A Posteriori Error Estimate for the 1D Wave Equation
The error of numerical schemes in heterogeneous media is difficult to analyse. In this paper, we derive an a posteriori estimate for the unidimensional wave equation in heterogeneous media. This estimate can be used as a tool to measure the precision of the numerical schemes in such media. The main result is based on a fundamental lemma given by Babuska and Rheinboldt for elliptic problems. We use this result to drive an error estimate for the semi-discrete problem. We also derive an estimate for the fully discretized problem.
Citable link to this pagehttps://hdl.handle.net/1911/101819
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- CAAM Technical Reports