An L ∞ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials

Jim Jr. Douglas; Todd Dupont; Mary Fanett Wheeler

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1974)

  • Volume: 8, Issue: R2, page 61-66
  • ISSN: 0764-583X

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Douglas, Jim Jr., Dupont, Todd, and 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 8.R2 (1974): 61-66. <http://eudml.org/doc/193260>.

@article{Douglas1974,
author = {Douglas, Jim Jr., Dupont, Todd, Wheeler, Mary Fanett},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {R2},
pages = {61-66},
publisher = {Dunod},
title = {An $L^\infty $ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials},
url = {http://eudml.org/doc/193260},
volume = {8},
year = {1974},
}

TY - JOUR
AU - Douglas, Jim Jr.
AU - Dupont, Todd
AU - Wheeler, Mary Fanett
TI - An $L^\infty $ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1974
PB - Dunod
VL - 8
IS - R2
SP - 61
EP - 66
LA - eng
UR - http://eudml.org/doc/193260
ER -

References

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  1. [1] J. H. BRAMBLE and J. E. OSBORN, Rate of convergence estimates for nonselfadjoint eigenvalue approximations, Math. Comp., 27 (1973), 525-549. Zbl0305.65064MR366029
  2. [2] J. Jr DOUGLAS, and T. DUPONTGalerkin approximations for the two point boundary problem using continuous piecewise-polynomial spaces, Numer. Math.,, 22 (1974), 99-109. Zbl0331.65051MR362922
  3. [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. Zbl0281.65046MR331798
  4. [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. Zbl0306.65053
  5. [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. [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. Zbl0315.65063MR359357

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