A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems
Douglas, Jim Jr. ; Dupont, Todd ; Wheeler, Mary Fanett
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 8 (1974), p. 47-59 / Harvested from Numdam
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@article{M2AN_1974__8_2_47_0,
     author = {Douglas, Jim Jr. and Dupont, Todd and Wheeler, Mary Fanett},
     title = {A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {8},
     year = {1974},
     pages = {47-59},
     mrnumber = {359357},
     zbl = {0315.65063},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1974__8_2_47_0}
}

Douglas, Jim Jr.; Dupont, Todd; Wheeler, Mary Fanett. A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 8 (1974) pp. 47-59. http://gdmltest.u-ga.fr/item/M2AN_1974__8_2_47_0/

[1] J. Douglas Jr., T. Dupont and L. Wahlbin, Optimal L ∞ error estimates for Galerkin approximations to solutions of two point boundary value problems, to appear in Math. Comp., Oct. 1974. | Zbl 0306.65053

[2] J. Douglas Jr., T. Dupont and M. F. Wheeler, A quasi-projection approximation method applied to Galerkin procedures for parabolic and hyperbolic equations, to appear

[3] T. Dupont, Some L 2 error estimates for parabolic Galerkin methods, Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Azis (ed.), Academic Press, New York, 1972. | MR 403255 | Zbl 0279.65086

[4] J.-L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris, 1968. | MR 247243 | Zbl 0165.10801

[5] J. A. Wheeler, Simulation of heat transfer from a warm pipeline buried in permafrost, presented to the 74th National Meeting of the American Institute of Chemical Engineers, New Orleans, March 1973.

[6] M. F. Wheeler, An optimal L ∞ error estimate for Galerkin approximations to solutions of two point boundary problems, SIAM, J. Numer. Anal., 10 (1973), 914-917. | MR 343659 | Zbl 0266.65061