Stability and regularization for determining sets of discrete Laplacian (Q2861891)
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scientific article; zbMATH DE number 6225044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and regularization for determining sets of discrete Laplacian |
scientific article; zbMATH DE number 6225044 |
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Stability and regularization for determining sets of discrete Laplacian (English)
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11 November 2013
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discrete harmonic functions
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reconstruction of harmonic functions
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optimal choice of the mesh size
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inverse problems
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error bounds
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0.91578186
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0.9127215
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0.8988265
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0.89067376
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0.8813643
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0.8702425
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The authors study determining sets for discrete harmonic functions on square lattices. The stability and regularization of the reconstruction of harmonic functions from the values on a part of a domain are discussed. Error bounds and a proposal of an optimal choice of the mesh size of discretization are obtained for some model sets.
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