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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Error analysis of a boundary element collocation method for a screen problem in $\textbf {R}^ 3$
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by M. Costabel, F. Penzel and R. Schneider PDF
Math. Comp. 58 (1992), 575-586 Request permission


We examine the numerical approximation of the first-kind integral equation on a plane rectangle defined by the single-layer potential of the three-dimensional Laplacian. The solution is approximated by nodal collocation with piecewise bilinear trial functions on a rectangular grid. We prove stability and convergence of this method in the Sobolev space ${\tilde H^{ - 1/2}}$. A key ingredient in the proof is the observation that the collocation equations define symmetric positive definite Toeplitz matrices.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 58 (1992), 575-586
  • MSC: Primary 65N38; Secondary 65R20
  • DOI:
  • MathSciNet review: 1122060