An algorithm of solution of nonstationary boundary value problems for diffraction of elastic waves (Q2754706)
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scientific article; zbMATH DE number 1668361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algorithm of solution of nonstationary boundary value problems for diffraction of elastic waves |
scientific article; zbMATH DE number 1668361 |
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4 November 2001
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R-function technique
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variational principles
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Laplace transform
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0.90883386
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0.89154184
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0.8839428
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0.87972003
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0.87826407
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0.8781582
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0.8766898
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An algorithm of solution of nonstationary boundary value problems for diffraction of elastic waves (English)
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A general problem of elastic wave diffraction is considered. It is suggested to solve the problem using Laplace transform. The general solution in the transform domain is represented using functions describing equations of boundary and some special functions (classic polynomials or polynomials with local bearers). The latter can be represented as expansions with coefficients determined from corresponding variational principles. The suggested approach for approximate calculation of the inverse Laplace transform enables one to find the original by values of its transformation on the real axis and is reduced to summing up convergent series.
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