A stochastic collocation method for the second-order wave equation with a discontinuous random speed (Q1939649)
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scientific article; zbMATH DE number 6141191
| Language | Label | Description | Also known as |
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| English | A stochastic collocation method for the second-order wave equation with a discontinuous random speed |
scientific article; zbMATH DE number 6141191 |
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A stochastic collocation method for the second-order wave equation with a discontinuous random speed (English)
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5 March 2013
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The authors analyse a stochastic collocation method for solving the second-order wave equation in heterogeneous media with piecewise smooth random wave speed in the non-overlapping subdomains. Full and sparse tensor products of orthogonal polynomials are considered and error estimates as a function of the number of collocation points are developed. In general, the convergence rate is shown to be algebraic. Some numerical results are given.
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stochastic collocation
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wave equation
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generogeneous media
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full and sparse tensor products
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error estimates
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convergence
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numerical results
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