Pith Number

pith:VENF7IKT

pith:2026:VENF7IKTC3DNT4NJYNV46XTJXI

not attested not anchored not stored refs pending

An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology

Marco Feder, Pasquale Claudio Africa

An agglomeration-based multilevel preconditioner accelerates iterative solvers for the discontinuous Galerkin discretization of cardiac electrophysiology models.

arxiv:2602.16312 v3 · 2026-02-18 · math.NA · cs.NA

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\pithnumber{VENF7IKTC3DNT4NJYNV46XTJXI}

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Record completeness

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2 Internet Archive

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The results demonstrate strong solver effectiveness and favorable scalability with respect to both the polynomial degree of the discretization and the number of levels selected in the multigrid preconditioner.

C2weakest assumption

The agglomeration procedure produces sufficiently regular polytopic elements at coarser levels that preserve the stability and approximation properties needed for the multilevel preconditioner to remain effective across the tested ionic models and geometries.

C3one line summary

Agglomeration-based multigrid preconditioner improves convergence for DG-discretized cardiac electrophysiology models on unstructured polytopic grids with good scaling in polynomial degree and hierarchy depth.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-19T16:09:55.174300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91a5fa15316c6d9f1a9c36bcf5e69ba127e6287369d4b69c941613d5ae944a8

Aliases

arxiv: 2602.16312 · arxiv_version: 2602.16312v3 · doi: 10.48550/arxiv.2602.16312 · pith_short_12: VENF7IKTC3DN · pith_short_16: VENF7IKTC3DNT4NJ · pith_short_8: VENF7IKT

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VENF7IKTC3DNT4NJYNV46XTJXI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a91a5fa15316c6d9f1a9c36bcf5e69ba127e6287369d4b69c941613d5ae944a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b6cf050b054a8cc3c3b66694e28be5b01d32fdfc4b8279bb0f02416a79b263",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-02-18T09:47:20Z",
    "title_canon_sha256": "9707073431cd1ff3a5654477727e13d0cba364476c4de50c195c2a2406a94359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.16312",
    "kind": "arxiv",
    "version": 3
  }
}