Zhen-Dong Luo

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zbMath Open luo.zhendongMaRDI QIDQ940243

List of research outcomes

PublicationDate of PublicationType
The dimension reduction method of two-grid Crank-Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative2024-04-05Paper
Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation2024-04-02Paper
Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation2023-12-13Paper
A precision preserving Crank-Nicolson mixed finite element lowering dimension method for the unsteady conduction-convection problem2023-05-17Paper
A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations2022-12-19Paper
https://portal.mardi4nfdi.de/entity/Q58667012022-09-22Paper
https://portal.mardi4nfdi.de/entity/Q58667292022-09-22Paper
https://portal.mardi4nfdi.de/entity/Q58667812022-09-22Paper
https://portal.mardi4nfdi.de/entity/Q58668252022-09-22Paper
https://portal.mardi4nfdi.de/entity/Q58668532022-09-22Paper
https://portal.mardi4nfdi.de/entity/Q58668662022-09-22Paper
https://portal.mardi4nfdi.de/entity/Q58669272022-09-22Paper
The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell's equations2022-08-05Paper
A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation2022-06-01Paper
The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows2022-05-05Paper
A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations2022-04-22Paper
A collocation spectral method for two-dimensional Sobolev equations2022-04-19Paper
The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation2022-04-11Paper
A spectral element Crank-Nicolson model to the 2D unsteady conduction-convection problems about vorticity and stream functions2022-01-20Paper
The Crank-Nicolson finite element method for the 2D uniform transmission line equation2022-01-20Paper
A reduced second-order time accurate finite element formulation based on POD for parabolic equations2021-12-17Paper
A reduced-order extrapolation algorithm of fully second-order finite difference scheme for non-stationary Burgers equation2021-12-17Paper
A reduced-order finite volume element formulation based on POD method and implementation of its extrapolation algorithm for unsaturated soil water flow equation2021-12-17Paper
A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations2021-12-15Paper
A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions2021-12-15Paper
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation2021-12-09Paper
A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS2021-12-08Paper
A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation2021-10-12Paper
A POD-BASED REDUCED-ORDER STABILIZED CRANK–NICOLSON MFE FORMULATION FOR THE NON-STATIONARY PARABOLIZED NAVIER–STOKES EQUATIONS2021-08-27Paper
A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations2021-03-01Paper
A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation2021-02-16Paper
A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems2021-02-15Paper
A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation2020-10-23Paper
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time2020-10-22Paper
A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations2020-10-12Paper
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation2020-09-18Paper
The Crank–Nicolson finite spectral element method and numerical simulations for 2D non‐stationary Navier–Stokes equations2020-09-16Paper
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation2020-08-17Paper
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type2020-07-21Paper
A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation2020-06-02Paper
A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation2020-02-26Paper
A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions2019-11-27Paper
A reduced-order extrapolated natural boundary element method based on POD for the parabolic equation in the 2D unbounded domain2019-09-05Paper
A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation2019-08-14Paper
A Crank–Nicolson collocation spectral method for the two‐dimensional viscoelastic wave equation2019-07-25Paper
A reduced-order extrapolating Crank-Nicolson finite difference scheme for the Riesz space fractional order equations with a nonlinear source function and delay2019-07-22Paper
The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration2019-05-15Paper
A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations2019-03-21Paper
An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation2019-02-04Paper
A Crank-Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation2019-01-22Paper
A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations2018-12-20Paper
An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation2018-12-07Paper
https://portal.mardi4nfdi.de/entity/Q46903552018-10-22Paper
Proper orthogonal decomposition methods for partial differential equations2018-09-28Paper
A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations2018-08-30Paper
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation2018-02-12Paper
A natural boundary element method for the Sobolev equation in the 2D unbounded domain2018-01-17Paper
Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations2017-11-16Paper
Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation2017-11-14Paper
An optimized finite element extrapolating method for 2D viscoelastic wave equation2017-09-19Paper
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations2017-09-07Paper
A space‐time continuous Galerkin method with mesh modification for viscoelastic wave equations2017-08-24Paper
A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations2017-08-03Paper
https://portal.mardi4nfdi.de/entity/Q52825472017-07-14Paper
Iterative Soft Joint Detection Algorithm for OFDM Systems2017-07-12Paper
A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem2017-06-09Paper
Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system2017-04-27Paper
A Fully Discrete SCNFVE Formulation for theNon-stationary Navier-Stokes Equations2017-02-27Paper
An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation2017-01-10Paper
An effective finite element Newton method for 2D \(p\)-Laplace equation with particular initial iterative function2016-11-14Paper
A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations2016-10-06Paper
A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue2016-09-12Paper
A POD-based reduced-order FD extrapolating algorithm for traffic flow2016-09-01Paper
A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations2016-09-01Paper
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary parabolized Navier-Stokes equations2016-08-10Paper
A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations2016-08-05Paper
A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium2016-07-29Paper
A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations2016-06-17Paper
A new space-time continuous Galerkin method with mesh modification for Sobolev equations2016-04-18Paper
A high accuracy spectral method based on \(\min\)/\(\max\) principle for biharmonic eigenvalue problems on a spherical domain2016-04-13Paper
A space-time continuous finite element method for 2D viscoelastic wave equation2016-03-16Paper
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary incompressible Boussinesq equations2016-03-15Paper
A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations2016-03-01Paper
https://portal.mardi4nfdi.de/entity/Q34627282016-01-15Paper
Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation2015-09-03Paper
A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation2015-06-30Paper
https://portal.mardi4nfdi.de/entity/Q52570172015-06-29Paper
https://portal.mardi4nfdi.de/entity/Q52599512015-06-29Paper
https://portal.mardi4nfdi.de/entity/Q52603872015-06-29Paper
Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration2015-05-27Paper
A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations2015-05-06Paper
A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations2015-04-28Paper
A reduced-order SMFVE extrapolation algorithm based on POD technique and CN method for the non-stationary Navier-Stokes equations2015-03-10Paper
A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations2015-02-11Paper
A POD reduced-order SPDMFE extrapolating algorithm for hyperbolic equations2015-02-11Paper
https://portal.mardi4nfdi.de/entity/Q54991292015-02-11Paper
A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem2015-01-26Paper
Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations2015-01-16Paper
https://portal.mardi4nfdi.de/entity/Q29244892014-11-03Paper
https://portal.mardi4nfdi.de/entity/Q29246902014-11-03Paper
A new reduced-order FVE algorithm based on POD method for viscoelastic equations2014-06-30Paper
A reduced-order MFE formulation based on POD method for parabolic equations2014-06-30Paper
https://portal.mardi4nfdi.de/entity/Q53996162014-02-28Paper
https://portal.mardi4nfdi.de/entity/Q54001192014-02-28Paper
https://portal.mardi4nfdi.de/entity/Q28583972013-11-19Paper
https://portal.mardi4nfdi.de/entity/Q28588632013-11-19Paper
A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations2013-10-10Paper
https://portal.mardi4nfdi.de/entity/Q28368432013-07-10Paper
https://portal.mardi4nfdi.de/entity/Q28387682013-07-10Paper
A reduced FE formulation based on POD method for hyperbolic equations2013-06-20Paper
https://portal.mardi4nfdi.de/entity/Q49005162013-01-24Paper
https://portal.mardi4nfdi.de/entity/Q49013602013-01-24Paper
A finite volume element formulation and error analysis for the non-stationary conduction-convection problem2012-10-19Paper
A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equations2012-08-30Paper
A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations2012-07-02Paper
A reduced MFE formulation based on POD for the non-stationary conduction-convection problems2012-06-01Paper
https://portal.mardi4nfdi.de/entity/Q28866732012-06-01Paper
https://portal.mardi4nfdi.de/entity/Q28874702012-06-01Paper
An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation2012-05-14Paper
Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation2012-05-10Paper
https://portal.mardi4nfdi.de/entity/Q31090942012-01-27Paper
https://portal.mardi4nfdi.de/entity/Q31091072012-01-27Paper
https://portal.mardi4nfdi.de/entity/Q31097492012-01-27Paper
A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem2011-10-24Paper
A reduced finite element formulation based on POD method for two-dimensional solute transport problems2011-10-24Paper
Numerical simulation based on POD for two-dimensional solute transport problems2011-07-21Paper
https://portal.mardi4nfdi.de/entity/Q30142422011-07-19Paper
https://portal.mardi4nfdi.de/entity/Q30166762011-07-19Paper
An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations2011-03-15Paper
A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems2011-03-09Paper
https://portal.mardi4nfdi.de/entity/Q30713152011-02-05Paper
A parallel two-level finite element method for the Navier-Stokes equations2011-01-17Paper
https://portal.mardi4nfdi.de/entity/Q35722882010-07-08Paper
Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations2010-05-06Paper
Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations2010-03-24Paper
https://portal.mardi4nfdi.de/entity/Q34047512010-02-12Paper
Finite element formulation based on proper orthogonal decomposition for parabolic equations2009-12-07Paper
Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model2009-11-06Paper
https://portal.mardi4nfdi.de/entity/Q53185772009-07-22Paper
https://portal.mardi4nfdi.de/entity/Q53197802009-07-22Paper
A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation2009-07-02Paper
Nonlinear Galerkin mixed element methods for stationary incompressible magnetohydrodynamics2009-07-01Paper
A reduced finite difference scheme based on singular value decomposition and proper orthogonal decomposition for Burgers equation2009-06-11Paper
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems2009-05-12Paper
https://portal.mardi4nfdi.de/entity/Q53029712009-01-15Paper
Galerkin-Petrov least squares mixed element method for stationary incompressible magnetohydrodynamics2008-09-01Paper
Discrete formulation of mixed finite element methods for vapor deposition chemical reaction equations2008-09-01Paper
https://portal.mardi4nfdi.de/entity/Q35136742008-08-06Paper
https://portal.mardi4nfdi.de/entity/Q54561172008-04-04Paper
https://portal.mardi4nfdi.de/entity/Q54358272008-01-14Paper
Differential space-time block-diagonal codes2007-12-06Paper
Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations2007-11-28Paper
An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model2007-09-12Paper
Reduced-order modeling of the upper tropical Pacific ocean model using proper orthogonal decomposition2007-09-03Paper
https://portal.mardi4nfdi.de/entity/Q34463662007-06-14Paper
A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition2007-05-11Paper
A decoupled conjugate gradient-Gauss-Newton iterative scheme for altimetry assimilation data problems2007-02-20Paper
Mixed finite element methods for the shallow water equations including current and silt sedimentation. I: The continuous-time case2005-01-03Paper
Mixed finite element methods for the shallow water equations including current and silt sedimentation. II: The discrete-time case along characteristics2004-12-29Paper
Difference scheme and numerical simulation based on mixed finite element method for natural convection problem2004-11-19Paper
A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations2003-08-07Paper
Convergence of simplified and stabilized mixed element formats based on bubble function for the Stokes problem2003-08-07Paper
https://portal.mardi4nfdi.de/entity/Q27217832003-08-05Paper
A type of new posteriori error estimators for Stokes problems2002-05-28Paper
A nonlinear Galerkin/Petrov-least squares mixed element method for the stationary Navier-Stokes equations.2002-01-01Paper
https://portal.mardi4nfdi.de/entity/Q27053732001-08-27Paper
https://portal.mardi4nfdi.de/entity/Q45183392001-07-03Paper
https://portal.mardi4nfdi.de/entity/Q45283772001-01-31Paper
https://portal.mardi4nfdi.de/entity/Q42410942000-11-14Paper
https://portal.mardi4nfdi.de/entity/Q38359261999-11-29Paper
Mixed Finite Element Analysis and Numerical Solitary Solution for the RLW Equation1999-05-19Paper
https://portal.mardi4nfdi.de/entity/Q42267261999-02-02Paper
https://portal.mardi4nfdi.de/entity/Q42267411999-02-02Paper
https://portal.mardi4nfdi.de/entity/Q43812981998-07-06Paper
https://portal.mardi4nfdi.de/entity/Q31230041997-03-06Paper
https://portal.mardi4nfdi.de/entity/Q42904951994-10-09Paper
Mixed finite element method of hexahedral elements for Navier-Stokes problem1993-06-13Paper
https://portal.mardi4nfdi.de/entity/Q40254121993-02-18Paper
https://portal.mardi4nfdi.de/entity/Q40254711993-02-18Paper
https://portal.mardi4nfdi.de/entity/Q52024391990-01-01Paper

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