Pengzhan Huang
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View article: Convex Optimization for Spacecraft Attitude Alignment of Laser Link Acquisition Under Uncertainties
Convex Optimization for Spacecraft Attitude Alignment of Laser Link Acquisition Under Uncertainties Open
This paper addresses the critical multiple-uncertainty challenge in laser link acquisition for space gravitational wave detection missions—a key bottleneck where spacecraft attitude alignment for laser link establishment is perturbed by in…
View article: Diffusion-empowered AutoPrompt MedSAM
Diffusion-empowered AutoPrompt MedSAM Open
MedSAM, a medical foundation model derived from the SAM architecture, has demonstrated notable success across diverse medical domains. However, its clinical application faces two major challenges: the dependency on labor-intensive manual p…
View article: An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization
An Arrow-Hurwicz-type iteration for the thermally coupled incompressible magnetohydrodynamics model with grad-div stabilization Open
This paper shows that, for the stationary thermally coupled incompressible magnetohydrodynamics problem, an application of the grad-div stabilization technique and a modification of the Arrow–Hurwicz iteration can improve the convergence r…
View article: Compact ADI Difference Scheme for the 2D Time Fractional Nonlinear Schrödinger Equation
Compact ADI Difference Scheme for the 2D Time Fractional Nonlinear Schrödinger Equation Open
In this paper, we will introduce a compact alternating direction implicit (ADI) difference scheme for solving the two-dimensional (2D) time fractional nonlinear Schrödinger equation. The difference scheme is constructed by using the L1−2−3…
View article: Diff-CXR: Report-to-CXR generation through a disease-knowledge enhanced diffusion model
Diff-CXR: Report-to-CXR generation through a disease-knowledge enhanced diffusion model Open
Text-To-Image (TTI) generation is significant for controlled and diverse image generation with broad potential applications. Although current medical TTI methods have made some progress in report-to-Chest-Xray (CXR) generation, their gener…
View article: Changes of Surface Water Resources in China's Mountains in the Past 50 Years
Changes of Surface Water Resources in China's Mountains in the Past 50 Years Open
Mountains, provide crucial water resources for the development of human society, are the water towers of the world. However, mountain water resources have undergone marked changes in recent decades, posing a threat to sustainable human dev…
View article: Numerical Solution of Time-Fractional Schrödinger Equation by Using FDM
Numerical Solution of Time-Fractional Schrödinger Equation by Using FDM Open
In this paper, we first established a high-accuracy difference scheme for the time-fractional Schrödinger equation (TFSE), where the factional term is described in the Caputo derivative. We used the L1-2-3 formula to approximate the Caputo…
View article: Large-Scale and Highly Efficient Production of Ultrafine PVA Fibers by Electro-Centrifugal Spinning for NH3 Adsorption
Large-Scale and Highly Efficient Production of Ultrafine PVA Fibers by Electro-Centrifugal Spinning for NH3 Adsorption Open
Ultrafine Polyvinyl alcohol (PVA) fibers have an outstanding potential in various applications, especially in absorbing fields. In this manuscript, an electrostatic-field-assisted centrifugal spinning system was designed to improve the pro…
View article: Analysis of Acoustic–Magnetic Fields Induced by Underwater Pressure Wave in a Finite-Depth Ocean
Analysis of Acoustic–Magnetic Fields Induced by Underwater Pressure Wave in a Finite-Depth Ocean Open
As underwater disturbances (natural or artificial) occur in the ocean, moving seawater crossing the geomagnetic fields will produce weak circular currents. These currents can induce measurable magnetic fields, which might be useful for mon…
View article: Well-posedness and finite element approximation for the steady-state closed-loop geothermal system
Well-posedness and finite element approximation for the steady-state closed-loop geothermal system Open
In this article, we study a multi-physics model for the closed-loop geothermal system consisting of some pipelines and a reservoir. The mathematical model for simulating this system mainly focuses on heat transfer between porous media in t…
View article: A decoupled algorithm for fluid-fluid interaction at small viscosity
A decoupled algorithm for fluid-fluid interaction at small viscosity Open
In this paper, a decoupled finite element algorithm is proposed for solving the fluid-fluid interaction at small viscosity. The basic idea of the presented algorithm is to first solve an artificial viscosity elliptic problem with explicit …
View article: A TWO-GRID DECOUPLED FINITE ELEMENT METHOD FOR THE STATIONARY CLOSED-LOOP GEOTHERMAL SYSTEM
A TWO-GRID DECOUPLED FINITE ELEMENT METHOD FOR THE STATIONARY CLOSED-LOOP GEOTHERMAL SYSTEM Open
A two-grid decoupled finite element method is proposed and analyzed for the stationary closed-loop geothermal model, which is coupled by the Navier-Stokes/Darcy equations and the heat equations with some interface conditions. The main idea…
View article: Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model
Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model Open
In this paper, a fully discrete finite element scheme with second-order temporal accuracy is proposed for a fluid-fluid interaction model, which consists of two Navier-Stokes equations coupled by a linear interface condition. The proposed …
View article: Multi-Objective Optimization Design of Ladle Refractory Lining Based on Genetic Algorithm
Multi-Objective Optimization Design of Ladle Refractory Lining Based on Genetic Algorithm Open
Genetic algorithm is widely used in multi-objective mechanical structure optimization. In this paper, a genetic algorithm-based optimization method for ladle refractory lining structure is proposed. First, the parametric finite element mod…
View article: A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model
A Uzawa-Type Iterative Algorithm for the Stationary Natural Convection Model Open
In this study, a Uzawa-type iterative algorithm is introduced and analyzed for solving the stationary natural convection model, where physical variables are discretized by utilizing a mixed finite element method. Compared with the common U…
View article: Finite Element Iterative Methods for the Stationary Double-Diffusive Natural Convection Model
Finite Element Iterative Methods for the Stationary Double-Diffusive Natural Convection Model Open
In this paper, we consider the stationary double-diffusive natural convection model, which can model heat and mass transfer phenomena. Based on the fixed point theorem, the existence and uniqueness of the considered model are proved. Moreo…
View article: Defect-deferred correction method for the non-stationary coupled Stokes/Darcy model
Defect-deferred correction method for the non-stationary coupled Stokes/Darcy model Open
This paper develops the defect-deferred correction method to solve the non-stationary coupled Stokes/Darcy model. This method is a combination of defect correction method and deferred correction method. And it can not only achieve the seco…
View article: A decoupling finite element method with different time steps for the micropolar fluid model
A decoupling finite element method with different time steps for the micropolar fluid model Open
In this paper, a decoupling finite element method with different time steps for the micropolar fluid model is considered. The theoretical analysis shows that the proposed method is stable and convergent. Further, in order to show the effic…
View article: A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method Open
In this paper, we present a finite element algorithm for the time-dependent nematic liquid crystal flow based on the Gauge-Uzawa method.This algorithm combines the Gauge and Uzawa methods within a finite element variational formulation, wh…
View article: Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows
Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows Open
We devote the present paper to a fully discrete finite element scheme for the 2D/3D nonstationary incompressible magnetohydrodynamic-Voigt regularization model. This scheme is based on a finite element approximation for space discretizatio…
View article: Issue Information
Issue Information Open
An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spect…
View article: A linear, stabilized, non-spatial iterative, partitioned time stepping method for the nonlinear Navier–Stokes/Navier–Stokes interaction model
A linear, stabilized, non-spatial iterative, partitioned time stepping method for the nonlinear Navier–Stokes/Navier–Stokes interaction model Open
\n In this paper, a linear, stabilized, non-spatial iterative, partitioned time stepping method is developed and studied for the nonlinear Navier–Stokes/Navier–Stokes interaction. A backward Euler scheme is utilized for the temporal discre…
View article: A fully discrete finite element scheme for the Kelvin-Voigt model
A fully discrete finite element scheme for the Kelvin-Voigt model Open
In this paper, we study convergence of a fully discrete scheme for the two-dimensional nonstationary Kelvin-Voigt model. This scheme is based on a finite element approximation for space discretization and the Crank-Nicolson-type scheme for…
View article: <i>H</i><sup>2</sup>-stability of some second order fully discrete schemes for the Navier-Stokes equations
<i>H</i><sup>2</sup>-stability of some second order fully discrete schemes for the Navier-Stokes equations Open
This paper considers the $H^2$-stability results for the second order fully discrete schemes based on the mixed finite element method for the 2D time-dependent Navier-Stokes equations with the initial data $u_0∈ H^α, $ where $α = 0, ~1$ an…
View article: A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation
A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation Open
In this paper, firstly, we solve the linear 3D Schrödinger equation using Douglas–Gunn alternating direction implicit (ADI) scheme and high-order compact (HOC) ADI scheme, which have the order O(τ2+h2) $O(\tau^{2}+h^{2})$ and O(τ2+h4) $O(\…