GALERKIN

作品数：390被引量：594H指数：12
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基于改进随机响应面法的电-气-热区域综合能源系统概率能量流计算
《电力系统保护与控制》2025年第5期69-81,共13页沈赋 张宇涛 王健 杨光兵 陈雪鸥 曹旸 翟苏巍 
国家自然科学基金项目资助(52107097);云南省应用基础研究计划项目资助(202101BE070001-061,202201AU070111);昆明理工大学高层次人才平台建设项目资助(KKZ7202004004);云南省兴滇英才支持计划项目资助(KKRD202204021)。
考虑风光出力的相关性及不确定性对电-气-热区域综合能源系统(regional integrated energy systems,RIES)的影响日渐明显,通过对电-气-热RIES概率能量流的分析可直观地反映其运行状态的变化。首先,计及风光出力相关性与随机变量不确定性...
关键词：区域综合能源系统 概率能量流 相关性 随机响应面法 Galerkin投影法 
High Order ADER-IPDG Methods for the Unsteady Advection-Diffusion Equation
《Communications on Applied Mathematics and Computation》2024年第3期1954-1977,共24页Michel Bergmann Afaf Bouharguane Angelo Iollo Alexis Tardieu 
We present a high-order Galerkin method in both space and time for the 1D unsteady linear advection-diffusion equation. Three Interior Penalty Discontinuous Galerkin (IPDG) schemes are detailed for the space discretiz...
关键词：ADVECTION-DIFFUSION GALERKIN Arbitrary high order DERivatives(ADER)approach Interior Penalty Discontinuous Galerkin(IPDG) High-order schemes Empirical convergence rates 
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems
《Journal of Applied Mathematics and Physics》2024年第6期2083-2101,共19页Snigdha Dhar Md. Shafiqul Islam 
This paper is devoted to find the numerical solutions of one dimensional general nonlinear system of third-order boundary value problems (BVPs) for the pair of functions using Galerkin weighted residual method. We der...
关键词：System of Third-Order BVP Galerkin Method Bernstein Polynomials Nonlinear BVP Higher-Order BVP 
Winkler弹性介质中多孔功能梯度材料截锥壳的弯曲
《材料研究与应用》2024年第3期502-508,共7页郑亮 冯立志 王佳恒 
弹性介质中板壳结构的力学特性研究,大都假设结构体在变形过程中始终与介质紧密接触。为研究可脱离的Winkler弹性介质中含孔隙功能梯度材料截锥壳在环向荷载作用下的弯曲问题,以陶瓷材料质量分数、体积指数和孔隙率为控制参数,根据混合...
关键词：弹性介质 功能梯度材料 孔隙 截锥壳 弯曲 Donnell理论 Galerkin积分法 结构刚度 
Numerical manifold method for thermo-mechanical coupling simulation of fractured rock mass被引量：1
《Journal of Rock Mechanics and Geotechnical Engineering》2024年第6期1977-1992,共16页Jiawei Liang Defu Tong Fei Tan Xiongwei Yi Junpeng Zou Jiahe Lv 
supported by the National Natural Science Foundation of China(Grant No.42277165);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(Grant No.CUGCJ1821);the National Overseas Study Fund(Grant No.202106410040).
As a calculation method based on the Galerkin variation,the numerical manifold method(NMM)adopts a double covering system,which can easily deal with discontinuous deformation problems and has a high calculation accura...
关键词：Heat conduction Fractured rock mass Crack propagation Galerkin variation Numerical manifold method(NMM) 
Exact solution for thermal vibration of multi-directional functionally graded porous plates submerged in fluid medium
《Defence Technology（防务技术）》2024年第5期77-99,共23页Quoc-Hoa Pham Van Ke Tran Phu-Cuong Nguyen 
An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties ...
关键词：Plate-fluid contact Galerkin Vlasov's method Multi-directional functionally graded plate Novel porosity Thermal vibration Refined higher-order shear deformation theory 
Wavelet Multi-Resolution Interpolation Galerkin Method for Linear Singularly Perturbed Boundary Value Problems
《Computer Modeling in Engineering & Sciences》2024年第4期297-318,共22页Jiaqun Wang Guanxu Pan Youhe Zhou Xiaojing Liu 
supported by the National Natural Science Foundation of China (No.12172154);the 111 Project (No.B14044);the Natural Science Foundation of Gansu Province (No.23JRRA1035);the Natural Science Foundation of Anhui University of Finance and Economics (No.ACKYC20043).
In this study,a wavelet multi-resolution interpolation Galerkin method(WMIGM)is proposed to solve linear singularly perturbed boundary value problems.Unlike conventional wavelet schemes,the proposed algorithm can be r...
关键词：Wavelet multi-resolution interpolation Galerkin singularly perturbed boundary value problems mesh-free method Shishkin node boundary layer 
Three-dimensional numerical manifold method for heat conduction problems with a simplex integral on the boundary
《Science China(Technological Sciences)》2024年第4期1007-1022,共16页TONG DeFu YI XiongWei TAN Fei JIAO YuYong LIANG JiaWei 
supported by the National Natural Science Foundation of China(Grant Nos.42277165,41920104007,and 41731284);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(Grant Nos.CUGCJ1821 and CUGDCJJ202234);the National Overseas Study Fund(Grant No.202106410040)。
The three-dimensional numerical manifold method(3D-NMM),which is based on the derivation of Galerkin's variation,is a powerful calculation tool that uses two cover systems.The 3D-NMM can be used to handle continue-dis...
关键词：three-dimensional numerical manifold method transient analysis heat conduction problem Galerkin variation simplex integration 
变系数Volterra型积分微分方程的2种Legendre谱Galerkin数值积分方法
《桂林电子科技大学学报》2024年第1期68-74,共7页范友康 张克磊 覃永辉 
国家自然科学基金(12161025);广西自动检测技术与仪器重点实验室基金(YQ22106);广西科技基地和人才专项(桂科AD18281025);桂林电子科技大学研究生教育创新计划(2020YCXS086)。
为了进一步提高求解Volterra型积分微分的数值精度,针对一种变系数Volterra型积分微分方程,提出了2种Legendre谱Galerkin数值积分法。采用Galerkin Legendre数值积分对Volterra型积分微分方程的积分项进行预处理,对其构造Legendre tau格...
关键词：积分微分方程 数值积分 Chebyshev-Gauss-Lobatto插值 最小二乘法 Legendre Galerkin 
Four-Order Superconvergent Weak Galerkin Methods for the Biharmonic Equation on Triangular Meshes
《Communications on Applied Mathematics and Computation》2023年第4期1323-1338,共16页Xiu Ye Shangyou Zhang 
A stabilizer-free weak Galerkin(SFWG)finite element method was introduced and analyzed in Ye and Zhang(SIAM J.Numer.Anal.58:2572–2588,2020)for the biharmonic equation,which has an ultra simple finite element formulat...
关键词：Finite element Weak Hessian Weak Galerkin(WG) Biharmonic equation Triangular mesh 
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