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On level set type methods for elliptic Cauchy problems (2101.10725v1)
Published 26 Jan 2021 in math.NA and cs.NA
Abstract: Two methods of level set type are proposed for solving the Cauchy problem for an elliptic equation. Convergence and stability results for both methods are proven, characterizing the iterative methods as regularization methods for this ill-posed problem. Some numerical experiments are presented, showing the efficiency of our approaches and verifying the convergence results.