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A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. (English) Zbl 0315.65063

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
35K20 Initial-boundary value problems for second-order parabolic equations
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References:
[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 · 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. Zbl0279.65086 MR403255 · Zbl 0279.65086
[4] J.-L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications, Vol. 1, Dunod, Paris, 1968. Zbl0165.10801 MR247243 · 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 \infty error estimate for Galerkin approximations to solutions of two point boundary problems, SIAM, J. Numer. Anal., 10 (1973), 914-917. Zbl0266.65061 MR343659 · Zbl 0266.65061
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