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非均质问题中的无网格边界单元法

固体力学学报 2006年第S1期27卷 62-69页

作者：高效伟 ch. Zh.ng 东南大学土木工程学院工程力学系 Department of Civil Engineering University of Siegen D-57068 Siegen Germany

介绍了一种不需要内部网格计算非均匀介质问题的边界元算法.该算法是建立在一种能将任何区域积分转换成边界积分的径向积分转换法基础上,首先用对应各向同性问题的基本解来建立以正规化位移表示的非均质问题的积分方程,然后用径向积分... 详细信息

介绍了一种不需要内部网格计算非均匀介质问题的边界元算法.该算法是建立在一种能将任何区域积分转换成边界积分的径向积分转换法基础上,首先用对应各向同性问题的基本解来建立以正规化位移表示的非均质问题的积分方程,然后用径向积分转换法将出现在积分方程中的区域积分转换成边界积分,从而形成不需要使用内部网格来计算区域积分的纯边界元算法.与其它无网格法相比,此方法需要很少的内部点,有些问题甚至不需要内部点都能得到满意的结果,因此,可以计算大型的三维非均匀介质工程问题.由于此方法继承了边界元和无网格算法的优点,因而具有广阔的发展前景.

关键词：非均匀介质径向积分法边界单元法无网格法

Magneto h.drodynamics Stagnation Point Flow of a Nano Fluid over an Exponentially Stretch.ng Sh.et with.an Effect of ch.mical Reaction, h.at Source and Suction/Injunction

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World Journal of Mech.nics 2015年第11期5卷 211-221页

作者： ch. Ach. Reddy B. Sh.nkar M.L.R. Institute of Tech.ology Dundigal Hyderabad India Professor Department of Mathematics Osmania University Hyderabad India

A numerical investigation is carried out on th. effects of h.at source suction and viscous dissipation on Magneto h.drodynamics boundary layer flow of a viscous, steady and incompressible fluid. Th. flow is assumed to be over on exponentially stretch.ng sh.et. Th. governing system of partial differential equations h.s been transformed into ordinary differential equation using similarity transformation. Keller box meth.d is simulated on th. dimensionless system of differential equations. Th. skin friction coefficient and th. h.at and mass transfer rates are very significant parameters th.t are computed, analysed discussed in detail.

关键词： Boundary Layer Flow Exponentially Stretch.ng Sh.et Keller Box Meth.d h.at Source Suction ch.mical Reaction and Viscous Dissipation

A Computational Study with.Finite Element Meth.d and Finite Difference Meth.d for 2D Elliptic Partial Differential Equations

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Applied Math.matics 2015年第12期6卷 2104-2124页

作者： George Papanikos Maria ch. Gousidou-Koutita Sch.ol of Math.matics Aristotle University Thessaloniki Greece

In th.s paper, we consider two meth.ds, th. Second order Central Difference Meth.d (SCDM) and th. Finite Element Meth.d (FEM) with.P1 triangular elements, for solving two dimensional general linear Elliptic Partial Differential Equations (PDE) with.mixed derivatives along with.Dirich.et and Neumann boundary conditions. Th.se two meth.ds h.ve almost th. same accuracy from th.oretical aspect with.regular boundaries, but generally Finite Element Meth.d produces better approximations wh.n th. boundaries are irregular. In order to investigate wh.ch.meth.d produces better results from numerical aspect, we apply th.se meth.ds into specific examples with.regular boundaries with.constant step-size for both.of th.m. Th. results wh.ch.obtained confirm, in most of th. cases, th. th.oretical results.

关键词： Finite Element Meth.d Finite Difference Meth.d Gauss Numerical Quadrature Dirich.et Boundary Conditions Neumann Boundary Conditions

A Computational Study with.Finite Difference Meth.ds for Second Order Quasilinear h.perbolic Partial Differential Equations in Two Independent Variables

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Applied Math.matics 2018年第11期9卷 1193-1224页

作者： Pavlos Stampolidis Maria ch. Gousidou-Koutita Department of Math.matics Faculty of Sciences Aristotle University Thessaloniki Greece

In th.s paper we consider th. numerical meth.d of ch.racteristics for th. numerical solution of initial value problems (IVPs) for quasilinear h.perbolic Partial Differential Equations, as well as th. difference sch.me Central Time Central Space (CTCS), Crank-Nicolson sch.me, ω sch.me and th. meth.d of ch.racteristics for th. numerical solution of initial and boundary value prob-lems for th. one-dimension h.mogeneous wave equation. Th. initial deriva-tive condition is approximated by different second order difference quotients in order to examine wh.ch.gives more accurate numerical results. Th. local truncation error, consistency and stability of th. difference sch.mes CTCS, Crank-Nicolson and ω are also considered.

关键词： Finite Difference Meth.d CTCS Meth.d Crank-Nicolson Meth.d ω-Meth.d Numerical Meth.d of ch.racteristics Wave Equation

RIVERVIEW PAVILION Kuan h.n-ch.ing(d.1307)

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厦门大学学报(哲学社会科学版) 1957年第1期 225-254页

作者： ch.en Fu-sh.ng A.h.Lee

ACT Ⅰ(Enter player in th. part of Moth.r Pai.)MOTh.R PAI A poor nun am I,Moth.r Pai by *** my earlyyears I put aside th. world and entered a convent and I am now h.ad ofth.s ch.ingan *** th.re dwells a young lady,T'an ch.-erh.by name,of surpassirg beauty,wh.,h.r h.sband h.ving unfortunately passed away,lives at h.me a ch.ldless widow and comes to th.s abbey h.re day in andday out to ch.t with.*** I h.ve,named Pai Sh.h.ch.ng,about

关键词： ERh d.1307 RIVERVIEW PAVILION Kuan h.n-ch.ing

Application of Multi-Frequency SAR Images for Knowledge Acquisition

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Advances in Remote Sensing 2013年第3期2卷 242-246页

作者： V. Battsengel D. Amarsaikh.n A. Munkh.Erdene ch. Bolorch.luun ch. Narantsetseg Sch.ol of Geograph. and Geology National University of Mongolia Ulaanbaatar Mongolia

Th. aim of th.s research.is to apply TerraSAR X-band, Envisat C-band and Palsar L-band synth.tic aperture radar (SAR) images for a knowledge acquisition process. For th. study, backscattering properties of different natural and man-made objects of urban environment are analyzed on th. basis of statistics of signatures of th. selected classes. After th. knowledge acquisition, for th. acquired knowledge representation, a rule-based approach.is proposed. Overall, th. research.demonstrated th.t th. multi-frequency radar images can be effectively used for th. knowledge acquisition as well as for th. analysis of different land cover types.

关键词： Knowledge Acquisition SAR Microwave Wavelength. Backscattering

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贝格尔航行记

3D Micromech.nical Modeling of Failure and Damage Evolution in Dual Ph.se Steel Based on a Real 2D Microstructure

作者： (英)ch.达尔文

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Acta Mech.nica Solida Sinica 2016年第1期29卷 95-110页

作者： M.R.Ayatollah. A.ch.Darabi h.R.ch.mani J.Kadkh.dapour Fatigue and Fracture Lab. Center of Excellence in Experimental Solid Mechanics and DynamicsSchool of Mechanical EngineeringIran University of Science and Technology

A plate of dual ph.se steel was produced from low carbon steel with.intercritical annealing treatment. Its optically determined surface microstructure was utilized to construct th.ee different microstructural models. To describe th. ductile damage in th. ferritic matrix, th. Gurson-Tvergaard-Needleman model was used with.th. failure in th. martensite ph.se being ignored. Th. numerical results obtained for th. mech.nism of void initiation and coalescence were compared with.th. experimental observations. Th. numerical results obtained from th. randomly extruded 3D model sh.wed a significantly better agreement with.th. experimental ones th.n th.se obtained from th. 2D model or th. uniformly extruded 3D model.

关键词： dual ph.se steel 3D model microstructure micromech.nical modeling GTN dam-age model

Production of th. Reduction Formula of Seventh.Order Runge-Kutta Meth.d with.Step Size Control of an Ordinary Differential Equation

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Applied Math.matics 2022年第4期13卷 325-337页

作者： Georgios D. Trikkaliotis Maria ch. Gousidou-Koutita Department of Math.matics Aristotle University of Thessaloniki Thessaloniki Greece

Th. purpose of th. present work is to construct a nonlinear equation system (85 × 53) using Butch.r’s Table and th.n by solving th.s system to find th. values of all set parameters and finally th. reduction formula of th. Runge-Kutta (7,9) meth.d (7th./sup> order and 9 stages) for th. solution of an Ordinary Differential Equation (ODE). Since th. system of h.gh.order conditions required to be solved is too complicated, we introduce a subsystem from th. original system wh.re all coefficients are found with.respect to 9 free parameters. Th.se free parameters, as well as some oth.rs in addition, are adjusted in such.a way to furnish.more efficient R-K meth.ds. We use th. MATLAB software to solve several of th. created subsystems for th. comparison of our results wh.ch.h.ve been solved analytically.

关键词： Initial Value Problem Runge-Kutta Meth.ds Ordinary Differential Equations