AN ADAPTIVE MOVING GRID METHOD FOR ONE-DIMENSIONAL SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS

被引:33
作者
VERWER, JG [1 ]
BLOM, JG [1 ]
SANZSERNA, JM [1 ]
机构
[1] UNIV VALLADOLID,FAC CIENCIAS,DEPT MATEMAT APLICADA & COMPUTAC,VALLADOLID,SPAIN
关键词
D O I
10.1016/0021-9991(89)90058-2
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
引用
收藏
页码:454 / 486
页数:33
相关论文
共 27 条
[1]   A MOVING FINITE-ELEMENT METHOD WITH ERROR ESTIMATION AND REFINEMENT FOR ONE-DIMENSIONAL TIME-DEPENDENT PARTIAL-DIFFERENTIAL EQUATIONS [J].
ADJERID, S ;
FLAHERTY, JE .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (04) :778-796
[2]  
BERZINS M, 1986, 202 U LEEDS DEP COMP
[3]   AN ADAPTIVE METHOD OF LINES WITH ERROR CONTROL FOR PARABOLIC EQUATIONS OF THE REACTION DIFFUSION TYPE [J].
BIETERMAN, M ;
BABUSKA, I .
JOURNAL OF COMPUTATIONAL PHYSICS, 1986, 63 (01) :33-66
[4]   ON SIMPLE MOVING GRID METHODS FOR ONE-DIMENSIONAL EVOLUTIONARY PARTIAL-DIFFERENTIAL EQUATIONS [J].
BLOM, JG ;
SANZSERNA, JM ;
VERWER, JG .
JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 74 (01) :191-213
[5]  
BLOM JG, 1987, NMR8713 CTR MATH COM
[6]  
BLOM JG, 1988, IN PRESS 12TH IMACS
[7]  
Bonnerot R., 1974, International Journal for Numerical Methods in Engineering, V8, P811, DOI 10.1002/nme.1620080410
[8]   AN ADAPTIVE FINITE-ELEMENT METHOD FOR INITIAL-BOUNDARY VALUE-PROBLEMS FOR PARTIAL-DIFFERENTIAL EQUATIONS [J].
DAVIS, SF ;
FLAHERTY, JE .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1982, 3 (01) :6-27
[9]  
DEBOOR C, 1972, 1973 C NUM SOL DIFF, P12
[10]   SIMPLE ADAPTIVE GRIDS FOR 1-D INITIAL-VALUE PROBLEMS [J].
DORFI, EA ;
DRURY, LO .
JOURNAL OF COMPUTATIONAL PHYSICS, 1987, 69 (01) :175-195