A collocation-Galerkin method for Poisson’s equation on rectangular regions
HTML articles powered by AMS MathViewer
- by Julio César Díaz PDF
- Math. Comp. 33 (1979), 77-84 Request permission
Abstract:
A collocation-Galerkin method is defined for Poisson’s equation on the unit square, using tensor products of continuous piecewise polynomials. Optimal ${L^2}$ and $H_0^1$ orders of convergence are established. This procedure requires fewer quadratures than the corresponding Galerkin procedure.References
-
D. ARCHER & J. C. DÍAZ, "A collocation-Galerkin method for a first order hyperbolic equation." (To appear.)
JULIO CÉSAR DÍAZ VELASCO, A Hybrid Collocation-Galerkin Method for the Two Point Boundary Value Problem Using Continuous Piecewise Polynomials Spaces, Ph.D. Thesis, Rice Univ., Houston, Texas, 1974.
- Julio César Díaz, A collocation-Galerkin method for the two point boundary value problem using continuous piecewise polynomial spaces, SIAM J. Numer. Anal. 14 (1977), no. 5, 844–858. MR 483480, DOI 10.1137/0714057
- Roderick J. Dunn Jr. and Mary Fanett Wheeler, Some collocation-Galerkin methods for two-point boundary value problems, SIAM J. Numer. Anal. 13 (1976), no. 5, 720–733. MR 433896, DOI 10.1137/0713059
- P. M. Prenter and R. D. Russell, Orthogonal collocation for elliptic partial differential equations, SIAM J. Numer. Anal. 13 (1976), no. 6, 923–939. MR 426461, DOI 10.1137/0713073
- Mary Fanett Wheeler, A $C^{0}$-collocation-finite element method for two-point boundary value problems and one space dimensional parabolic problems, SIAM J. Numer. Anal. 14 (1977), no. 1, 71–90. MR 455429, DOI 10.1137/0714005
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 77-84
- MSC: Primary 65N35; Secondary 65N30
- DOI: https://doi.org/10.1090/S0025-5718-1979-0514811-2
- MathSciNet review: 514811