A correct treatment of an ill-posed boundary equation in the acoustics of closed regions (Q1395329)
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scientific article; zbMATH DE number 1940690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A correct treatment of an ill-posed boundary equation in the acoustics of closed regions |
scientific article; zbMATH DE number 1940690 |
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A correct treatment of an ill-posed boundary equation in the acoustics of closed regions (English)
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1 July 2003
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The author proposes an unconventional treatment of the boundary integral equation method for the Helmholtz wave equation. As a result, the boundary value problem in a bounded domain is reduced to an integral equation of the first kind with a smooth kernel. The integral equation is ill-posed in the sense of Tikhonov. A special projection method is employed to transform it into a well-posed infinite algebraic system. A stable method is suggested for solving the system.
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boundary value problem
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acoustics
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integral equations
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ill-posed
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waves
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regularization
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solution
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