# A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems

Jim Jr. Douglas; Todd Dupont; Mary Fanett Wheeler

- Volume: 8, Issue: R2, page 47-59
- ISSN: 0764-583X

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topDouglas, Jim Jr., Dupont, Todd, and 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 8.R2 (1974): 47-59. <http://eudml.org/doc/193258>.

@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 = {47-59},

publisher = {Dunod},

title = {A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems},

url = {http://eudml.org/doc/193258},

volume = {8},

year = {1974},

}

TY - JOUR

AU - Douglas, Jim Jr.

AU - Dupont, Todd

AU - Wheeler, Mary Fanett

TI - A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 1974

PB - Dunod

VL - 8

IS - R2

SP - 47

EP - 59

LA - eng

UR - http://eudml.org/doc/193258

ER -

## References

top- [1] J. DOUGLAS Jr., T. DUPONT and L. WAHLBIN, Optimal ${L}_{\infty}$ error estimates for Galerkin approximations to solutions of two point boundary value problems, to appear in Math. Comp., Oct. 1974. Zbl0306.65053
- [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. Zbl0279.65086MR403255
- [4] J.-L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris, 1968. Zbl0165.10801MR247243
- [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 ${L}_{\infty}$ error estimate for Galerkin approximations to solutions of two point boundary problems, SIAM, J. Numer. Anal., 10 (1973), 914-917. Zbl0266.65061MR343659

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