zbMATH — the first resource for mathematics

A note on \(C^ 0\) Galerkin methods for two-point boundary problems. (English) Zbl 0462.65053

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
Full Text: DOI EuDML
[1] Abramowitz, A., Stegun, I.: Handbook of mathematical functions. Dover Publications, 1968 · Zbl 0171.38503
[2] Bakker, M.: On the numerical solution of parabolic equations in a single space variable by the continuous time Galerkin method. SIAM J. Num. Anal.17, 161-177 (1980) · Zbl 0438.65094
[3] Ciarlet, P.G., Raviart, P.A.: General Lagrange and Hermite interpolation inR N with applications to finite element methods. Arch. Rational. Mech. Anal.46, 177-199 (1972) · Zbl 0243.41004
[4] Douglas, J. Jr., Dupont, T.: Galerkin approximations for the two-point boundary problem using continuous, piecewise polynomial spaces. Num. Mat.22, 99-109 (1974) · Zbl 0331.65051
[5] Lesaint, P., Zlamal, M.: Superconvergence of the gradient of finite element solutions. R.A.I.R.O.13, 139-166 (1979) · Zbl 0412.65051
[6] Strang, G., Fix, G.J.: An analysis of the finite element method. Englewood Cliffs, New Jersey: Prentice-Hall 1973 · Zbl 0356.65096
[7] Wheeler, M.F.: An optionalL, error estimate for Galerkin approximations to solutions of two-point boundary problems. SIAM J. Num. Anal.10, 914-917 (1973) · Zbl 0266.65061
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.