Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (3): 424-432.
• Articles • Previous Articles
LIU Xiao-Hua, WANG Tong-Ke
Online:
Published:
Supported by:
国家自然科学基金(19972039)和国家教育部博士点基金(96042202)资助课题
Abstract:
对一类非线性对流占优的抛物型积分微分方程给出了变网格特征有限元计算格式.并得到了最优犔2 模误差估计
Key words: 抛物型积分微分方程, 变网格, 特征有限元.
CLC Number:
LIU Xiao-Hua, WANG Tong-Ke. Characteristic finite element method with moving mesh for nonlinear parabolic integrodifferential equations[J].Acta mathematica scientia,Series A, 2001, 21(3): 424-432.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I3/424
1 梁国平.变网格有限元法.计算数学,1985,7(4):377-384 2 袁益让.一类退化非线性抛物型方程组的变网格有限元法.计算数学,1986,8(2):121-136 3 王立俊.双曲型方程的变网格有限元法.计算数学,1990,12(2):119-128 4 戴培良,沈树民.抛物型积分微分方程的变网格有限元法.高等数学计算数学学报,1994,16(3):242-249 5 芮洪兴.拟线性伪双曲型方程的变网格有限元解法.高等数学计算数学学报,1988,10(4):318-331 6 DouglasJJr,RussellTF.Numericalmethodsforconvectiondominateddiffusionproblemsoncombiningthemethodof characteristicwithfiniteelementorfinitedifferenceprocedures.SIAMJNumerAnal,1982,19(5):871-875 7 RussellTF.TimesteppingalongcharacteristicwithincompleteiterationforaGalerkinapproximationofmiscibledis placementinporousmedia.SIAMJNumerAnal,1985,22(5):970-1013 8 WheelerM F.Apriori犔2errorestimatesforGalerkinapproximationstoparabolicpartialdifferentialequations.SIAM JNumerAnal,1973,10(5):723-759 9 CannonJR,LinYanping.Apriori犔2errorestimatesforfiniteelemenmethodsfornonlineardiffusionwithmemory. SIAMJNumerAnal,1990,27(3):595-607 10 LinYanping,VidarThomee,LarsB Wahlbin.RitzVolterraprojectionstofiniteelementspacesandapplicationstoin tegrodifferentialandrelatedequations.SIAMJNumerAnal,1991,28(4):1047-1070
Cited
Solutions of Initial Value Problems for Second-order Nonlinear Impulsive Integro-differential Equations
Oscillation of Higher Order Nonlinear Functional Differential
Equation with Impulses