An ${L}^{\infty }$ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 8 (1974) no. R2, p. 61-66
@article{M2AN_1974__8_2_61_0,
author = {Douglas, Jim Jr. and Dupont, Todd and Wheeler, Mary Fanett},
title = {An $L^\infty$ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {Dunod},
volume = {8},
number = {R2},
year = {1974},
pages = {61-66},
zbl = {0315.65062},
mrnumber = {359358},
language = {en},
url = {http://www.numdam.org/item/M2AN_1974__8_2_61_0}
}

Douglas, Jim Jr.; Dupont, Todd; Wheeler, Mary Fanett. An $L^\infty$ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 8 (1974) no. R2, pp. 61-66. http://www.numdam.org/item/M2AN_1974__8_2_61_0/

[1] J. H. Bramble and J. E. Osborn, Rate of convergence estimates for nonselfadjoint eigenvalue approximations, Math. Comp., 27 (1973), 525-549. | MR 366029 | Zbl 0305.65064

[2] J. Jr Douglas, and T. Dupont Galerkin approximations for the two point boundary problem using continuous piecewise-polynomial spaces, Numer. Math.,, 22 (1974), 99-109. | MR 362922 | Zbl 0331.65051

[3] J. Jr Douglas, and T. Dupont, Superconvergence for Galerkin methods for the two point boundary problem via local projections, Numer. Math., 21 (1973), 270-278. | MR 331798 | Zbl 0281.65046

[4] J. Jr. Douglas, T. Dupont and L. Wahlbin, Optimal L∞ error estimates for Galerkin approximations to solutions of two point boundary problems, to appear. | Zbl 0306.65053

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

[6] J. Jr. Douglas, T. Dupont and M. F. Wheeler, A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems, this Journal, 47-59. | Numdam | MR 359357 | Zbl 0315.65063