Stability and regularization for determining sets of discrete Laplacian

DOI10.1088/0266-5611/29/7/075018zbMath1282.65139OpenAlexW2023799095MaRDI QIDQ2861891

Eugenia Malinnikova, Maru Guadie

Publication date: 11 November 2013

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/29/7/075018

zbMATH Keywords

inverse problemserror boundsdiscrete harmonic functionsreconstruction of harmonic functionsoptimal choice of the mesh size

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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