Article

An adequate computational model for a mixed problem for the wave equation in a domain with an angle

Mirzoali KhudoyberganovNational University of Uzbekistan named after M. Ulugbek, University str. 4, Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Abstract

In the paper we consider the mixed problem for the wave equation in a domain with an angle. The problem under consideration is reduced to an initial-boundary value problem for symmetric hyperbolic systems with dissipative boundary conditions. We suggested the difference scheme for hyperbolic systems of equations. Stability problem of such scheme is studied. The numerical solution is found such that the Lopatinsky condition is fulfilled on every boundary.

Topics

Differential Equations and Boundary Problems Geotechnical and Geomechanical Engineering Differential Equations and Numerical Methods

Identifiers

DOI: 10.1063/5.0057039

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