云南高校图书馆联盟文献共享服务平台- PETROV-GALERKIN

PETROV-GALERKIN: 作品数：59被引量：78H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：冯民富孔令霞吴正唐世敏程思睿更多>>; 相关机构：四川大学北京大学中山大学中国石油大学（北京）更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划上海市教育委员会重点学科基金更多>>

A UNIFORM CONVERGENT PETROV-GALERKIN METHOD FOR A CLASS OF TURNING POINT PROBLEMS: 《Journal of Computational Mathematics》2024年第5期1356-1379,共24页Li Feng Zhongyi Huang; supported by the NSFC(Grant No.12025104).; In this paper,we propose a numerical method for turning point problems in one dimension based on Petrov-Galerkin finite element method(PGFEM).We first give a priori estimate for the turning point problem with a single...; 关键词：Turning point problem Petrov-Galerkin finite element method Uniform convergency

复杂等离子体光子晶体能带结构计算: 《工程数学学报》2024年第2期341-364,共24页卢欣旷盈杨洁王志杰王立群; 国家自然科学基金(12171482);中国石油大学油气资源与探测国家重点实验室项目(PRP/DX-2307).; 等离子体光子晶体是由等离子体和其他介电材料或者真空构成的,具有周期性结构,其可调控的带隙特性使得等离子体光子晶体在滤波器、等离子体隐身衣和等离子体透镜等军事医学器件制造上具有广泛的应用。因此,通过改变等离子体的密度、温...; 关键词：等离子体光子晶体 Petrov-Galerkin有限元法半笛卡尔投影网格界面非线性连续条件能带结构

广义Rosenau-Kawahara方程的有效谱方法: 《上海理工大学学报》2024年第1期30-35,86,共7页文贤王中庆; 国家自然科学基金资助项目(12071294);上海市自然科学基金资助项目(22ZR1443800)。; 针对广义Rosenau-Kawahara方程提出了Legendre dual-Petrov-Galerkin谱方法,并基于对角化技巧,构建了快速有效算法。在此基础上研究了单个孤立波的传播、守恒律及波的生成等物理现象。数值结果验证了所提算法的有效性。; 关键词：Legendre dual-Petrov-Galerkin谱方法广义Rosenau-Kawahara方程孤立波守恒律

Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media: 《Communications in Computational Physics》2023年第7期530-562,共33页Meiling Zhao Jiahui He Liqun Wang; supported by the National Natural Science Foundation of China(No.12271159);the Natural Science Foundation of Hebei Province(No.A2020502003);the Fundamental Research Funds for the Central Universities(No.2021MS115);supported by the National Natural Science Foundation of China(No.12171482);the State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum(No.PRP/DX-2307).; In this paper,the electromagnetic scattering from overfilled cavities with inhomogeneous anisotropic media is investigated.To solve the scattering problem,a Petrov-Galerkin finite element interfacemethod on non-body-f...; 关键词：Electromagnetic scattering overfilled cavity inhomogeneous anisotropicmedia nonbody-fitted grids Petrov-Galerkin finite element interface method

多维SUPG格式不可压流动高精度算法研究: 《力学季刊》2023年第1期113-121,共9页韩向科苏波郭彤宋凯; 国家自然科学基金(51108210);江苏省博士后基金(1301048C)。; 在传统流线迎风Petrov-Galerkin (SUPG)有限元法基础上,通过对稳定因子关键参数进行分析,提出了基于流向投影的最优特征高度参数确定方法,同时针对不可压流动引入变量分裂算法,发展了一种可用于高雷诺数不可压流动计算的高精度稳定化SUP...; 关键词：不可压流动流线迎风Petrov-Galerkin 分裂算法最优参数

The Magnetic Field as Trigger for Disturbances of a Flow of a Newtonian Fluid through a Cylindrical Pipe with a Horizontal Axis: 《Modern Mechanical Engineering》2022年第4期83-97,共15页Ibrahima Kama Mamadou Lamine Sow Cheikh Mbow; A Fourrier Petrov Galerkin spectral method is described for high accuracy computation of linearized dynamics for flow in a circular pipe. The code used here is based on solenoidal velocity variables. It is written in ...; 关键词：Newtonian Fluids Magnetic Field Linear Stability PETROV-GALERKIN Generalized Eigenvalue Problem

A Unified Petrov-Galerkin Spectral Method and Fast Solver for Distributed-Order Partial Differential Equations: 《Communications on Applied Mathematics and Computation》2021年第1期61-90,共30页Mehdi Samiee Ehsan Kharazmi Mark M.Meerschaert Mohsen Zayernouri; This work was supported by the AFOSR Young Investigator Program(YIP)award(FA9550-17-1-0150),the MURI/ARO(W911NF-15-1-0562);tthe National Science Foundation Award(DMS-1923201);the ARO Young Investigator Program Award(W911NF-19-1-0444)。; Fractional calculus and fractional-order modeling provide effective tools for modeling and simulation of anomalous diffusion with power-law scalings.In complex multi-fractal anomalous transport phenomena,distributed-o...; 关键词：Distributed Sobolev space Well-posedness analysis Discrete inf-sup condition Spectral convergence Jacobi poly-fractonomials Legendre polynomials

非线性色散方程的局部间断Petrov-Galerkin 方法被引量：2: 《流体动力学》2020年第4期53-61,共9页苏晟洁高巍; 本文给出数值求解非线性色散偏微分方程K(n, n)的一种方法。空间离散基于局部间断Petrov-Galerkin方法,时间离散基于三阶TVD Runge-Kutta方法。通过数值模拟试验证明该方法达到了最优收敛阶,能够较好地模拟紧孤子传播和碰撞等复杂波的...; 关键词：非线性色散偏微分方程局部间断Petrov-Galerkin方法紧孤子

求解广义Burgers-Huxley方程和广义Burgers-Fisher方程的一类局部间断Petrov-Galerkin方法研究被引量：1: 《高等学校计算数学学报》2020年第3期193-208,共16页赵国忠郭怀民郭鹏云田兵; The National Natural Science Foundation of China(Grant Nos.11761054,11261035);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-15-A07);the Natural Science Foundation of Inner Mongolia Autonomous Region(Grant Nos.2015MS0108,2012MS0102).; In this paper,we proposed a local discontinuous Petrov-Galerkin method for the generalized Burgers-Huxley equation and the generalized Burgers-Fisher equation.The stability analysis of the method is derived for two sp...; 关键词：generalized Burgers-Huxley equation generalized Burgers-Fisher equation local Discontinuous Petrov-Galerkin method convergence order numerical flux

Efficient Laguerre and Hermite Spectral Methods for Odd-order Differential Equations in Unbounded Domains: 《Journal of Mathematical Study》2020年第2期192-211,共20页Cheng Xu Xuhong Yu Zhongqing Wang; supported in part by National Natural Science Foundation of China(Grant No,11571238,11601332 and 11871043); Laguerre dual-Petrov-Galerkin spectral methods and Hermite Galerkin spec-tral methods for solving odd-order differential equations in unbounded domains are proposed.Some Sobolev bi-orthogonal basis functions are const...; 关键词：Dual-Petrov-Galerkin spectral methods Laguerre functions Hermite functions Sobolev bi-orthogonal functions odd-order differential equations

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