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[math-05] Derive magnetic kernels, basis transforms, and Poisson systems#208

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krystophny wants to merge 1 commit into
fix/kim-fp-187-offdiagonal-kernelfrom
fix/kim-fp-197-poisson-oracle
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[math-05] Derive magnetic kernels, basis transforms, and Poisson systems#208
krystophny wants to merge 1 commit into
fix/kim-fp-187-offdiagonal-kernelfrom
fix/kim-fp-197-poisson-oracle

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@krystophny

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Summary

  • derive magnetic-drive/current kernels and Fourier/hat basis transforms
  • derive weak and periodic Poisson operators, boundary terms, gauge rules, and field reconstruction
  • commit deterministic field-operator matrix fixtures and formula mappings

Why

The field solve and reconstruction conventions have an independent symbolic derivation.

Validation

Validated cumulatively at the stack head:

  • cmake --build build -j2
  • ctest --test-dir build -E 'test_rhs_balance|test_periodic_convergence|test_periodic_vs_global' --output-on-failure — 35/35 passed

Known red gates are intentionally excluded from that command: the pre-existing test_rhs_balance baseline failure, the periodization-deformation acceptance gate, and the unresolved periodic-vs-global 5% agreement gate.

Stack

Base: fix/kim-fp-187-offdiagonal-kernel
Head: fix/kim-fp-197-poisson-oracle

Closes #197

@marjohma

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Closing this draft because GitHub cannot change a pull request author in place. It will be recreated unchanged using Markus Markl's marjohma credentials.

@marjohma marjohma closed this Jul 14, 2026
@marjohma

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Replacement authored by Markus Markl (@marjohma): #220

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2 participants