Galerkin methods for singular boundary value problems in one space dimension

Authors:
Kenneth Eriksson and Vidar Thomée

Journal:
Math. Comp. **42** (1984), 345-367

MSC:
Primary 65L60; Secondary 65L10

MathSciNet review:
736441

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Abstract | References | Similar Articles | Additional Information

Abstract: Two Galerkin type piecewise polynomial approximation procedures based on bilinear forms with different weight functions are analyzed and compared. Optimal order error estimates are proved and numerical results are presented.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1984-0736441-1

Keywords:
Singular two-point boundary value problem,
singular parabolic equation,
spherical symmetry,
piecewise polynomial approximation,
Galerkin's method,
error estimate

Article copyright:
© Copyright 1984
American Mathematical Society