [i11]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 abs/2101.04897 (2021) - [i10]Min Zhang, Weizhang Huang, Jianxian Qiu:
A study on CFL conditions for the DG solution of conservation laws on adaptive moving meshes. CoRR abs/2106.08504 (2021) - [i9]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 abs/2109.05990 (2021) - [i8]Yinnian He, Weizhang Huang:
Mesh Sensitivity Analysis for Finite Element Solution of Linear Elliptic Partial Differential Equations. CoRR abs/2111.10935 (2021) - 2020
- [j44]Avary Kolasinski, Weizhang Huang:
A surface moving mesh method based on equidistribution and alignment. J. Comput. Phys. 403 (2020) - [j43]Weizhang Huang, Yanqiu Wang:
Anisotropic mesh quality measures and adaptation for polygonal meshes. J. Comput. Phys. 410: 109368 (2020) - [j42]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): A3109-A3135 (2020) - [i7]Weizhang Huang, Weishi Liu, Yufei Yu:
Permanent charge effects on ionic flow: a numerical study of flux ratios and their bifurcation. CoRR abs/2003.11223 (2020) - [i6]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 abs/2006.14602 (2020) - [i5]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 abs/2006.15187 (2020) - [i4]Min Zhang, Weizhang Huang, Jianxian Qiu:
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. CoRR abs/2008.11594 (2020)
2010 – 2019
- 2019
- [j41]Dongmi Luo, Weizhang Huang, Jianxian Qiu:
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. J. Comput. Phys. 396: 544-578 (2019) - [j40]Xiang Wang, Weizhang Huang, Yonghai Li:
Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. Math. Comput. 88(320): 2665-2696 (2019) - [j39]Xiaobo Yang, Weizhang Huang, Jianxian Qiu:
Moving mesh finite difference solution of non-equilibrium radiation diffusion equations. Numer. Algorithms 82(4): 1409-1440 (2019) - [i3]Weizhang Huang, Lennard Kamenski, Jens Lang:
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. CoRR abs/1908.04242 (2019) - [i2]Weizhang Huang, Lennard Kamenski, Jens Lang:
Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations. CoRR abs/1908.05374 (2019) - [i1]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 abs/1910.11931 (2019) - 2018
- [j38]Avary Kolasinski, Weizhang Huang:
A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions. Comput. Math. Appl. 75(6): 2044-2058 (2018) - [j37]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: 127-149 (2018) - [j36]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: 763-782 (2018) - [j35]Changna Lu, Weizhang Huang, Jianxian Qiu:
An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation. J. Sci. Comput. 74(1): 122-144 (2018) - [j34]Weizhang Huang, Lennard Kamenski:
On the mesh nonsingularity of the moving mesh PDE method. Math. Comput. 87(312): 1887-1911 (2018) - 2017
- [j33]Xianping Li, Weizhang Huang:
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Appl. Math. Comput. 309: 49-67 (2017) - [j32]Cuong Ngo, Weizhang Huang:
A study on moving mesh finite element solution of the porous medium equation. J. Comput. Phys. 331: 357-380 (2017) - [j31]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: 137-153 (2017) - 2016
- [j30]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: 101-126 (2016) - [j29]Dongmi Luo, Weizhang Huang, Jianxian Qiu:
A hybrid LDG-HWENO scheme for KdV-type equations. J. Comput. Phys. 313: 754-774 (2016) - [j28]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): 1612-1634 (2016) - [j27]Jingyue Wang, Weizhang Huang:
Image Segmentation With Eigenfunctions of an Anisotropic Diffusion Operator. IEEE Trans. Image Process. 25(5): 2155-2167 (2016) - [j26]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): 227-244 (2016) - 2015
- [j25]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): 1180-1203 (2015) - [j24]Xiaobo Yang, Weizhang Huang, Jianxian Qiu:
A moving mesh finite difference method for equilibrium radiation diffusion equations. J. Comput. Phys. 298: 661-677 (2015) - [j23]Weizhang Huang, Lennard Kamenski:
A geometric discretization and a simple implementation for variational mesh generation and adaptation. J. Comput. Phys. 301: 322-337 (2015) - [j22]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) - 2014
- [j21]Weizhang Huang:
Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators. J. Comput. Phys. 274: 230-244 (2014) - [j20]Lennard Kamenski, Weizhang Huang, Hongguo Xu:
Conditioning of finite element equations with arbitrary anisotropic meshes. Math. Comput. 83(289): 2187-2211 (2014) - [j19]Changna Lu, Weizhang Huang, Jianxian Qiu:
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Numerische Mathematik 127(3): 515-537 (2014) - [j18]Lennard Kamenski, Weizhang Huang:
How a Nonconvergent Recovered Hessian Works in Mesh Adaptation. SIAM J. Numer. Anal. 52(4): 1692-1708 (2014) - 2013
- [j17]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: 24-36 (2013) - [c1]Weizhang Huang, Lennard Kamenski, Jens Lang:
Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations. ENUMATH 2013: 165-173 - 2012
- [j16]Weizhang Huang, Forrest Schaeffer:
An Linifinity stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes. J. Comput. Appl. Math. 236(13): 3338-3348 (2012) - [j15]Xiaobo Yang, Weizhang Huang, Jianxian Qiu:
A Moving Mesh WENO Method for One-Dimensional Conservation Laws. SIAM J. Sci. Comput. 34(4) (2012) - 2010
- [j14]Weizhang Huang, Lennard Kamenski, Jens Lang:
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. J. Comput. Phys. 229(6): 2179-2198 (2010) - [j13]Xianping Li, Weizhang Huang:
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems. J. Comput. Phys. 229(21): 8072-8094 (2010)
2000 – 2009
- 2008
- [j12]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): 6532-6552 (2008) - 2005
- [j11]Weizhang Huang:
Measuring Mesh Qualities and Application to Variational Mesh Adaptation. SIAM J. Sci. Comput. 26(5): 1643-1666 (2005) - 2003
- [j10]Weiming Cao, Ricardo Carretero-González, Weizhang Huang, Robert D. Russell:
Variational Mesh Adaptation Methods for Axisymmetrical Problems. SIAM J. Numer. Anal. 41(1): 235-257 (2003) - [j9]Weizhang Huang, Heping Ma, Weiwei Sun:
Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation. SIAM J. Numer. Anal. 41(6): 2333-2349 (2003) - 2002
- [j8]Weiming Cao, Weizhang Huang, Robert D. Russell:
A Moving Mesh Method Based on the Geometric Conservation Law. SIAM J. Sci. Comput. 24(1): 118-142 (2002)
1990 – 1999
- 1999
- [j7]Weiming Cao, Weizhang Huang, Robert D. Russell:
A Study of Monitor Functions for Two-Dimensional Adaptive Mesh Generation. SIAM J. Sci. Comput. 20(6): 1978-1994 (1999) - 1998
- [j6]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): 1261-1289 (1998) - [j5]Weizhang Huang, Robert D. Russell:
Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems. SIAM J. Sci. Comput. 20(3): 998-1015 (1998) - 1997
- [j4]Weizhang Huang, Benedict J. Leimkuhler:
The Adaptive Verlet Method. SIAM J. Sci. Comput. 18(1): 239-256 (1997) - 1996
- [j3]Weizhang Huang:
Moving Finite Elements (M. J. Baines). SIAM Rev. 38(3): 530-531 (1996) - [j2]Chris J. Budd, Weizhang Huang, Robert D. Russell:
Moving Mesh Methods for Problems with Blow-Up. SIAM J. Sci. Comput. 17(2): 305-327 (1996) - 1994
- [j1]Weizhang Huang, David M. Sloan:
A Simple Adaptive Grid Method in Two Dimensions. SIAM J. Sci. Comput. 15(4): 776-797 (1994)
Coauthor Index
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