Steady Heat Conduction — conductivity imaging L1-196

Heat TransferElliptic PDE conductivity inversionδ=5 · challengingL_DAG = 3.2📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

d i v (k (x) g r a d T) = 0 in O m e g a; T = T_{D} o n G amm a_{D}, k d T / d n = q o n G amm a_{N}

Steady Heat Conduction — conductivity imaging forward model.

L-DAG

L.apply_flux -> L.elliptic_solve -> S.record.surface -> int.spatial

L.apply_fluxL.elliptic_solveS.record.surfaceint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 700

Calderon inverse conductivity problem — well-posed with full boundary data, ill-posed with sparse measurements.

Solvability C

Solver class:: FEM-Newton, Levenberg-Marquardt, DeepONet-k
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.