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## Huang, Weizhang

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 Author ID: huang.weizhang Published as: Huang, Weizhang; Huang, W.; Huang, W. Z.; Huang, W.-Z. Homepage: http://www.math.ku.edu/~huang/ External Links: MGP · ORCID · ResearchGate · dblp
 Documents Indexed: 102 Publications since 1991, including 1 Book
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#### Co-Authors

 14 single-authored 28 Russell, Robert D. 12 Kamenski, Lennard 10 Cao, Weiming 9 Qiu, Jianxian 6 Lang, Jens 6 Li, Xianping 6 Sloan, David M. 4 Budd, Christopher John 4 Haynes, Ronald D. 3 Lu, Changna 3 Ngo, Cuong 3 Sun, Weiwei 3 Yang, Xiaobo 2 Kolasinski, Avary 2 Leimkuhler, Benedict J. 2 Luo, Dongmi 2 Ma, Jingtang 2 Ren, Yuhe 2 Wang, Jingyue 2 Wang, Yanqiu 2 Yu, Yufei 2 Zhan, Xiaoyong 1 Carretero-González, Ricardo 1 Chen, Jianping 1 Cheng, Junbo 1 Collins, G. J. 1 DiPietro, Kelsey L. 1 Frank, Jason 1 He, Yinnian 1 Jiang, Song 1 Li, Jiachun 1 Li, Yonghai 1 Lindsay, Alan E. 1 Ma, Heping 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 Van Vleck, Erik S. 1 Wang, Xiang 1 Wen, Pihua H. 1 Xie, Zuoheng 1 Xu, Hongguo 1 Yousefpour, Rohollah 1 Zegeling, Paul Andries 1 Zhang, Fei 1 Zhang, Shicheng 1 Zhang, Suochun 1 Zheng, Li
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#### Serials

 26 Journal of Computational Physics 11 SIAM Journal on Scientific Computing 8 SIAM Journal on Numerical Analysis 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 Communications in Computational Physics 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Applied Mathematics and Computation 2 Acta Mathematicae Applicatae Sinica 2 Journal of Scientific Computing 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 SIAM Journal on Optimization 1 The Canadian Applied Mathematics Quarterly 1 Engineering Analysis with Boundary Elements 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
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#### Fields

 91 Numerical analysis (65-XX) 52 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mechanics of deformable solids (74-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-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 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

83 Publications have been cited 1,576 times in 708 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
Moving mesh methods for problems with blow-up. Zbl 0860.35050
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
1996
Moving mesh methods based on moving mesh partial differential equations. Zbl 0807.65101
Huang, Weizhang; Ren, Yuhe; Russell, Robert D.
1994
Adaptivity with moving grids. Zbl 1181.65122
Budd, Chris J.; Huang, Weizhang; Russell, Robert D.
2009
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
Practical aspects of formulation and solution of moving mesh partial differential equations. Zbl 0990.65107
Huang, Weizhang
2001
Variational mesh adaptation: Isotropy and equidistribution. Zbl 0991.65131
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
A simple adaptive grid method in two dimensions. Zbl 0809.65096
Huang, Weizhang; Sloan, David M.
1994
Analysis of moving mesh partial differential equations with spatial smoothing. Zbl 0874.65071
Huang, Weizhang; Russell, Robert D.
1997
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 high dimensional moving mesh strategy. Zbl 0890.65101
Huang, Weizhang; Russell, Robert D.
1998
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
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
The adaptive Verlet method. Zbl 0877.65048
Huang, Weizhang; Leimkuhler, Benedict
1997
The pseudospectral method for third-order differential equations. Zbl 0764.65058
Huang, Weizhang; Sloan, David M.
1992
An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems. Zbl 1198.65227
Li, Xianping; Huang, Weizhang
2010
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
A geometric discretization and a simple implementation for variational mesh generation and adaptation. Zbl 1349.65664
Huang, Weizhang; Kamenski, Lennard
2015
Conditioning of finite element equations with arbitrary anisotropic meshes. Zbl 1303.65097
Kamenski, Lennard; Huang, Weizhang; Xu, Hongguo
2014
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Zbl 1300.65088
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2014
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
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
On the mesh nonsingularity of the moving mesh PDE method. Zbl 1447.65172
Huang, Weizhang; Kamenski, Lennard
2018
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 new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates. Zbl 1185.65221
Huang, Weizhang; Kamenski, Lennard; Lang, Jens
2010
Geometric integrators for classical spin systems. Zbl 0878.65110
Frank, Jason; Huang, Weizhang; Leimkuhler, Benedict
1997
A study on moving mesh finite element solution of the porous medium equation. Zbl 1378.76110
Ngo, Cuong; Huang, Weizhang
2017
Adaptive mesh movements – the MMPDE approach and its applications. Zbl 0971.65088
Huang, Weizhang; Russell, Robert D.
2001
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
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
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
Discrete maximum principle for the weak Galerkin method for anisotropic diffusion problems. Zbl 1388.65151
Huang, Weizhang; Wang, Yanqiu
2015
An error indicator monitor function for an $$r$$-adaptive finite-element method. Zbl 0986.65082
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2001
How a nonconvergent recovered Hessian works in mesh adaptation. Zbl 1303.65101
Kamenski, Lennard; Huang, Weizhang
2014
A moving mesh WENO method for one-dimensional conservation laws. Zbl 1253.65133
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2012
Line search algorithms for locally Lipschitz functions on Riemannian manifolds. Zbl 1387.49019
Hosseini, S.; Huang, W.; Yousefpour, R.
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
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
Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems. Zbl 1307.65134
Li, Xianping; Huang, Weizhang
2013
Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators. Zbl 1352.65511
Huang, Weizhang
2014
Comparison of two-dimensional $$r$$-adaptive finite element methods using various error indicators. Zbl 0984.65099
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
2001
Adaptive moving mesh methods for simulating one-dimensional groundwater problems with sharp moving fronts. Zbl 1098.76052
Huang, Weizhang; Zheng, Li; Zhan, Xiaoyong
2002
A moving mesh method in multiblock domains with application to a combustion problem. Zbl 0972.80011
Cao, Weiming; Huang, Weizhang; Russell, Robert D.
1999
A hybrid LDG-HWENO scheme for KdV-type equations. Zbl 1349.65464
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2016
Finite difference preconditioning for solving orthogonal collocation equations for boundary value problems. Zbl 0863.65072
Sun, Weiwei; Huang, Weizhang; Russell, Robert D.
1996
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 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 comparative numerical study of meshing functionals for variational mesh adaptation. Zbl 1349.65421
Huang, Weizhang; Kamenski, Lennard; Russell, Robert D.
2015
A new pseudospectral method with upwind features. Zbl 0797.65057
Huang, Weizhang; Sloan, David M.
1993
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
An adaptive moving mesh finite element solution of the regularized long wave equation. Zbl 1383.65125
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2018
Convergence analysis of finite element solution of one-dimensional singularly perturbed differential equations on equidistributing meshes. Zbl 1078.65069
Huang, Weizhang
2005
A moving mesh finite difference method for equilibrium radiation diffusion equations. Zbl 1349.65352
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2015
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
Pseudospectral solutions for steady motion of a viscous fluid inside a circular boundary. Zbl 0994.76074
Huang, Weizhang; Tang, Tao
2000
Variational mesh adaptation methods for axisymmetrical problems. Zbl 1041.65096
Cao, Weiming; Carretero-González, Ricardo; Huang, Weizhang; Russell, Robert D.
2003
Analysis of a moving collocation method for one-dimensional partial differential equations. Zbl 1245.65138
Ma, Jingtang; Huang, Weizhang; Russell, Robert D.
2012
Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. Zbl 1433.65256
Wang, Xiang; Huang, Weizhang; Li, Yonghai
2019
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
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
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
Convergence of algebraic multigrid methods for symmetric positive definite matrices with weak diagonal dominance. Zbl 0743.65029
Huang, Weizhang
1991
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1452.65243
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2019
Adaptive moving mesh modeling for two-dimensional groundwater flow and transport. Zbl 1096.76033
Huang, Weizhang; Zhan, Xiaoyong
2005
Monotone finite difference schemes for anisotropic diffusion problems via nonnegative directional splittings. Zbl 1388.65137
Ngo, Cuong; Huang, Weizhang
2016
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Zbl 1411.65131
Li, Xianping; Huang, Weizhang
2017
Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection-diffusion equations. Zbl 1330.65131
Huang, Weizhang
2015
Anisotropic mesh adaptation for 3D anisotropic diffusion problems with application to fractured reservoir simulation. Zbl 1399.65232
Li, Xianping; Huang, Weizhang
2017
Adaptive finite element solution of the porous medium equation in pressure formulation. Zbl 1418.65135
Ngo, Cuong; Huang, Weizhang
2019
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
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
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
Conditioning of the finite volume element method for diffusion problems with general simplicial meshes. Zbl 1433.65256
Wang, Xiang; Huang, Weizhang; Li, Yonghai
2019
A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. Zbl 1452.65243
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
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
Line search algorithms for locally Lipschitz functions on Riemannian manifolds. Zbl 1387.49019
Hosseini, S.; Huang, W.; Yousefpour, R.
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
A study on moving mesh finite element solution of the porous medium equation. Zbl 1378.76110
Ngo, Cuong; 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
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations. Zbl 1411.65131
Li, Xianping; 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
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 comparative numerical study of meshing functionals for variational mesh adaptation. Zbl 1349.65421
Huang, Weizhang; Kamenski, Lennard; Russell, Robert D.
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 moving mesh finite difference method for equilibrium radiation diffusion equations. Zbl 1349.65352
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2015
Unconditionally stable high-order time integration for moving mesh finite difference solution of linear convection-diffusion equations. Zbl 1330.65131
Huang, Weizhang
2015
Conditioning of finite element equations with arbitrary anisotropic meshes. Zbl 1303.65097
Kamenski, Lennard; Huang, Weizhang; Xu, Hongguo
2014
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Zbl 1300.65088
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
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
Practical aspects of formulation and solution of moving mesh partial differential equations. Zbl 0990.65107
Huang, Weizhang
2001
Variational mesh adaptation: Isotropy and equidistribution. Zbl 0991.65131
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
A high dimensional moving mesh strategy. Zbl 0890.65101
Huang, Weizhang; Russell, Robert D.
1998
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
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 1,101 Authors

 40 Huang, Weizhang 18 Budd, Christopher John 18 Russell, Robert D. 14 Tang, Tao 13 Mackenzie, John A. 10 Ma, Jingtang 10 Qiu, Jianxian 10 Yuan, Guangwei 10 Zegeling, Paul Andries 9 Haynes, Ronald D. 8 Cao, Weiming 8 Das, Pratibhamoy 8 Soheili, Ali Reza 7 Kamenski, Lennard 7 Sheng, Zhiqiang 7 Tang, Huazhong 7 Wang, Lilian 6 Groisman, Pablo 6 Rossi, Julio Daniel 6 Sheng, Qin 6 Sloan, David M. 5 Beckett, G. 5 Chen, Long 5 Hubbard, Matthew E. 5 Leimkuhler, Benedict J. 5 Li, Ruo 5 Li, Xianping 5 Liang, Kewei 5 Ramage, Alison 5 Ricchiuto, Mario 5 Shen, Jie 4 Alauzet, Frédéric 4 Auricchio, Ferdinando 4 Gao, Qinjiao 4 Hu, Guanghui 4 Huang, Yunqing 4 Jiang, Song 4 Jiang, Yingjun 4 Jimack, Peter K. 4 Lai, Mingchih 4 Lang, Jens 4 Lu, Changna 4 Madzvamuse, Anotida 4 Matthes, Daniel 4 Natesan, Srinivasan 4 Shanazari, Kamal 4 Tan, Zhijun 4 Wang, Rong 4 Wang, Yihong 4 Xu, Jinchao 4 Zhang, Pingwen 4 Zhang, Shenggang 4 Zhang, Zhengru 3 Abd-Elhameed, Waleed Mohamed 3 Abia, Luis M. 3 Beauregard, Matthew A. 3 Bihlo, Alexander 3 Boulbrachene, Messaoud 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 Du, Qiang 3 Fang, Qing 3 Fernández Bonder, Julián 3 Finn, John M. 3 Guo, Ben-Yu 3 Guo, Hailong 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, Yonghai 3 Li, Zhiping 3 Lindsay, Alan E. 3 Liu, Hailiang 3 López-Marcos, Juan Carlos 3 Ma, Heping 3 Ma, Tianbao 3 Martínez, Julia 3 Mesri, Youssef 3 Muir, Paul H. 3 Neilan, Michael 3 Ni, Guoxi 3 Ning, Jianguo 3 Osberger, Horst 3 Perotto, Simona 3 Piggott, Matthew D. 3 Prieto, Juan Luis 3 Shi, Zhengguang 3 Stockie, John M. 3 Sun, Pengtao 3 Sun, Weiwei 3 Tang, Yifa ...and 1,001 more Authors
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#### Cited in 127 Serials

 161 Journal of Computational Physics 65 Journal of Computational and Applied Mathematics 52 Applied Numerical Mathematics 36 Computers & Mathematics with Applications 36 Applied Mathematics and Computation 30 Journal of Scientific Computing 19 Computers and Fluids 19 SIAM Journal on Scientific Computing 16 Computer Methods in Applied Mechanics and Engineering 16 Numerical Algorithms 14 Mathematics of Computation 14 Numerical Methods for Partial Differential Equations 13 International Journal for Numerical Methods in Engineering 8 Engineering Analysis with Boundary Elements 7 Numerische Mathematik 7 International Journal of Computer Mathematics 6 Mathematics and Computers in Simulation 6 SIAM Journal on Numerical Analysis 6 Mathematical and Computer Modelling 5 Applied Mathematical Modelling 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Mathematical Problems in Engineering 4 Science China. Mathematics 3 Journal of Fluid Mechanics 3 BIT 3 Computing 3 Numerical Functional Analysis and Optimization 3 Physica D 3 Applied Mathematics Letters 3 Computational Mathematics and Mathematical Physics 3 Advances in Computational Mathematics 3 Abstract and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 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 Computational and Applied Mathematics 2 Journal of Difference Equations and Applications 2 Discrete Dynamics in Nature and Society 2 Computational Geosciences 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Acta Mechanica Sinica 2 East Asian Journal on Applied Mathematics 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 Chaos, Solitons and Fractals 1 Mathematika 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 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 Communications in Numerical Methods in Engineering 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 1 Engineering Computations 1 Combustion Theory and Modelling 1 International Journal of Modern Physics C 1 Differential Equations 1 Quantitative Finance 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 27 more Serials
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#### Cited in 39 Fields

 584 Numerical analysis (65-XX) 306 Partial differential equations (35-XX) 186 Fluid mechanics (76-XX) 47 Ordinary differential equations (34-XX) 33 Mechanics of deformable solids (74-XX) 30 Classical thermodynamics, heat transfer (80-XX) 22 Biology and other natural sciences (92-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Geophysics (86-XX) 12 Approximations and expansions (41-XX) 11 Mechanics of particles and systems (70-XX) 10 Optics, electromagnetic theory (78-XX) 5 Special functions (33-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Astronomy and astrophysics (85-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-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 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)