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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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A collocation-$H^{-1}$-Galerkin method for some elliptic equations
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by Mitsuhiro Nakao PDF
Math. Comp. 42 (1984), 417-426 Request permission


A collocation-${H^{ - 1}}$-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 ${x^2}{(1 - x)^2}$. Optimal order of ${L^2}$ rates of convergence is established for the approximation solution. A numerical example which confirms these results is presented.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 42 (1984), 417-426
  • MSC: Primary 65N30
  • DOI:
  • MathSciNet review: 736444