共查询到19条相似文献,搜索用时 93 毫秒
1.
无界区域非重叠区域分解算法的离散化及其收敛性 总被引:5,自引:0,他引:5
无界区域非重叠区域分解算法的离散化及其收敛性余德浩(中国科学院计算数学与科学工程计算研究所)DISCRETIZATIONOFNON-OVERLAPPINGDOMAINDECOMPOSITIONMETHODFORUNBOUNDEDDOMAINSANDI... 相似文献
2.
无界区域非重叠区域分解算法的离散化及其收敛性 总被引:15,自引:5,他引:15
无界区域非重叠区域分解算法的离散化及其收敛性余德浩(中国科学院计算数学与科学工程计算研究所)DISCRETIZATIONOFNON-OVERLAPPINGDOMAINDECOMPOSITIONMETHODFORUNBOUNDEDDOMAINSANDI... 相似文献
3.
HOPFBIFURCATIONANDOTHERDYNAMICALBEHAVIORSFORAFOURTHORDERDIFFERENTIALEQUATIONINMODELSOFINFECTIOUSDISEASEJINGZHUJUN(井竹君)(Instit... 相似文献
4.
王金德 《应用数学学报(英文版)》1995,11(1):51-58
ASUCCESSIVEAPPROXIMATIONMETHODFORSOLVINGPROBABILISTICCONSTRAINEDPROGRAMSWANGJINDE(王金德)(DepartmentofMathematics,NanjingUnivers... 相似文献
5.
赵为礼 《应用数学学报(英文版)》1995,11(1):30-43
ACLASSOFSINGULARPERTURBATIONSFORSECONDORDERQUASI-LINEARBOUNDARYVALUEPROBLEMSONINFINITEINTERVALZHAOWEILI(赵为礼)(DepartmentofMath... 相似文献
6.
杨力平 《应用数学学报(英文版)》1994,10(3):233-251
FREEBOUNDARYPROBLEMARISINGFROMEVAPORATIONFROMPOROUSMEDIUMYANGLIPING(杨力平)(DepartmentofAppliedMathematics,TsinghuaUniversity,Be... 相似文献
7.
SYMMETRIES, BāCKLUND TRANSFORMATIONS AND BOUNDARY-INITIAL VALUE PROBLEMS FOR NONLINEAR CHROMATOGRAPH
王明亮 《数学物理学报(B辑英文版)》1995,(2)
SYMMETRIES,B■CKLUNDTRANSFORMATIONSANDBOUNDARY-INITIALVALUEPROBLEMSFORNONLINEARCHROMATOGRAPHYEQUATIONWangMingliang(王明亮)(Dept.o... 相似文献
8.
关于解椭圆型问题的两个子区域不重叠区域分解算法 总被引:3,自引:0,他引:3
关于解椭圆型问题的两个子区域不重叠区域分解算法顾金生,胡显承(清华大学)ONTHEDOMAINDECOMPOSITIONMETHODSFORELLIPTICPROBLEMSWITHTWOSUBSTRUCTURES¥GuJin-sheng;HuXian... 相似文献
9.
ONTHEMIXEDPROBLEMSINANEIASTICPIANEWITHPER1ODICCRACKSZhengKe(郑可)(WuhanUniversity)ONTHEMIXEDPROBLEMSINANEIASTICPIANEWITHPER1ODI... 相似文献
10.
Zha Jianguo 《数学年刊B辑(英文版)》1995,16(4):479-488
ANEMBEDDINGTHEOREMBETWEENSPECIALLINEARGROUPSOVERANYFIELDS¥ZHAJIANGUO(DepartmelltofAppliedMathematics,TongjiUniversity,Shangha... 相似文献
11.
In this paper, a new domain decomposition method based on the natural boundary reduction, which solves wave problems over an unbounded domain, is suggestted. An circular artificial boundary is introduced. The original unbounded domain is divided into two subdomains, an internal bounded region and external unbounded region outside the artificial boundary. A Dirichlet-Neumann(D-N) alternating iteration algorithm is constructed. We prove that the algorithm is equavilent to preconditional Richardson iteration method. Numerical studies are performed by finite element method. The numerical results show that the convergence rate of the discrete D-N iteration is independent of the finite element mesh size. 相似文献
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13.
无界区域上基于自然边界归化的一种重叠型区域分解法及其离散化 总被引:4,自引:0,他引:4
1.引言由于科学技术的迅猛发展,人们遇到许多大规模科学和工程计算问题.随着并行计算机的出现和应用,并行技术越来越得到人们的重视和研究.区域分解法成为并行计算和处理这类问题的主要方法之一.但是,对于无界区域上的椭圆边值问题,因进行区域分解后至少有一个区域仍为无界区域,故仅应用通常的区域分解算法求解是不够的.由于边界归化是处理无界区域问题的有效手段,通常采用边界元和有限元耦合的方法求解此类问题IZ,6。8。121.或片什适当的人工边界并在此边界上加近似边界条件,再在有限区域应用有限元方法求解【人习.近年来… 相似文献
14.
无界区域上基于自然边界归化的双调和方程的一种重叠型区域分解法 总被引:1,自引:2,他引:1
1.引言双调和方程边值问题的一个力学背景是薄板弯曲问题.对于有界区域上的双调和方程,可以直接利用协调元和非协调元求解18,10].我们考虑双调和方程Dirichlet外边值问题其中0是充分光滑闭曲线ro之外的无界区域,naro关于0的单位外法向量.引理1.且卜].若。0EH’/‘(几),gEH‘/‘(fo),则问题(1.1)在W0z(fi)中有唯一解·这里由迹定理,可找到一个具有紧支集的函数识。。,g)E护(炉)满足可。0;g)【F。=。0和则问题(1.1)等价于如下齐次边值问题其中f—一面‘B有紧支集.边值问题(工.2)又可转化为变分问… 相似文献
15.
De-hao Yu 《计算数学(英文版)》2001,(1)
1. IntroductionIn recent y6ars, the elliptic boUndaly value problems ill unbounded domains have dlawnmore and more attention. TO solve an equation in an unbounded domain numerically, a basicidea is to licit the computation to a bounded domain by introducing an artWial boundary.Based on this idea, many numerical methods, such as the coupling of BEM and FEM, the FEMwith boundary conditions at atilicial boundary) the coupled finite-~ie elemellt ndhodthe DDM(domain decomposition method)(cf.,… 相似文献
16.
1.IntroductionManyscientificandengineeringproblemscallbereducedtoexteriorboundaryvalueproblemsofpartialdifferentialequations.Althoughthenumericalmethodstosolveboundaryvalueproblems,suchasthefiniteelementmethodandthefinitedifferencemethod,areveryeffectiveonboundeddomains,yetweoftenfinditdifficulttousethemtodealwithunboundedproblems.Theboundaryreductionisaforcefulmeanstosolvesomeproblemsoverunboundeddomains.Amongmanyboundaryreductions,thenaturalboundaryreductionfoundedbyK.FengandD.H.Yuhassomed… 相似文献
17.
一类各向异性外问题的重叠型区域分解算法 总被引:2,自引:0,他引:2
本文以椭圆外调和问题的自然边界归化为基础,提出了求解各向异性常系数椭圆方程的一种重叠型区域分解算法,并分析了算法的收敛性及收敛速度.理论分析及数值实验表明,该方法对于求解各向异性外问题非常有效. 相似文献
18.
一类各向异性外问题的非重叠型区域分解算法 总被引:1,自引:0,他引:1
In this paper, based on the natural integral operator on elliptic boundary, a nonoverlapping domain decomposition method is presented for a kind of anisotropic elliptic problem with constant coefficients in an exterior domain, and the convergence of the method is analyzed. The choice of the relaxition factor is discussed.Some numerical examples are given. Theoretical analysis as well as numerical examples show that our method is performance. 相似文献
19.
Dao-qi Yang 《计算数学(英文版)》1998,(2)
1.IntroductionNolloverlappillgdomaindecolllpositionnletllodshavereceivedalotofattentionlenlsilllldallowefficielltparallelisnl.F'Orarecentdevelopmelltofthesemethods,werefertot… 相似文献