The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (818 KB) | Metadata | Table of Contents | ZAA summary
Volume 13, Issue 4, 1994, pp. 683–695
DOI: 10.4171/ZAA/483

Published online: 1994-12-31

A Fully Discrete Approximation Method for the Exterior Neumann Problem of the Helmholtz Equation

Siegfried Prössdorf and J.-J. Saranen[1]

(1) University of Oulu, Finland

Considering an exterior domain with smooth closed boundary curve we introduce a fully discrete scheme for the solution of the acoustic boundary value problem of the Neumann type. We use a boundary integral formulation of the problem which leads to a hypersingular boundary integral equation. Our discretization scheme for the latter equation can be con-sidered as a discrete version of the trigonometric collocation method and has arbitrarily high convergence rate, even exponential if the solution and the curve are analytic.

Keywords: Helmholtz equation, exterior problems, hypersingular operators, discrete approximation methods

Prössdorf Siegfried, Saranen J.-J.: A Fully Discrete Approximation Method for the Exterior Neumann Problem of the Helmholtz Equation. Z. Anal. Anwend. 13 (1994), 683-695. doi: 10.4171/ZAA/483