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

 Access to full text

 Full (PDF)

1. [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. [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. [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. [4] J.-L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris, 1968. Zbl0165.10801MR247243
5. [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. [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

1. Jim Jr. Douglas, Todd Dupont, Mary Fanett Wheeler, An $L^{\infty }$ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials