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- W2028542310 abstract "Using uniform global Carleman estimates for discrete elliptic and semi-discrete hyperbolic equations, we study Lipschitz and logarithmic stability for the inverse problem of recovering a potential in a semi-discrete wave equation, discretized by finite differences in a 2-d uniform mesh, from boundary or internal measurements. The discrete stability results, when compared with their continuous counterparts, include new terms depending on the discretization parameter h. From these stability results, we design a numerical method to compute convergent approximations of the continuous potential." @default.
- W2028542310 created "2016-06-24" @default.
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- W2028542310 date "2013-10-18" @default.
- W2028542310 modified "2023-09-30" @default.
- W2028542310 title "Stability of an inverse problem for the discrete wave equation and convergence results" @default.
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