A collocation--Galerkin method for some elliptic equations
Author:
Mitsuhiro Nakao
Journal:
Math. Comp. 42 (1984), 417-426
MSC:
Primary 65N30
DOI:
https://doi.org/10.1090/S0025-5718-1984-0736444-7
MathSciNet review:
736444
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Abstract: A collocation- -Galerkin method is defined for some elliptic boundary value problems on a rectangle. The method uses tensor products of discontinuous piecewise polynomial spaces and collocation based on Jacobi points with weight function
. Optimal order of
rates of convergence is established for the approximation solution. A numerical example which confirms these results is presented.
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1984-0736444-7
Article copyright:
© Copyright 1984
American Mathematical Society