This article is cited in 13 papers

Justification of the Collocation Method for a Class of Surface Integral Equations

E. G. Khalilov

Azerbaijan State University of Oil and Industry

Abstract: The application of the collocation method to the boundary integral equation of the exterior Dirichlet boundary-value problem for the Helmholtz equation is justified. In addition, a new method for constructing cubature formulas for surface singular integrals is proposed.

Keywords: Helmholtz equation, exterior Dirichlet boundary-value problem, cubature formula, surface singular integral, collocation method.

UDC: 517.2+519.64

Received: 18.03.2015

DOI: 10.4213/mzm10729

 English version: Mathematical Notes, 2020, 107:4, 663–678

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