Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials (Q2276409)
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| Language | Label | Description | Also known as |
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| English | Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials |
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Galerkin methods for stochastic hyperbolic problems using bi-orthogonal polynomials (English)
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5 November 2012
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This paper applies a Galerkin method in conjunction with bi-orthogonal polynomials for solving scalar transport equations whose transport velocity is a random field. This approach decouples the problem into a series of uncoupled problems. Further efficiencies can be obtained by reducing the total degrees of freedom based on a sensitivity analysis under the assumption that the random wave field can be represented by a truncated Karhunen-Loève expansion.
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hyperbolic equation
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regularity
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stochastic Galerkin methods
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bi-orthogonal polynomials
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transport equations
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random field
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Karhunen-Loève expansion
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