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Universal approximation by systems of hill functions. (English) Zbl 0305.41011
MSC:
41A30 Approximation by other special function classes
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References:
[1] I. Babuška: Approximation by hill functions. Comment. Math. Univ. Carolinae 11 (1970), 787-811. · Zbl 0215.46404 · eudml:16399
[2] I. Babuška: The rate of convergence for the finite element method. SIAM J. Numer. Anal. 8 (1971), 304-315. · Zbl 0232.65080 · doi:10.1137/0708031
[3] I. Babuška J. Segethová K. Segeth: Numerical experiments with the finite element method I. Tech. Note BN-669, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, August 1970.
[4] G. Fix G. Strang: Fourier analysis of the finite element method in Ritz-Galerkin theory. Studies in Appl. Math. 48 (1969), 265-273. · Zbl 0179.22501
[5] J. L. Lions E. Magenes: Problèmes aux limites non homogènes et applications. Vol. 1. Dunod, Paris 1968. · Zbl 0212.43801
[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003
[7] K. Segeth: Universal approximation by hill functions. Czechoslovak Math. J. 22 (1972), 612-640. · Zbl 0247.41011 · eudml:12688
[8] K. Segeth: A remark on a class of universal hill functions. Acta Univ. Carolinae-Math. et Phys. 15 (1974), No. 1 - 2, to appear. · Zbl 0314.41008
[9] G. Strang G. J. Fix: An analysis of the finite element method. Prentice-Hall, Englewood Cliffs, N. J. 1973. · Zbl 0278.65116
[10] K. Yosida: Functional analysis. Academic Press, New York-London 1965. · Zbl 0126.11504
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