Convergence rates of finite difference schemes for the wave equation with rough coeffiicients
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2013-11
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Abstract
The propagation of acoustic waves in a rough heterogeneous medium is modeled using the linear wave equation with a variable but merely Hölder continuous coefficient. We design robust finite difference discretizations that are shown to converge to the weak solution. We rigorously determine the rate of convergence of these discretizations by an L2 variant of the Kruzkhov doubling of variables technique. Numerical experiments illustrating these rates of convergence are also presented.
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2013-42
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Seminar for Applied Mathematics, ETH Zurich
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03851 - Mishra, Siddhartha / Mishra, Siddhartha
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