Piecewise polynomials and the finite element method
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- by Gilbert Strang PDF
- Bull. Amer. Math. Soc. 79 (1973), 1128-1137
References
- R. Courant, Variational methods for the solution of problems of equilibrium and vibrations, Bull. Amer. Math. Soc. 49 (1943), 1–23. MR 7838, DOI 10.1090/S0002-9904-1943-07818-4
- M. Crouzeix and P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations. I, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge 7 (1973), no. R-3, 33–75. MR 343661
- Georges Pólya, Sur une interprétation de la méthode des différences finies qui peut fournir des bornes supérieures ou inférieures, C. R. Acad. Sci. Paris 235 (1952), 995–997 (French). MR 52674
- G. Pólya, Estimates for eigenvalues, Studies in mathematics and mechanics presented to Richard von Mises, Academic Press, Inc., New York, 1954, pp. 200–207. MR 0065777
- I. J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae, Quart. Appl. Math. 4 (1946), 45–99. MR 15914, DOI 10.1090/S0033-569X-1946-15914-5
- Gilbert Strang, Approximation in the finite element method, Numer. Math. 19 (1972), 81–98. MR 305547, DOI 10.1007/BF01395933
- Gilbert Strang, Variational crimes in the finite element method, The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, Md., 1972) Academic Press, New York, 1972, pp. 689–710. MR 0413554
- Gilbert Strang and Alan E. Berger, The change in solution due to change in domain, Partial differential equations (Proc. Sympos. Pure Math., Vol. XXIII, Univ. California, Berkeley, Calif., 1971) Amer. Math. Soc., Providence, R.I., 1973, pp. 199–205. MR 0337023
- Gilbert Strang and George J. Fix, An analysis of the finite element method, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973. MR 0443377
- J. L. Synge, Triangulation in the hypercircle method for plane problems, Proc. Roy. Irish Acad. Sect. A 54 (1952), 341–367. MR 0053618
- W. T. Tutte, A census of planar triangulations, Canadian J. Math. 14 (1962), 21–38. MR 130841, DOI 10.4153/CJM-1962-002-9
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 1128-1137
- MSC (1970): Primary 35J20, 41A15, 41A25, 65N30
- DOI: https://doi.org/10.1090/S0002-9904-1973-13351-8
- MathSciNet review: 0327060