云南高校图书馆联盟文献共享服务平台- DISCRETE

DISCRETE: 作品数：1293被引量：1675H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：潘和平孟庆鑫郑洲顺郑珊王爽更多>>; 相关机构：南京航空航天大学清华大学西安交通大学东南大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

A STABILIZER FREE WEAK GALERKIN FINITE ELEMENT METHOD FOR BRINKMAN EQUATIONS: 《Journal of Computational Mathematics》2025年第1期1-17,共17页Haoning Dang Qilong Zhai Ran Zhang Hui Peng; supported by the National Natural Science Foundation of China(Grant Nos.1901015,12271208,11971198,91630201,11871245,11771179,11826101);by the Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education,Jilin University.; We develop a stabilizer free weak Galerkin (SFWG) finite element method for Brinkman equations. The main idea is to use high order polynomials to compute the discrete weak gradient and then the stabilizing term is rem...; 关键词：Brinkman equations Weak Galerkin method Stabilizer free Discrete weak differential operators

ON DISCRETE ENERGY DISSIPATION OF MAXWELL’S EQUATIONS IN A COLE-COLE DISPERSIVE MEDIUM: 《Journal of Computational Mathematics》2023年第5期980-1002,共23页Baoli Yin Yang Liu Hong Li Zhimin Zhang; supported in part by the Grant No.NSFC 12201322;supported in part by Grant No.NSFC 12061053;supported in part by the Grant Nos.NSFC 12161063 and the NSF of Inner Mongolia 2021MS01018;supported in part by Grant Nos.NSFC 11871092 and NSAF U1930402.; A simple criterion is studied for the first time for identifying the discrete energy dissipation of the Crank-Nicolson scheme for Maxwell’s equations in a Cole-Cole dispersive medium.Several numerical formulas that a...; 关键词：Discrete energy dissipation Crank-Nicolson scheme Maxwell’s equations Shifted fractional trapezoidal rule Mixed finite element methods

DISCRETE ENERGY ANALYSIS OF THE THIRD-ORDER VARIABLE-STEP BDF TIME-STEPPING FOR DIFFUSION EQUATIONS被引量：2: 《Journal of Computational Mathematics》2023年第2期325-344,共20页Hong-lin Liao Tao Tang Tao Zhou; supported by NSF of China under grant number 12071216;supported by NNW2018-ZT4A06 project;supported by NSF of China under grant numbers 12288201;youth innovation promotion association(CAS).; This is one of our series works on discrete energy analysis of the variable-step BDF schemes.In this part,we present stability and convergence analysis of the third-order BDF(BDF3)schemes with variable steps for linea...; 关键词：Diffusion equations Variable-step third-order BDF scheme Discrete gradient structure Discrete orthogonal convolution kernels Stability and convergence

THEORETICAL ANALYSES ON DISCRETE FORMULAE OF DIRECTIONAL DIFFERENTIALS IN THE FINITE POINT METHOD: 《Journal of Computational Mathematics》2022年第1期1-25,共25页Guixia Lv Longjun Shen; supported by the National Natural Science Foundation of China(11671049);the Foundation of LCP,and the CAEP Foundation(CX2019026).; For the five-point discrete formulae of directional derivatives in the finite point method,overcoming the challenge resulted from scattered point sets and making full use of the explicit expressions and accuracy of th...; 关键词：Finite point method Finite difference Scattered point distribution Discrete directional differentials Theoretical analysis

ANALYSIS ON A NUMERICAL SCHEME WITH SECOND-ORDER TIME ACCURACY FOR NONLINEAR DIFFUSION EQUATIONS: 《Journal of Computational Mathematics》2021年第5期777-800,共24页Xia Cui Guangwei Yuan Fei Zhao; This work is supported by the National Natural Science Foundation of China(11871112,11971069,11971071,U1630249);Yu Min Foundation and the Foundation of LCP.; A nonlinear fully implicit finite difference scheme with second-order time evolution for nonlinear diffusion problem is studied.The scheme is constructed with two-layer coupled discretization(TLCD)at each time step.It...; 关键词：Nonlinear diffusion problem Nonlinear two-layer coupled discrete scheme Second-order time accuracy Property analysis Unique existence CONVERGENCE

A ROBUST DISCRETIZATION OF THE REISSNER-MINDLIN PLATE WITH ARBITRARY POLYNOMIAL DEGREE: 《Journal of Computational Mathematics》2020年第1期1-13,共13页Dietmar Gallistl Mira Schedensack; A numerical scheme for the Reissner-Mindlin plate model is proposed.The method is based on a discrete Helmholtz decomposition and can be viewed as a generalization of the nonconforming finite element scheme of Arnold ...; 关键词：Reissner-Mindlin plate Nonconforming finite element Discrete Helmholtz decomposition ROBUSTNESS

HOW TO PROVE THE DISCRETE RELIABILITY FOR NONCONFORMING FINITE ELEMENT METHODS: 《Journal of Computational Mathematics》2020年第1期142-175,共34页Carsten Carstensen Sophie Puttkammer; Optimal convergence rates of adaptive finite element methods are well understood in terms of the axioms of adaptivity.One key ingredient is the discrete reliability of a residualbased a posteriori error estimator,whic...; 关键词：Discrete reliability Nonconforming finite element method Conforming companion Morley Crouzeix-Raviart Explicit constants Axioms of adaptivity

UNCONDITIONALLY SUPERCLOSE ANALYSIS OF A NEW MIXED FINITE ELEMENT METHOD FOR NONLINEAR PARABOLIC EQUATIONS被引量：2: 《Journal of Computational Mathematics》2019年第1期1-17,共17页Dongyang Shi Fengna Yan Junjun Wang; Natural Science Foundation of China (Grant Nos.11671369,11271340).; This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic equation.Taking the finite dement pair Q11/Q01×Q10 as an example, a new mixed finite element method (FEM)is es...; 关键词：Nonlinear PARABOLIC EQUATION MIXED FEM Time-discrete and spatial-discrete systems τ-independent superelose results

A FULL DISCRETE STABILIZED METHOD FOR THE OPTIMAL CONTROL OF THE UNSTEADY NAVIER-STOKES EQUATIONS: 《Journal of Computational Mathematics》2018年第5期718-738,共21页Yanmei Qin Gang Chen Minfu Feng; This work is supported by the Natural Science Foundation of China （No. 11271273） and the Scientific Research Foundation of the Education Department of Sichuan Province of China （No.16ZB0300）. The authors would like to thank the associate editor and anonymous referees comments to improve the quality of the manuscript.; In this paper, a full discrete local projection stabilized （LPS） method is proposed to solve the optimal control problems of the unsteady Navier-Stokes equations with equal order elements. Convective effects and pre...; 关键词：Optimal control Unsteady Navier-Stokes equations High Reynolds number Full discrete Local projection stabilization.

STRUCTURED CONDITION NUMBERS FOR THE TIKHONOV REGULARIZATION OF DISCRETE ILL-POSED PROBLEMS: 《Journal of Computational Mathematics》2017年第2期169-186,共18页LingshengMeng Bing Zheng; The authors would like to thank the anonymous referees for their valu- able suggestions and comments. This work was supported by the National Natural Science Foundation of China （No. 11571004 and No. 11171371）.; The possibly most popular regularization method for solving the least squares problem rain ‖Ax - b‖2 with a highly ill-conditioned or rank deficient coefficient matrix A is the x Tikhonov regularization method. In ...; 关键词：Tikhonov regularization Discrete ill-posed problem Structured least squaresproblem Structured condition number.

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