A collocation-Galerkin method for Poisson’s equation on rectangular regions

Díaz, Julio César

doi:10.1090/S0025-5718-1979-0514811-2

A collocation-Galerkin method for Poisson’s equation on rectangular regions

Author: Julio César Díaz
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
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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.

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.

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