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Robust boundary con...
Robust boundary conditions for stochastic incompletely parabolic systems of equations
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- Wahlsten, Markus, 1986- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Nordström, Jan, 1953- (author)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Elsevier BV, 2018
- 2018
- English.
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In: Journal of Computational Physics. - : Elsevier BV. - 0021-9991 .- 1090-2716. ; 371, s. 192-213
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Abstract
Subject headings
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- We study an incompletely parabolic system in three space dimensions with stochastic boundary and initial data. We show how the variance of the solution can be manipulated by the boundary conditions, while keeping the mean value of the solution unaffected. Estimates of the variance of the solution is presented both analytically and numerically. We exemplify the technique by applying it to an incompletely parabolic model problem, as well as the one-dimensional compressible Navier–Stokes equations.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Uncertainty quantification; Incompletely parabolic system; Initial boundary value problems; Stochastic data; Variance reduction; Robust design
Publication and Content Type
- ref (subject category)
- art (subject category)
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