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A finite element exterior-to-interior reconstruction in the fractional conductivity inverse problem 5B4AX4SF88

URIm2://res/5B4AX4SF88
Kindpreprint
CreatorsMukul Dwivedi, Jesse Railo, Andreas Rupp
Date2026-10-07
MSC65-XX
Subjectsarxiv math.NA, arxiv cs.NA
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-07
IdsarXiv 2610.10484, zbl_id 903203030

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

ItemKindWhereSource
Tail convergence for fixed limiting sourcesstatementcorollary 4.14arxiv
H\"older concentration ratestatementcorollary 3.7arxiv
Maximum-norm consistency of the regularized reconstructionstatementtheorem 3.12arxiv
2XR2WC93GHstatementproposition 4.17arxiv
Uniform exterior concentrating functionsstatementlemma 3.1arxiv
Perturbation estimate adapted to the exact-input comparisonstatementcorollary 4.18arxiv
Clipped-potential convergence for fixed sourcesstatementproposition 4.7arxiv
Consistency of the tail forward statesstatementproposition 4.8arxiv
Row-wise regularization consistencystatementlemma 3.11arxiv
Logarithmic estimate from discrete Cauchy datastatementproposition 4.20arxiv
Whole-domain error estimate for $Q_\gamma$statementtheorem 4.6arxiv
A priori reconstruction \(L^2\) errorstatementtheorem 3.9arxiv
Consistency of the exact Galerkin DN formstatementlemma 3.4arxiv
Consistency of the reduced tail datastatementlemma 4.9arxiv
Stability of the regularized continuationstatementproposition 4.16arxiv
Exterior reconstruction and maximum-norm convergencestatementtheorem 1.1arxiv
Maximum-norm stability of the regularized reconstruction operatorstatementlemma 3.10arxiv
Final interior error decomposition and convergencestatementtheorem 4.19arxiv
R0BN92NC1Qstatementproposition 3.3arxiv
Uniform quantitative concentrationstatementtheorem 3.6arxiv
Fractional cutoff tail estimatestatementlemma 3.5arxiv
Consistency of the regularized weak fractional Laplacianstatementlemma 4.5arxiv
Measured-sample errorstatementtheorem 3.8arxiv
Well-posedness, DN map, and exterior energy estimatestatementlemma 2.1arxiv
Consistency of the discrete exterior Liouville multiplierstatementlemma 4.2arxiv
Consistency of the projected tailstatementlemma 4.10arxiv
Nonvanishing bubble moments and tail identifiabilitystatementlemma 4.11arxiv
Perturbation of the interior Liouville residualstatementlemma 4.15arxiv
Interior convergence and logarithmic error estimatestatementtheorem 1.2arxiv
Consistency of the reduced separated datastatementlemma 4.3arxiv
Error estimate for the exterior Liouville tailstatementtheorem 4.13arxiv
Shifted Tikhonov regularizationstatementlemma A.1arxiv
Consistency of calibrated and extrapolated samplesstatementlemma B.1arxiv
Logarithmic control of the state biasstatementproposition 4.4arxiv

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