FINITE_ELEMENT

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A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element
《Advances in Applied Mathematics and Mechanics》2010年第6期784-797,共14页Feiteng Huang Xiaoping Xie 
supported by Natural Science Foundation of China(10771150);the National Basic Research Program of China(2005CB321701);the Program for New Century Excellent Talents in University(NCET-07-0584).
This paper analyzes a nonconforming 5-node quadrilateral transition finite element for Poisson equation.This element was originally proposed by Choi and Park[Computers and Structures,32(1989),pp.295–304 and Thin-Wall...
关键词:Nonconforming finite element transition element consistency error 
LOW ORDER NONCONFORMING RECTANGULAR FINITE ELEMENT METHODS FOR DARCY-STOKES PROBLEMS被引量:7
《Journal of Computational Mathematics》2009年第2期400-424,共25页Shiquan Zhang Xiaoping Xie Yumei Chen 
supported by the Natural Science Foundation of China (10771150);the National Basic Research Program of China (2005CB321701);the Program for New Century Excellent Talents in University (NCET-07-0584)
In this paper, we consider lower order rectangular finite element methods for the singularly perturbed Stokes problem. The model problem reduces to a linear Stokes problem when the perturbation parameter is large and ...
关键词:Darcy-Stokes problem Finite element Uniformly stable 
UNIFORMLY-STABLE FINITE ELEMENT METHODS FOR DARCY-STOKES-BRINKMAN MODELS被引量:23
《Journal of Computational Mathematics》2008年第3期437-455,共19页Xiaoping Xie Jinchao Xu Guangri Xue 
NSF DMS-0609727;by the Center for Computational Mathematics and Applications of Penn State;Jinchao Xu was also supported in part by NSFC-10501001;Alexander H.Humboldt Foundation.Xiaoping Xie was supported by the National Natural Science Foundation of China (10771150);the National Basic Research Program of China (2005CB321701);the program for New Century Excellent Talents in University (NCET-07-0584)
In this paper, we consider 2D and 3D Darcy-Stokes interface problems. These equations are related to Brinkman model that treats both Darcy's law and Stokes equations in a single form of PDE but with strongly disconti...
关键词:Darcy-Stokes equation Brinkman Finite element Uniformly stable 
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