A5103214233- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Simulation and Numerical Methods
- Numerical methods in engineering
- Electromagnetic Scattering and Analysis
- Advanced Mathematical Modeling in Engineering
- Computational Fluid Dynamics and Aerodynamics
- Numerical methods for differential equations
- Magnetic Properties and Applications
- Elasticity and Material Modeling
- Differential Equations and Numerical Methods
- Numerical methods in inverse problems
- Lattice Boltzmann Simulation Studies
- Plant biochemistry and biosynthesis
- Matrix Theory and Algorithms
- Orthodontics and Dentofacial Orthopedics
- Non-Destructive Testing Techniques
- Phytochemistry and Biological Activities
- Fluid Dynamics and Turbulent Flows
- Microwave Imaging and Scattering Analysis
- Advanced Memory and Neural Computing
- Digital Imaging in Medicine
- Dust and Plasma Wave Phenomena
- Chalcogenide Semiconductor Thin Films
- Neuroscience and Neural Engineering
- Gas Dynamics and Kinetic Theory
Shenzhen University
2023-2025
Zhejiang Yuexiu University
2022-2024
Shaoxing University
2022-2024
Academy of Mathematics and Systems Science
2006-2023
National Center for Mathematics and Interdisciplinary Sciences
2013-2023
University of Chinese Academy of Sciences
2017-2023
Chinese Academy of Sciences
2013-2023
Zhengzhou University
2023
University of Oslo
2023
NORCE Norwegian Research Centre
2023
We propose a finite element method for the three-dimensional transient incompressible magnetohydrodynamic equations that ensures exactly divergence-free approximations of velocity and magnetic induction. employ second-order semi-implicit timestepping, which we rigorously establish an energy law and, as consequence, unconditional stability. prove unique solvability linear systems to be solved in every timestep. For those design efficient preconditioner so number preconditioned GMRES...
Abstract Mid-infrared (Mid-IR) photodetection and imaging are pivotal across diverse applications, including remote sensing, communication, spectral analysis. Among these, single-pixel technology is distinguished by its exceptional sensitivity, high resolution attainable through the sampling system, economic efficiency. The quality of primarily depends on performance photodetector system. Photodetectors based black phosphorus (BP) exhibit low dark current, specific detectivity ( D * ),...
The development of polarization photodetectors utilizing two-dimensional materials holds significant promise due to their distinctive properties and potential for high integration. However, a major limitation most current is lack tuning capability, which restricts the versatility individual devices. In this study, nonvolatile ferroelectric tunable photodetector explored based on 2H α-In2Se3. semiconductor field-effect transistor (FeS-FET) α-In2Se3 were fabricated, demonstrating an on/off...
We develop an adaptive edge finite element method based on reliable and efficient residual‐based a posteriori error estimates for low‐frequency time‐harmonic Maxwell equations with singularities. The resulting discrete problem is solved by the multigrid preconditioned MINRES (minimum residual) iteration algorithm. demonstrate efficiency robustness of proposed extensive numerical experiments cavity problems singular solutions which include, in particular, scattering over screens.
In this paper, we propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. The exterior region of scatterer is divided into two half spaces by an infinite plane, on sides which wave number takes different values. We surround computational domain where field interested PML with medium property. By imposing homogeneous boundary condition outer PML, show that solution problem converges exponentially to original as either...
This paper is concerned with the analysis of electromagnetic wave scattering in inhomogeneous medium infinite rough surfaces. Consider a time-harmonic field generated by either magnetic dipole or an electric incident on surface. The dielectric permittivity assumed to have positive imaginary part which accounts for energy absorption. problem modeled as boundary value governed Maxwell equations, transparent conditions proposed plane surfaces inhomogeneity between. existence and uniqueness weak...
A charge-conservative finite element method is proposed to solve the inductionless and incompressible magnetohydrodynamic (MHD) equations in three dimensions. The yields an exactly divergence-free current density directly. We prove that, as spatial mesh size $h\to 0$, fully discrete solutions converge of semicontinuous problem weakly ${H}^1(\Omega)\times{H}({div},\Omega)$ upon extracted subsequence, time step $\tau\to semi-continuous continuous...
To deal with the divergence-free constraint in a double curl problem, ${\rm curl\,} \mu^{-1} {\rm u=f$ and div\,} \varepsilon u=0$ $\Omega$, where $\mu$ $\varepsilon$ represent physical properties of materials occupying we develop $\delta$-regularization method, u_\delta +\delta u_\delta=f$, to completely ignore u=0$. We show that $u_\delta$ converges $u$ $H({\rm curl\,};\Omega)$ norm as $\delta\rightarrow 0$. The edge finite element method is then analyzed for solving $u_\delta$. With...
Abstract Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions, where propagation is governed Helmholtz equation. The problem modeled as a boundary value over bounded domain. Based on Dirichlet-to-Neumann (DtN) operator, transparent condition introduced artificial circular enclosing obstacle. An adaptive finite element based posterior error estimate presented to solve with nonlocal DtN condition. Numerical experiments are included compare perfectly matched layer...
The perfectly matched layer (PML) method is well-studied for acoustic scattering problems, electromagnetic and, more recently, elastic with homogeneous background media. purpose of this paper to present the stability and exponential convergence PML a three-dimensional problem in two-layer medium. main contributions are threefold. First, we establish well-posedness original any Dirichlet boundary value $\boldsymbol{H}^{-1/2}({\rm Div},\Gamma_D),$ where $\Gamma_D$ stands scatterer. Second,...
An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by periodic surface. First, unbounded physical domain truncated into bounded computational introducing perfectly matched layer (PML) technique. The well-posedness and exponential convergence solution are established PML problem developing an equivalent transparent boundary condition. Second, posteriori error estimate deduced discrete used to determine elements refinements parameters....
In [L. Li, M. Ni, and W. Zheng, SIAM J. Sci. Comput., 41 (2019), pp. B796--B815] a charge-conservative finite element method is proposed for solving inductionless incompressible magnetohydrodynamic (MHD) equations. The purpose of this paper to propose robust solver the discrete problem. Using framework field-of-values-equivalence, we first study preconditioned Krylov space continuous problem in setting Hilbert spaces. algebraic preconditioner then obtained by representing By three numerical...
Given a shape regular tetrahedron and curved surface that is defined implicitly by nonlinear level set function divides the into two sub-domains, general-purpose, robust, high-order numerical algorithm proposed in this article for computing both volume integrals sub-domains on their common boundary. The uses direct approach decomposes 3D or 2D multiple 1D computes with Gaussian quadratures. It only requires finding roots of univariate functions given intervals evaluating integrand, function,...
We consider H (curl, Ω)-elliptic variational problems on bounded Lipschitz polyhedra and their finite element Galerkin discretization by means of lowest order edge elements.We assume that the underlying tetrahedral mesh has been created successive local refinement, either uniform refinement with hanging nodes or bisection refinement.In this setting we develop a convergence theory for so-called multigrid correction scheme hybrid smoothing.We establish its rate is respect to number steps.The...
In this paper, we propose a new eddy current model for the nonlinear Maxwell equations with laminated conductors. Direct simulation of three-dimensional (3D) currents in grain-oriented (GO) silicon steel laminations is very challenging since coating film over each lamination only several microns thick and magnetic reluctivity anisotropic. The system GO has multiple sizes, ratio largest scale to smallest can amount $10^6$. omits films thus reduces by 2--3 orders magnitude. It avoids fine or...
Abstract A uniaxial perfectly matched layer (PML) method is proposed for solving the scattering problem with multiple cavities. By virtue of integral representation field, we decompose into a system single-cavity problems which are coupled Dirichlet-to-Neumann maps. PML introduced to truncate exterior domain each cavity such that computational does not intersect those other Based on posteriori error estimates, an adaptive finite element algorithm solve system. The novelty its complexity...
This paper is concerned with the mathematical analysis of scattering a time‐harmonic electromagnetic plane wave by an open and overfilled cavity that embedded in perfect electrically conducting infinite ground plane, where propagation governed Maxwell equations. Above flat surface aperture cavity, space assumed to be filled homogeneous medium constant permittivity permeability, whereas interior some inhomogeneous variable permeability. The problem modeled as boundary value over bounded...
This paper is concerned with the analysis of elastic wave scattering a time-harmonic plane by biperiodic rigid surface, where propagation governed three-dimensional Navier equation. An exact transparent boundary condition developed to reduce problem equivalently into value in bounded domain. The perfectly matched layer (PML) technique adopted truncate unbounded physical domain computational well-posedness and exponential convergence solution are established for truncated PML developing...