EIGENVALUES OF THE LAPLACIAN IN 2 DIMENSIONS

被引:195
作者
KUTTLER, JR
SIGILLITO, VG
机构
关键词
D O I
10.1137/1026033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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页码:163 / 193
页数:31
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共 144 条
[1]  
Abramowitz M, 1964, HDB MATH FUNCTIONS F
[2]   ON THE CONVEXITY OF LEVEL LINES OF THE FUNDAMENTAL MODE IN THE CLAMPED MEMBRANE PROBLEM, AND THE EXISTENCE OF CONVEX SOLUTIONS IN A RELATED FREE-BOUNDARY PROBLEM [J].
ACKER, A ;
PAYNE, LE ;
PHILIPPIN, G .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1981, 32 (06) :683-694
[3]  
AZIZ AK, 1972, MATH F FINITE ELEMEN
[4]  
Bandle C., 1980, ISOPERIMETRIC INEQUA
[5]  
Barta J., 1937, CR HEBD ACAD SCI, V204, P472
[6]  
Bates R. H. T., 1973, International Journal for Numerical Methods in Engineering, V6, P155, DOI 10.1002/nme.1620060202
[7]   THEORY OF POINT-MATCHING METHOD FOR PERFECTLY CONDUCTING WAVEGUIDES AND TRANSMISSION LINES [J].
BATES, RHT .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1969, MT17 (06) :294-&
[8]   FREE VIBRATIONS OF RHOMBIC PLATES AND MEMBRANES [J].
BAUER, L ;
REISS, EL .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1973, 54 (05) :1373-1375
[9]   CUTOFF WAVE-NUMBERS AND MODES OF HEXAGONAL WAVEGUIDES [J].
BAUER, L ;
REISS, EL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (03) :508-514
[10]   UNEQUAL-ARM FINITE-DIFFERENCE OPERATORS IN POSITIVE-DEFINITE SUCCESSIVE OVERRELAXATION (PDSOR) ALGORITHM [J].
BEAUBIEN, MJ ;
WEXLER, A .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1970, MT18 (12) :1132-&