APPLICATION OF THE MESH INDEPENDENCE PRINCIPLE TO MESH REFINEMENT STRATEGIES

被引:31
作者
ALLGOWER, EL
BOHMER, K
机构
[1] UNIV MARBURG,DEPT MATH,D-3550 MARBURG,FED REP GER
[2] UNIV BONN,D-5300 BONN,FED REP GER
[3] GESELL MATH & DATERVERARBEITUNG,BONN,FED REP GER
关键词
D O I
10.1137/0724086
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:1335 / 1351
页数:17
相关论文
共 44 条
[1]   SIMPLICIAL AND CONTINUATION METHODS FOR APPROXIMATING FIXED-POINTS AND SOLUTIONS TO SYSTEMS OF EQUATIONS [J].
ALLGOWER, E ;
GEORG, K .
SIAM REVIEW, 1980, 22 (01) :28-85
[2]  
Allgower E.L., 1980, NUMERICAL SOLUTION H
[3]   NEWTONS METHOD WITH MESH REFINEMENTS FOR NUMERICAL-SOLUTION OF NON-LINEAR 2-POINT BOUNDARY-VALUE PROBLEMS [J].
ALLGOWER, EL ;
MCCORMICK, SF .
NUMERISCHE MATHEMATIK, 1978, 29 (03) :237-260
[4]   A MESH-INDEPENDENCE PRINCIPLE FOR OPERATOR-EQUATIONS AND THEIR DISCRETIZATIONS [J].
ALLGOWER, EL ;
BOHMER, K ;
POTRA, FA ;
RHEINBOLDT, WC .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (01) :160-169
[5]   GENERAL MESH INDEPENDENCE PRINCIPLE FOR NEWTON METHOD APPLIED TO 2ND ORDER BOUNDARY-VALUE-PROBLEMS [J].
ALLGOWER, EL ;
MCCORMICK, SF ;
PRYOR, DV .
COMPUTING, 1979, 23 (03) :233-246
[6]  
ALLGOWER EL, 1981, LECTURE NOTES MATH, V878
[7]  
ALLGOWER EL, 1982, Z ANGEW MATH MECH, V62, P371
[8]  
ALLGOWER EL, 1981, 456 U BONN PREPR
[9]  
ALLGOWER EL, 1984, MESH INDEPENDENCE PR
[10]   SOLVING BOUNDARY-VALUE-PROBLEMS WITH A SPLINE-COLLOCATION CODE [J].
ASCHER, U .
JOURNAL OF COMPUTATIONAL PHYSICS, 1980, 34 (03) :401-413