Huang, Weizhang

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 Author ID: huang.weizhang Published as: Huang, Weizhang; Huang, W.; Huang, W. Z.; Huang, W.-Z. more...less Homepage: http://www.math.ku.edu/~huang/ External Links: MGP · ORCID · ResearchGate · dblp
 Documents Indexed: 107 Publications since 1991, including 1 Book Co-Authors: 46 Co-Authors with 81 Joint Publications 1,261 Co-Co-Authors
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Co-Authors

 14 single-authored 28 Russell, Robert D. 12 Kamenski, Lennard 12 Qiu, Jianxian 10 Cao, Weiming 6 Lang, Jens 6 Li, Xianping 6 Sloan, David M. 4 Budd, Christopher John 4 Haynes, Ronald D. 3 Lu, Changna 3 Luo, Dongmi 3 Ngo, Cuong 3 Sun, Weiwei 3 Yang, Xiaobo 3 Yu, Yufei 2 Kolasinski, Avary 2 Leimkuhler, Benedict J. 2 Ma, Jingtang 2 Ren, Yuhe 2 Van Vleck, Erik S. 2 Wang, Jingyue 2 Wang, Yanqiu 2 Zhan, Xiaoyong 1 Carretero-González, Ricardo 1 Chen, Jianping 1 Chen, Yibing 1 Cheng, Juan 1 Cheng, Junbo 1 Collins, G. J. 1 DiPietro, Kelsey L. 1 Frank, Jason 1 He, Yinnian 1 Jiang, Song 1 Krause, Cassidy 1 Li, Jiachun 1 Li, Shiyi 1 Li, Yonghai 1 Lin, Zongchi 1 Lindsay, Alan E. 1 Liu, Weishi 1 Ma, Heping 1 Mechem, David B. 1 Mulholland, L. S. 1 Schaeffer, Forrest 1 Sladek, Jan 1 Sladek, Vladimir 1 Sulman, Mohamed H. M. 1 Tang, Tao 1 Tian, Baolin 1 Wang, Xiang 1 Wen, Pihua 1 Xie, Zuoheng 1 Xu, Hongguo 1 Zegeling, Paul Andries 1 Zhang, Fei 1 Zhang, Shicheng 1 Zhang, Suochun 1 Zheng, Li
all top 5

Serials

 27 Journal of Computational Physics 11 SIAM Journal on Scientific Computing 8 SIAM Journal on Numerical Analysis 6 Communications in Computational Physics 5 Applied Numerical Mathematics 4 Journal of Computational and Applied Mathematics 4 Numerical Mathematics: Theory, Methods and Applications 3 Mathematics of Computation 3 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Applied Mathematics and Computation 2 Acta Mathematicae Applicatae Sinica 2 Chinese Science Bulletin 2 Journal of Mathematical Study 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Siberian Mathematical Journal 1 Applied Mathematics and Mechanics. (English Edition) 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 The Canadian Applied Mathematics Quarterly 1 Engineering Analysis with Boundary Elements 1 Journal of Fujian Normal University. Natural Science 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 IEEE Transactions on Image Processing 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Applied Mathematical Sciences 1 Science China. Mathematics
all top 5

Fields

 95 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 10 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

88 Publications have been cited 1,783 times in 814 Documents Cited by Year
Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle. Zbl 0806.65092
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
1994
Adaptive moving mesh methods. Zbl 1227.65090
Huang, Weizhang; Russell, Robert D.
2011
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
2009
Moving mesh methods based on moving mesh partial differential equations. Zbl 0807.65101
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
1994
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
1996
An $$r$$-adaptive finite element method based upon moving mesh PDEs. Zbl 0923.65062
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
Moving mesh strategy based on a gradient flow equation for two-dimensional problems. Zbl 0956.76076
Huang, Weizhang; Russell, Robert D.
1999
A study of monitor functions for two-dimensional adaptive mesh generation. Zbl 0937.65104
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
Variational mesh adaptation: Isotropy and equidistribution. Zbl 0991.65131
Huang, Weizhang
2001
Practical aspects of formulation and solution of moving mesh partial differential equations. Zbl 0990.65107
Huang, Weizhang
2001
Metric tensors for anisotropic mesh generation. Zbl 1067.65140
Huang, Weizhang
2005
Variational mesh adaptation. II: Error estimates and monitor functions. Zbl 1018.65140
Huang, Weizhang; Sun, Weiwei
2003
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang
2006
Analysis of moving mesh partial differential equations with spatial smoothing. Zbl 0874.65071
Huang, Weizhang; Russell, Robert D.
1997
A simple adaptive grid method in two dimensions. Zbl 0809.65096
Huang, Weizhang; Sloan, David M.
1994
Pole condition for singular problems: The pseudospectral approximation. Zbl 0785.65091
Huang, Weizhang; Sloan, David M.
1993
A moving collocation method for solving time dependent partial differential equations. Zbl 0859.65112
Huang, Weizhang; Russell, Robert D.
1996
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations. Zbl 1145.65080
Huang, Weizhang; Ma, Jingtang; Russell, Robert D.
2008
Pseudospectral solution of near-singular problems using numerical coordinate transformations based on adaptivity. Zbl 0913.65101
Mulholland, L. S.; Huang, W.-Z.; Sloan, D. M.
1998
The pseudospectral method for third-order differential equations. Zbl 0764.65058
Huang, Weizhang; Sloan, David M.
1992
A high dimensional moving mesh strategy. Zbl 0890.65101
Huang, Weizhang; Russell, Robert D.
1998
A moving mesh method based on the geometric conservation law. Zbl 1016.65066
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2002
Measuring mesh qualities and application to variational mesh adaptation. Zbl 1076.65110
Huang, Weizhang
2005
Convergence of de Boor’s algorithm for the generation of equidistributing meshes. Zbl 1228.65027
Xu, X.; Huang, W.; Russell, R. D.; Williams, J. F.
2011
The adaptive Verlet method. Zbl 0877.65048
Huang, Weizhang; Leimkuhler, Benedict
1997
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems. Zbl 1198.65227
Li, Xianping; Huang, Weizhang
2010
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations. Zbl 1297.65097
Lu, Changna; Huang, Weizhang; Van Vleck, Erik S.
2013
On the mesh nonsingularity of the moving mesh PDE method. Zbl 1447.65172
Huang, Weizhang; Kamenski, Lennard
2018
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Zbl 1300.65088
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2014
A geometric discretization and a simple implementation for variational mesh generation and adaptation. Zbl 1349.65664
Huang, Weizhang; Kamenski, Lennard
2015
The pseudospectral method for solving differential eigenvalue problems. Zbl 0799.65091
Huang, Weizhang; Sloan, David M.
1994
Self-similar numerical solutions of the porous-medium equation using moving mesh methods. Zbl 0931.76079
Budd, C. J.; Collins, G. J.; Huang, W. Z.; Russell, R. D.
1999
Conditioning of finite element equations with arbitrary anisotropic meshes. Zbl 1303.65097
Kamenski, Lennard; Huang, Weizhang; Xu, Hongguo
2014
Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems. Zbl 1265.65199
Huang, Weizhang
2011
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates. Zbl 1022.65107
Lang, Jens; Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2003
Discrete maximum principle for the weak Galerkin method for anisotropic diffusion problems. Zbl 1388.65151
Huang, Weizhang; Wang, Yanqiu
2015
A study on moving mesh finite element solution of the porous medium equation. Zbl 1378.76110
Ngo, Cuong; Huang, Weizhang
2017
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. Zbl 1185.65221
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2010
Adaptive mesh movements – the MMPDE approach and its applications. Zbl 0971.65088
Huang, Weizhang; Russell, Robert D.
2001
Geometric integrators for classical spin systems. Zbl 0878.65110
Frank, Jason; Huang, Weizhang; Leimkuhler, Benedict
1997
Approaches for generating moving adaptive meshes: Location versus velocity. Zbl 1031.65109
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2003
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
2003
Moving mesh methods with applications to blow-up problems for PDEs. Zbl 0843.65065
Budd, C. J.; Chen, Jianping; Huang, W.; Russell, R. D.
1996
A moving mesh WENO method for one-dimensional conservation laws. Zbl 1253.65133
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2012
How a nonconvergent recovered Hessian works in mesh adaptation. Zbl 1303.65101
Kamenski, Lennard; Huang, Weizhang
2014
An error indicator monitor function for an $$r$$-adaptive finite-element method. Zbl 0986.65082
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2001
Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton’s iteration. Zbl 1380.74107
Zhang, Fei; Huang, Weizhang; Li, Xianping; Zhang, Shicheng
2018
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1452.65243
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2019
An adaptive moving mesh finite element solution of the regularized long wave equation. Zbl 1383.65125
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2018
Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators. Zbl 1352.65511
Huang, Weizhang
2014
Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems. Zbl 1307.65134
Li, Xianping; Huang, Weizhang
2013
Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes. Zbl 1339.65173
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2016
Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts. Zbl 1098.76052
Huang, Weizhang; Zheng, Li; Zhan, Xiaoyong
2002
Comparison of two-dimensional $$r$$-adaptive finite element methods using various error indicators. Zbl 0984.65099
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2001
Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. Zbl 0863.65072
Sun, Weiwei; Huang, Weizhang; Russell, Robert D.
1996
A moving mesh finite difference method for equilibrium radiation diffusion equations. Zbl 1349.65352
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2015
A hybrid LDG-HWENO scheme for KdV-type equations. Zbl 1349.65464
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2016
A moving mesh method in multiblock domains with application to a combustion problem. Zbl 0972.80011
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. Zbl 1454.65122
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2020
Analysis of a moving collocation method for one-dimensional partial differential equations. Zbl 1245.65138
Ma, Jingtang; Huang, Weizhang; Russell, Robert D.
2012
Convergence analysis of finite element solution of one-dimensional singularly perturbed differential equations on equidistributing meshes. Zbl 1078.65069
Huang, Weizhang
2005
A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. Zbl 1333.65090
He, Yinnian; Huang, Weizhang
2016
A new pseudospectral method with upwind features. Zbl 0797.65057
Huang, Weizhang; Sloan, David M.
1993
A numerical study of blowup in the harmonic map heat flow using the MMPDE moving mesh method. Zbl 1289.65178
Haynes, Ronald D.; Huang, Weizhang; Zegeling, Paul A.
2013
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. Zbl 1476.65226
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2021
Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations. Zbl 1328.65208
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2015
A study on the conditioning of finite element equations with arbitrary anisotropic meshes via a density function approach. Zbl 1313.65306
Kamenski, Lennard; Huang, Weizhang
2014
A comparative numerical study of meshing functionals for variational mesh adaptation. Zbl 1349.65421
Huang, Weizhang; Kamenski, Lennard; Russell, Robert D.
2015
Anisotropic mesh adaptation for 3D anisotropic diffusion problems with application to fractured reservoir simulation. Zbl 1399.65232
Li, Xianping; Huang, Weizhang
2017
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Zbl 1411.65131
Li, Xianping; Huang, Weizhang
2017
Variational mesh adaptation methods for axisymmetrical problems. Zbl 1041.65096
Cao, Weiming; Carretero-González, Ricardo; Huang, Weizhang; Russell, Robert D.
2003
Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. Zbl 1433.65256
Wang, Xiang; Huang, Weizhang; Li, Yonghai
2019
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. Zbl 0994.76074
Huang, Weizhang; Tang, Tao
2000
A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows. Zbl 1380.76035
Cheng, Jun-Bo; Huang, Weizhang; Jiang, Song; Tian, Baolin
2017
An $$L^\infty$$ stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes. Zbl 1242.65162
Huang, Weizhang; Schaeffer, Forrest
2012
Characterization of 2-local derivations and local Lie derivations on some algebras. Zbl 1409.46041
He, J.; Li, J.; An, G.; Huang, W.
2018
A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions. Zbl 1409.65105
Kolasinski, Avary; Huang, Weizhang
2018
Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems. Zbl 1416.65345
DiPietro, Kelsey L.; Haynes, Ronald D.; Huang, Weizhang; Lindsay, Alan E.; Yu, Yufei
2018
Convergence of algebraic multigrid methods for symmetric positive definite matrices with weak diagonal dominance. Zbl 0743.65029
Huang, Weizhang
1991
An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation. Zbl 1473.65223
Zhang, Min; Cheng, Juan; Huang, Weizhang; Qiu, Jianxian
2020
Monotone finite difference schemes for anisotropic diffusion problems via nonnegative directional splittings. Zbl 1388.65137
Ngo, Cuong; Huang, Weizhang
2016
Adaptive finite element solution of the porous medium equation in pressure formulation. Zbl 1418.65135
Ngo, Cuong; Huang, Weizhang
2019
Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection-diffusion equations. Zbl 1330.65131
Huang, Weizhang
2015
Adaptive moving mesh modeling for two-dimensional groundwater flow and transport. Zbl 1096.76033
Huang, Weizhang; Zhan, Xiaoyong
2005
A moving mesh method for time-dependent problems based on Schwarz waveform relaxation. Zbl 1139.65314
Haynes, Ronald D.; Huang, Weizhang; Russell, Robert D.
2008
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. Zbl 1482.65176
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2022
A surface moving mesh method based on equidistribution and alignment. Zbl 1453.65043
Kolasinski, Avary; Huang, Weizhang
2020
Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes. Zbl 1456.65114
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2021
A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. Zbl 1482.65176
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2022
A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. Zbl 1476.65226
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2021
Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes. Zbl 1456.65114
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2021
High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. Zbl 1454.65122
Zhang, Min; Huang, Weizhang; Qiu, Jianxian
2020
An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation. Zbl 1473.65223
Zhang, Min; Cheng, Juan; Huang, Weizhang; Qiu, Jianxian
2020
A surface moving mesh method based on equidistribution and alignment. Zbl 1453.65043
Kolasinski, Avary; Huang, Weizhang
2020
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1452.65243
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2019
Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. Zbl 1433.65256
Wang, Xiang; Huang, Weizhang; Li, Yonghai
2019
Adaptive finite element solution of the porous medium equation in pressure formulation. Zbl 1418.65135
Ngo, Cuong; Huang, Weizhang
2019
On the mesh nonsingularity of the moving mesh PDE method. Zbl 1447.65172
Huang, Weizhang; Kamenski, Lennard
2018
Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton’s iteration. Zbl 1380.74107
Zhang, Fei; Huang, Weizhang; Li, Xianping; Zhang, Shicheng
2018
An adaptive moving mesh finite element solution of the regularized long wave equation. Zbl 1383.65125
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2018
Characterization of 2-local derivations and local Lie derivations on some algebras. Zbl 1409.46041
He, J.; Li, J.; An, G.; Huang, W.
2018
A new functional for variational mesh generation and adaptation based on equidistribution and alignment conditions. Zbl 1409.65105
Kolasinski, Avary; Huang, Weizhang
2018
Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems. Zbl 1416.65345
DiPietro, Kelsey L.; Haynes, Ronald D.; Huang, Weizhang; Lindsay, Alan E.; Yu, Yufei
2018
A study on moving mesh finite element solution of the porous medium equation. Zbl 1378.76110
Ngo, Cuong; Huang, Weizhang
2017
Anisotropic mesh adaptation for 3D anisotropic diffusion problems with application to fractured reservoir simulation. Zbl 1399.65232
Li, Xianping; Huang, Weizhang
2017
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Zbl 1411.65131
Li, Xianping; Huang, Weizhang
2017
A third-order moving mesh cell-centered scheme for one-dimensional elastic-plastic flows. Zbl 1380.76035
Cheng, Jun-Bo; Huang, Weizhang; Jiang, Song; Tian, Baolin
2017
Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes. Zbl 1339.65173
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2016
A hybrid LDG-HWENO scheme for KdV-type equations. Zbl 1349.65464
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2016
A posteriori error analysis for finite element solution of one-dimensional elliptic differential equations using equidistributing meshes. Zbl 1333.65090
He, Yinnian; Huang, Weizhang
2016
Monotone finite difference schemes for anisotropic diffusion problems via nonnegative directional splittings. Zbl 1388.65137
Ngo, Cuong; Huang, Weizhang
2016
A geometric discretization and a simple implementation for variational mesh generation and adaptation. Zbl 1349.65664
Huang, Weizhang; Kamenski, Lennard
2015
Discrete maximum principle for the weak Galerkin method for anisotropic diffusion problems. Zbl 1388.65151
Huang, Weizhang; Wang, Yanqiu
2015
A moving mesh finite difference method for equilibrium radiation diffusion equations. Zbl 1349.65352
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2015
Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations. Zbl 1328.65208
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2015
A comparative numerical study of meshing functionals for variational mesh adaptation. Zbl 1349.65421
Huang, Weizhang; Kamenski, Lennard; Russell, Robert D.
2015
Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection-diffusion equations. Zbl 1330.65131
Huang, Weizhang
2015
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Zbl 1300.65088
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2014
Conditioning of finite element equations with arbitrary anisotropic meshes. Zbl 1303.65097
Kamenski, Lennard; Huang, Weizhang; Xu, Hongguo
2014
How a nonconvergent recovered Hessian works in mesh adaptation. Zbl 1303.65101
Kamenski, Lennard; Huang, Weizhang
2014
Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators. Zbl 1352.65511
Huang, Weizhang
2014
A study on the conditioning of finite element equations with arbitrary anisotropic meshes via a density function approach. Zbl 1313.65306
Kamenski, Lennard; Huang, Weizhang
2014
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations. Zbl 1297.65097
Lu, Changna; Huang, Weizhang; Van Vleck, Erik S.
2013
Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems. Zbl 1307.65134
Li, Xianping; Huang, Weizhang
2013
A numerical study of blowup in the harmonic map heat flow using the MMPDE moving mesh method. Zbl 1289.65178
Haynes, Ronald D.; Huang, Weizhang; Zegeling, Paul A.
2013
A moving mesh WENO method for one-dimensional conservation laws. Zbl 1253.65133
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2012
Analysis of a moving collocation method for one-dimensional partial differential equations. Zbl 1245.65138
Ma, Jingtang; Huang, Weizhang; Russell, Robert D.
2012
An $$L^\infty$$ stability analysis for the finite-difference solution of one-dimensional linear convection-diffusion equations on moving meshes. Zbl 1242.65162
Huang, Weizhang; Schaeffer, Forrest
2012
Adaptive moving mesh methods. Zbl 1227.65090
Huang, Weizhang; Russell, Robert D.
2011
Convergence of de Boor’s algorithm for the generation of equidistributing meshes. Zbl 1228.65027
Xu, X.; Huang, W.; Russell, R. D.; Williams, J. F.
2011
Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems. Zbl 1265.65199
Huang, Weizhang
2011
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems. Zbl 1198.65227
Li, Xianping; Huang, Weizhang
2010
A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. Zbl 1185.65221
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2010
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
2009
A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations. Zbl 1145.65080
Huang, Weizhang; Ma, Jingtang; Russell, Robert D.
2008
A moving mesh method for time-dependent problems based on Schwarz waveform relaxation. Zbl 1139.65314
Haynes, Ronald D.; Huang, Weizhang; Russell, Robert D.
2008
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang
2006
Metric tensors for anisotropic mesh generation. Zbl 1067.65140
Huang, Weizhang
2005
Measuring mesh qualities and application to variational mesh adaptation. Zbl 1076.65110
Huang, Weizhang
2005
Convergence analysis of finite element solution of one-dimensional singularly perturbed differential equations on equidistributing meshes. Zbl 1078.65069
Huang, Weizhang
2005
Adaptive moving mesh modeling for two-dimensional groundwater flow and transport. Zbl 1096.76033
Huang, Weizhang; Zhan, Xiaoyong
2005
Variational mesh adaptation. II: Error estimates and monitor functions. Zbl 1018.65140
Huang, Weizhang; Sun, Weiwei
2003
A two-dimensional moving finite element method with local refinement based on a posteriori error estimates. Zbl 1022.65107
Lang, Jens; Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2003
Approaches for generating moving adaptive meshes: Location versus velocity. Zbl 1031.65109
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2003
Convergence analysis of spectral collocation methods for a singular differential equation. Zbl 1058.65076
Huang, Weizhang; Ma, Heping; Sun, Weiwei
2003
Variational mesh adaptation methods for axisymmetrical problems. Zbl 1041.65096
Cao, Weiming; Carretero-González, Ricardo; Huang, Weizhang; Russell, Robert D.
2003
A moving mesh method based on the geometric conservation law. Zbl 1016.65066
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2002
Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts. Zbl 1098.76052
Huang, Weizhang; Zheng, Li; Zhan, Xiaoyong
2002
Variational mesh adaptation: Isotropy and equidistribution. Zbl 0991.65131
Huang, Weizhang
2001
Practical aspects of formulation and solution of moving mesh partial differential equations. Zbl 0990.65107
Huang, Weizhang
2001
Adaptive mesh movements – the MMPDE approach and its applications. Zbl 0971.65088
Huang, Weizhang; Russell, Robert D.
2001
An error indicator monitor function for an $$r$$-adaptive finite-element method. Zbl 0986.65082
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2001
Comparison of two-dimensional $$r$$-adaptive finite element methods using various error indicators. Zbl 0984.65099
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2001
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. Zbl 0994.76074
Huang, Weizhang; Tang, Tao
2000
An $$r$$-adaptive finite element method based upon moving mesh PDEs. Zbl 0923.65062
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
Moving mesh strategy based on a gradient flow equation for two-dimensional problems. Zbl 0956.76076
Huang, Weizhang; Russell, Robert D.
1999
A study of monitor functions for two-dimensional adaptive mesh generation. Zbl 0937.65104
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
Self-similar numerical solutions of the porous-medium equation using moving mesh methods. Zbl 0931.76079
Budd, C. J.; Collins, G. J.; Huang, W. Z.; Russell, R. D.
1999
A moving mesh method in multiblock domains with application to a combustion problem. Zbl 0972.80011
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
Pseudospectral solution of near-singular problems using numerical coordinate transformations based on adaptivity. Zbl 0913.65101
Mulholland, L. S.; Huang, W.-Z.; Sloan, D. M.
1998
A high dimensional moving mesh strategy. Zbl 0890.65101
Huang, Weizhang; Russell, Robert D.
1998
Analysis of moving mesh partial differential equations with spatial smoothing. Zbl 0874.65071
Huang, Weizhang; Russell, Robert D.
1997
The adaptive Verlet method. Zbl 0877.65048
Huang, Weizhang; Leimkuhler, Benedict
1997
Geometric integrators for classical spin systems. Zbl 0878.65110
Frank, Jason; Huang, Weizhang; Leimkuhler, Benedict
1997
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
1996
A moving collocation method for solving time dependent partial differential equations. Zbl 0859.65112
Huang, Weizhang; Russell, Robert D.
1996
Moving mesh methods with applications to blow-up problems for PDEs. Zbl 0843.65065
Budd, C. J.; Chen, Jianping; Huang, W.; Russell, R. D.
1996
Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. Zbl 0863.65072
Sun, Weiwei; Huang, Weizhang; Russell, Robert D.
1996
Moving mesh partial differential equations (MMPDEs) based on the equidistribution principle. Zbl 0806.65092
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
1994
Moving mesh methods based on moving mesh partial differential equations. Zbl 0807.65101
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
1994
A simple adaptive grid method in two dimensions. Zbl 0809.65096
Huang, Weizhang; Sloan, David M.
1994
The pseudospectral method for solving differential eigenvalue problems. Zbl 0799.65091
Huang, Weizhang; Sloan, David M.
1994
Pole condition for singular problems: The pseudospectral approximation. Zbl 0785.65091
Huang, Weizhang; Sloan, David M.
1993
A new pseudospectral method with upwind features. Zbl 0797.65057
Huang, Weizhang; Sloan, David M.
1993
The pseudospectral method for third-order differential equations. Zbl 0764.65058
Huang, Weizhang; Sloan, David M.
1992
Convergence of algebraic multigrid methods for symmetric positive definite matrices with weak diagonal dominance. Zbl 0743.65029
Huang, Weizhang
1991
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Cited by 1,258 Authors

 45 Huang, Weizhang 18 Budd, Christopher John 18 Russell, Robert D. 14 Qiu, Jianxian 14 Tang, Tao 14 Yuan, Guangwei 13 Mackenzie, John A. 13 Zegeling, Paul Andries 11 Ma, Jingtang 10 Tang, Huazhong 9 Das, Pratibhamoy 9 Haynes, Ronald D. 8 Cao, Weiming 8 Shen, Jie 8 Soheili, Ali Reza 7 Kamenski, Lennard 7 Sheng, Zhiqiang 7 Wang, Lilian 6 Groisman, Pablo 6 Ricchiuto, Mario 6 Rossi, Julio Daniel 6 Sheng, Qin 6 Sloan, David M. 6 Sumit, S. 6 Vigo-Aguiar, Jesus 5 Beckett, G. 5 Chen, Long 5 Hu, Guanghui 5 Hubbard, Matthew E. 5 Kumar, Sunil 5 Leimkuhler, Benedict J. 5 Li, Ruo 5 Li, Xianping 5 Li, Yonghai 5 Liang, Kewei 5 Ramage, Alison 5 Wang, Yihong 5 Wu, Jiming 4 Alauzet, Frédéric 4 Auricchio, Ferdinando 4 Boulbrachene, Messaoud 4 Chen, Yibing 4 Gao, Qinjiao 4 Guo, Hailong 4 Huang, Yunqing 4 Jiang, Song 4 Jiang, Yingjun 4 Jimack, Peter K. 4 Kurganov, Alexander 4 Lai, Mingchih 4 Lang, Jens 4 Lu, Changna 4 Luo, Dongmi 4 Ma, Tianbao 4 Madzvamuse, Anotida 4 Matthes, Daniel 4 Natesan, Srinivasan 4 Ni, Guoxi 4 Piggott, Matthew D. 4 Shanazari, Kamal 4 Su, Shuai 4 Tan, Zhijun 4 Wang, Heyu 4 Wang, Rong 4 Xia, Yinhua 4 Xu, Jinchao 4 Zhang, Pingwen 4 Zhang, Shenggang 4 Zhang, Zhengru 4 Zhou, Zhiqiang 3 Abd-Elhameed, Waleed Mohamed 3 Abia, Luis M. 3 Beauregard, Matthew A. 3 Bihlo, Alexander 3 Brunner, Hermann 3 Carpio, Jaime 3 Chacón, Luis 3 Chen, Shaohua 3 Dehghan Takht Fooladi, Mehdi 3 Delzanno, Gian Luca 3 DiPietro, Kelsey L. 3 Dong, Qiannan 3 Du, Qiang 3 Fang, Qing 3 Fernández Bonder, Julián 3 Finn, John M. 3 Georgoulis, Emmanuil H. 3 Guo, Ben-Yu 3 Gupta, Vikas 3 Hachem, Elie 3 Hosami, Mohammad 3 Hou, Thomas Yizhao 3 Karasözen, Bülent 3 Khumalo, Melusi 3 Lefieux, Adrien 3 Lew, Adrian J. 3 Li, Zhiping 3 Lindsay, Alan E. 3 Liu, Hailiang 3 López-Marcos, Juan Carlos ...and 1,158 more Authors
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Cited in 143 Serials

 175 Journal of Computational Physics 71 Journal of Computational and Applied Mathematics 55 Applied Numerical Mathematics 39 Computers & Mathematics with Applications 37 Applied Mathematics and Computation 37 Journal of Scientific Computing 26 SIAM Journal on Scientific Computing 20 Computers and Fluids 19 Computer Methods in Applied Mechanics and Engineering 17 Numerical Algorithms 17 Communications in Computational Physics 14 Mathematics of Computation 14 Numerical Methods for Partial Differential Equations 14 International Journal of Computer Mathematics 13 International Journal for Numerical Methods in Engineering 9 Engineering Analysis with Boundary Elements 8 Numerische Mathematik 7 Mathematics and Computers in Simulation 7 SIAM Journal on Numerical Analysis 6 Mathematical and Computer Modelling 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Computational Mathematics and Mathematical Physics 5 Applied Mathematical Modelling 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Applied Mathematics Letters 4 Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Science China. Mathematics 3 Journal of Engineering Mathematics 3 Journal of Fluid Mechanics 3 BIT 3 Computing 3 Numerical Functional Analysis and Optimization 3 Physica D 3 Advances in Computational Mathematics 3 Abstract and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 ACM Transactions on Mathematical Software 2 Calcolo 2 Journal of Approximation Theory 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Mechanics 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Difference Equations and Applications 2 Discrete Dynamics in Nature and Society 2 Computational Geosciences 2 Differential Equations 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Acta Mechanica Sinica 2 Advances in Applied Mathematics and Mechanics 2 East Asian Journal on Applied Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Communications on Applied Mathematics and Computation 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Molecular Simulation 1 Bulletin of Mathematical Biology 1 Mathematika 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Computer Aided Geometric Design 1 Optimization 1 Journal of Complexity 1 Constructive Approximation 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 Communications in Numerical Methods in Engineering 1 Filomat 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 The Journal of Artificial Intelligence Research (JAIR) 1 Discrete and Continuous Dynamical Systems 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Journal of Mathematical Chemistry 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Journal of Shanghai University 1 European Journal of Mechanics. A. Solids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation ...and 43 more Serials
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Cited in 39 Fields

 684 Numerical analysis (65-XX) 354 Partial differential equations (35-XX) 221 Fluid mechanics (76-XX) 50 Ordinary differential equations (34-XX) 38 Mechanics of deformable solids (74-XX) 30 Classical thermodynamics, heat transfer (80-XX) 27 Biology and other natural sciences (92-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Geophysics (86-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Approximations and expansions (41-XX) 12 Mechanics of particles and systems (70-XX) 12 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)