Pith Number

pith:433WMLSI

pith:2019:433WMLSIBGONV5ZHKBSIQQFPP2

1 verified not anchored not stored refs pending

A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains

Christopher F. Rowlatt, John A. Mackenzie, Robert H. Insall

A finite element ALE scheme on moving meshes conserves total mass exactly for reaction-diffusion systems on deforming domains, independent of mesh velocity and time-step size.

arxiv:1910.02282 v1 · 2019-10-05 · math.NA · q-bio.CB

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\usepackage{pith}
\pithnumber{433WMLSIBGONV5ZHKBSIQQFPP2}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

✓ Author claim 1 verified · sign in to claim

Robert Insall orcid verified

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

Global conservation of the fully discrete finite element solution is established independently of the ALE velocity field and the time step size.

C2weakest assumption

The MMPDE-based bulk and surface mesh generators remain robust and non-tangling for the class of domain deformations arising in the target cell-migration problems.

C3one line summary

A conservative ALE finite-element method with MMPDE meshing is shown to be globally mass-conserving and second-order accurate for bulk-surface reaction-diffusion systems on evolving 2-D domains.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T12:25:04.834171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f7662e48099cdaf72750648840af7eab94cd15fbe7e265e4fc591600269758

Aliases

arxiv: 1910.02282 · arxiv_version: 1910.02282v1 · doi: 10.48550/arxiv.1910.02282 · pith_short_12: 433WMLSIBGON · pith_short_16: 433WMLSIBGONV5ZH · pith_short_8: 433WMLSI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/433WMLSIBGONV5ZHKBSIQQFPP2 \
  | 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: e6f7662e48099cdaf72750648840af7eab94cd15fbe7e265e4fc591600269758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ffce7920ea8c1d663c16086e64e436aaeb3e9bb26e08ef39c73cb3a016d36ce",
    "cross_cats_sorted": [
      "q-bio.CB"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2019-10-05T15:31:14Z",
    "title_canon_sha256": "8e724c41f6f3ab972d80426e35bfdf98483b8188b0e8ba8c965f7ed485543505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.02282",
    "kind": "arxiv",
    "version": 1
  }
}