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XFEM — extended finite element for cracks L1-222
Structural MechanicsEnriched FE with discontinuous shape functionsδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable
📋
Unclaimed Principle — open for contribution
This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.
To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.
Forward model E
XFEM — extended finite element for cracks forward model.
L-DAG
L.level_set -> L.enrich_shape -> L.heaviside_branch -> int.spatial
L.level_setL.enrich_shapeL.heaviside_branchint.spatial
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 360
Conditional stability; mismatch parameters dominate at Omega bounds.
Solvability C
- Solver class:
- Abaqus-XFEM, Goftit-XFEM, XFEM-NN
- Convergence rate q:
- 2
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.