国家重点基础研究发展计划(2005CB321701)

作品数：62被引量：146H指数：6
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手性环境中障碍电磁散射问题的积分方程方法
《高等学校计算数学学报》2014年第1期1-11,共11页尹伟石 张德悦 马富明 
国家973项目(2005CB321701);国家自然科学基金项目资助(马富明)和(张德悦)资助
1引言 特殊介质中的电磁散射问题是一个重要的研究课题，是近些年来才开展起来的．此研究中，手性介质的电磁散射问题得到了很多关注．
关键词：散射问题 手性介质 积分方程方法 电磁 环境 
Extrapolation methods to compute hypersingular integral in boundary element methods被引量：6
《Science China Mathematics》2013年第8期1647-1660,共14页LI Jin ZHANG XiaoPing YU DeHao 
supported by National Natural Science Foundation of China(Grant Nos. 11101247 and 11201209);Shandong Provincial Natural Science Foundation of China (Grant No.ZR2011AQ020);a project of Shandong Province Higher Educational Science and Technology Program (GrantNo. J11LE08);supported by National Natural Science Foundation of China (GrantNo. 11101317);supported by National Basic Research Program of China (Grant No.2005CB321701);the Reward Fund of CAS for National Prize
The composite trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel I/sin2（x- s） is discussed, and the main part of the asymptotic expansion...
关键词：hypersingular integrals trapezoidal rule asymptotic error expansion extrapolation algorithm 
New mixed finite elements for plane elasticity and Stokes equations被引量：4
《Science China Mathematics》2011年第7期1499-1519,共21页XIE XiaoPing XU JinChao 
supported in part by National Natural Science Foundation of China (GrantNo. 10771150);the National Basic Research Program of China (Grant No. 2005CB321701);the program for New Century Excellent Talents in Universities (Grant No. NCET-07-0584)
We consider mixed finite elements for the plane elasticity system and the Stokes equation. For the unmodified Hellinger-Reissner formulation of elasticity in which the stress and displacement fields are the primary un...
关键词：mixed finite element NONCONFORMING ELASTICITY Stokes equation 
牛顿科茨公式计算超奇异积分的误差估计被引量：8
《计算数学》2011年第1期77-86,共10页李金 余德浩 
国家重点基础研究发展规划项目(No.2005CB321701)资助项目
超奇异积分的数值计算是边界元方法中的重要的课题之一,本文得到了牛顿科茨公式计算任意阶超奇异积分误差估计,当误差函数中的S_k^((p))(τ)=0时,便得到超收敛现象,并给出了S_k^((p))(τ)之间的相互关系.相应的数值算例验证了理论分析...
关键词：超奇异积分 牛顿科茨公式 误差展开式 
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 
A preconditioner for a kind of coupled FEM-BEM variational inequality被引量：1
《Science China Mathematics》2010年第11期2811-2830,共20页HU QiYa1 & YU DeHao2 LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 
supported by National Natural Science Foundation of China (GrantNo. 10771178);The Key Project of National Natural Science Foundation of China (Grant No. 10531080);National Basic Research Program of China (Grant No. 2005CB321702);supported by The Key Project of National Natural Science Foundation of China (Grant No. 10531080);National Basic Research Program of China (Grant No. 2005CB321701)
In this paper we are concerned with a kind of nonlinear transmission problem with Signorini contact conditions. This problem can be described by a coupled FEM-BEM variational inequality. We first develop a preconditio...
关键词：Signorini contact FEM-BEM coupling variational INEQUALITY PRECONDITIONING gradient projection PRECONDITIONER condition number 
The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions
《Communications in Computational Physics》2010年第8期642-662,共21页Wenbin Chen Jin Cheng Masahiro Yamamoto Weili Zhang 
supported by the National Basic Research Program(2005CB321701);111 project grant(B08018);supported by NSFC Tianyuan Fund for Mathematics(10826105);in part by Shanghai Key Laboratory of Intelligent Information Processing(IIPL-09-003);supported by the Shanghai Natural Science Foundation(07JC14001);supported by the Global COE Program;supported in part by National 863 Program of China(2009AA012201);supported in part by Grants-in-Aid for Scientific Research(20654011,21340021)from Japan Society for the Promotion of Science.
This paper is concerned with the elliptic problems with nonlinear StefanBoltzmann boundary condition.By combining with the monotone method,the RobinRobin domain decomposition methods are proposed to decouple the nonli...
关键词：Nonlinear Stefan-Boltzmann condition monotone methods Robin-Robin domain decomposition method 
High order compact schemes for gradient approximation被引量：3
《Science China Mathematics》2010年第7期1899-1914,共16页Huang YunQing Liang Qin Yi NianYu 
supported by National Natural Science Foundation of China (Grant No. 10625106);the National Basic Research Program of China (Grant No. 2005CB321701);supported by Graduate School Visit Project of Peking University;Hunan Provincial Innovation Foundation for Postgraduate (Grant No. S2008yjscx05)
In this paper, we propose three gradient recovery schemes of higher order for the linear interpolation. The first one is a weighted averaging method based on the gradients of the linear interpolation on the uniform me...
关键词：SUPERCONVERGENCE GRADIENT RECOVERY COMPACT SCHEME 
非定常线性化Navier-Stokes方程的非协调流线扩散有限元法分析被引量：4
《应用数学和力学》2010年第7期822-834,共13页陈豫眉 谢小平 
国家自然科学基金资助项目(10771150);国家重点基础研究发展规划资助项目(2005CB321701);教育部新世纪优秀人才基金资助项目(NCET-07-0584);四川省教育厅青年基金资助项目(07ZB087)
对非定常线性化Navier-Stokes方程提出了非协调流线扩散有限元方法.用向后Euler格式离散时间,用流线扩散法处理扩散项带来的非稳定性.速度采用不连续的分片线性逼近,压力采用分片常数逼近.得到了离散解的存在唯一性以及在一定范数意义...
关键词：流线扩散法 非协调 非定常线性化Navier-Stokes方程 误差估计 
A streamline diffusion nonconforming finite element method for the time-dependent linearized Navier-Stokes equations被引量：1
《Applied Mathematics and Mechanics(English Edition)》2010年第7期861-874,共14页陈豫眉 谢小平 
supported by the National Natural Science Foundation of China(No.10771150);the National Basic Research Program of China(No.2005CB321701);the Program for New Century Excellent Talents in University(No.NCET-07-0584);the Natural Science Foundation of Sichuan Province(No.07ZB087)
A nonconforming finite element method of finite difference streamline diffusion type is proposed to solve the time-dependent linearized Navier-Stokes equations. The backward Euler scheme is used for time discretizatio...
关键词：streamline diffusion method finite difference method nonconforming finite element method time-dependent linearized Navier-Stokes equations error estimate 
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