zbMATH — the first resource for mathematics

On the inclusion principle for the hierarchical finite element method. (English) Zbl 0502.65023

65F15 Numerical computation of eigenvalues and eigenvectors of matrices
74H45 Vibrations in dynamical problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
Full Text: DOI
[1] Computational Methods in Structural Dynamics, Sijthoff–Noordhoff, The Netherlands, 1980.
[2] Theory of Sound, vol. 1 Dover Publications, Inc., New York, 1945.
[3] Matrix Theory, Prentice-Hall, Englewood Cliffs, N.J., 1968.
[4] Szabo, Comp. Maths. Appls. 5 pp 99– (1979)
[5] Babuska, SIAM J. Numer. Anal. 18 pp 515– (1981)
[6] Babuska, Numer. Math. 37 pp 257– (1981)
[7] , and , ’Three dimensional stress analysis’, in Proc. IUTAM Symp. on High Speed Computing of Elastic Structures, Liége, 1970.
[8] Peano, Comp. Maths. Appls. 2 pp 211– (1976)
[9] , and , ’Hierarchical finite element approaches, error estimates and adaptive refinement’, Report C/R/382/81, Inst. Numerical Methods in Engineering, University College of Swansea, U.K., 1981.
[10] and , An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N.J., 1973.
[11] Meirovitch, Int. j. numer. meths. eng.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.