- Electromagnetic Simulation and Numerical Methods
- Advanced Numerical Methods in Computational Mathematics
- Electromagnetic Scattering and Analysis
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- Numerical methods in inverse problems
- Magnetic Properties and Applications
- Advanced Chemical Sensor Technologies
- Gas Sensing Nanomaterials and Sensors
- Composite Material Mechanics
- Carbon and Quantum Dots Applications
- Energy, Environment, Economic Growth
- Differential Equations and Numerical Methods
- Advanced Nanomaterials in Catalysis
- Lightning and Electromagnetic Phenomena
- Luminescence and Fluorescent Materials
- Conducting polymers and applications
- Advanced biosensing and bioanalysis techniques
- Climate Change Policy and Economics
- Advanced Sensor and Energy Harvesting Materials
- Induction Heating and Inverter Technology
- Energy, Environment, and Transportation Policies
- Luminescence Properties of Advanced Materials
- Radiation Detection and Scintillator Technologies
Beijing University of Technology
2018-2024
Xidian University
2018-2022
Beijing University of Posts and Telecommunications
2016-2018
Development Research Center
2018
Beihang University
2018
Purdue University West Lafayette
2017
Chinese Academy of Sciences
2011-2013
Academy of Mathematics and Systems Science
2013
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...
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 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...
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...
In this research, four steps including synthesis experiment, brightness evaluation, optimized calculation using as fitness reference, and new calculated composition for the next preparation have been proceeded to find brightest Eu3+ doped phosphors combined with chemical experiments genetic algorithm (GA) calculation. The evolutionary operations, such elitism, selection, crossover, mutation, are applied compound combination. Feasible combination would be obtained until phosphor is found...
Consider the incidence of a time-harmonic electromagnetic plane wave onto biperiodic dielectric grating, where surface is assumed to be small and smooth perturbation plane.The diffraction modeled as transmission problem for Maxwell's equations in three dimensions.This paper concerns inverse which reconstruct grating from either diffracted field or transmitted field.A novel approach developed solve challenging nonlinear ill-posed problem.The method requires only single incident realized via...
Abstract Consider the scattering of a time-harmonic acoustic incident wave by bounded, penetrable, and isotropic elastic solid, which is immersed in homogeneous compressible air or fluid. The paper concerns numerical solution for such an acoustic-elastic interaction problem three dimensions. An exact transparent boundary condition (TBC) developed to reduce equivalently into value bounded domain. perfectly matched layer (PML) technique adopted truncate unbounded physical domain computational...
Abstract We consider the diffraction of an electromagnetic plane wave by a biperiodic structure. This paper is concerned with numerical solution grating problem for three-dimensional Maxwell’s equations. Based on Dirichlet-to-Neumann (DtN) operator, equivalent boundary value formulated in bounded domain using transparent condition. An posteriori error estimate-based adaptive edge finite element method developed variational truncated DtN operator. The estimate takes account both approximation...
Abstract In this paper, hp -adaptive finite element methods are studied for time-harmonic Maxwell’s equations. We propose the parallel algorithms on conforming unstructured tetrahedral meshes based residual-based a posteriori error estimates. Extensive numerical experiments reported to investigate efficiency of point singularities, edge and an engineering benchmark problem The show much better performance than h method.
The perfectly matched layer (PML) method is extensively studied for scattering problems in homogeneous background media. However, rigorous studies on the PML layered media are very rare literature, particularly, three-dimensional electromagnetic problems. Cartesian favorable numerical solutions since it apt to deal with anisotropic scatterers and construct finite element meshes. Its theories more difficult than circular due wave-absorbing materials. This paper presents a systematic study...
Consider the diffraction of an electromagnetic plane wave by a biperiodic structure where propagation is governed three-dimensional Maxwell equations. Based on transparent boundary condition, grating problem formulated into value in bounded domain. Using duality argument technique, we derive posteriori error estimate for finite element method with truncation nonlocal Dirichlet-to-Neumann (DtN) operator. The consists both approximation and operator which decays exponentially respect to...
Consider the scattering of a time-harmonic elastic plane wave by bi-periodic rigid surface. The displacement motion is modeled three-dimensional Navier equation in an unbounded domain above Based on Dirichlet-to-Neumann (DtN) operator, which given as infinite series, exact transparent boundary condition introduced and problem formulated equivalently into value bounded domain. An posteriori error estimate based adaptive finite element DtN method proposed to solve discrete variational where...
A second‐order asymptotic analysis method is developed for the Steklov eigenvalue problem in periodically perforated domain. By two‐scale expansions of eigenfunctions and eigenvalues, first‐ cell functions defined on representative are obtained successively, homogenized elliptic formulated, effective coefficients derived. The correctors eigenvalues expressed terms integrations eigenfunctions. error estimations established, corresponding finite element algorithm proposed. Numerical examples...
Conductive polymers based sensors are potentially a powerful tool for detecting variety of analytes in gas phase. However, the accuracy and reliability such threatened by humidity interference, which limits their use demanding applications, e.g., air-quality monitoring health care. Thus, there is an urgent need to suppress response conductive humidity. In this work, surface polyaniline (PANI) was modified fatty acid block proton exchange between water molecules PANI polymer chains thus...
In this paper, we study the two-dimensional Helmholtz scattering problem by a locally perturbed line with impedance boundary condition.Different from Dirichlet condition, Green function of equation condition becomes very complicated and comprises surface waves along line.A uniaxial perfectly matched layer (UPML) method is proposed to truncate half plane into bounded computational domain.The main contribution paper prove well-posedness PML exponential convergence approximate solution exact as...