Solution of the Exterior Boundary Value Problem for the Helmholtz Equation Using Overlapping Domain Decomposition

A method for solving the exterior three-dimensional boundary value problem for the Helmholtz equation is proposed and investigated. The method is based on an overlapping decomposition of the external domain and on the Schwarz alternating method with the successive solution of the interior and exteri...

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Veröffentlicht in:	Computational mathematics and mathematical physics 2022, Vol.62 (5), p.784-796
Hauptverfasser:	Petukhov, A. V., Savchenko, A. O.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Computational Mathematics and Numerical Analysis Convergence Decomposition Domain decomposition methods Finite volume method Helmholtz equations Mathematics Mathematics and Statistics Partial Differential Equations Problem solving
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