Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6931867 | Journal of Computational Physics | 2015 | 22 Pages |
Abstract
We consider a hyperbolic system with uncertainty in the boundary and initial data. Our aim is to show that different boundary conditions give different convergence rates of the variance of the solution. This means that we can with the same knowledge of data get a more or less accurate description of the uncertainty in the solution. A variety of boundary conditions are compared and both analytical and numerical estimates of the variance of the solution are presented. As an application, we study the effect of this technique on Maxwell's equations as well as on a subsonic outflow boundary for the Euler equations.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Jan Nordström, Markus Wahlsten,