Pith Number

pith:VCAO7DNB

pith:2026:VCAO7DNBQKVW6K5RPADOFEPV6Y

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$\ell$FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements

Bal\'azs Kov\'acs, Michael Lantelme

ℓFEM is a loop-free MATLAB package implementing isoparametric bulk and surface finite elements with high-order support, assembly details, and performance tests.

arxiv:2605.14035 v1 · 2026-05-13 · math.NA · cs.NA

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Claims

C1strongest claim

The ℓFEM MATLAB package provides a simple, efficient, and flexible implementation of isoparametric finite elements in bulk domains and on surfaces with completely loop-free matrix assemblies based on paged operators.

C2weakest assumption

That MATLAB's paged operators deliver competitive performance for the described high-order isoparametric surface elements without hidden overheads that would negate the loop-free advantage.

C3one line summary

ℓFEM is a loop-free MATLAB package implementing isoparametric bulk and surface finite elements with high-order support, assembly details, and performance tests.

References

40 extracted · 40 resolved · 0 Pith anchors

[1] J. Alberty, C. Carstensen, and S. A. Funken , Remarks around 50 lines of Matlab: short finite element implementation, Numer. Algorithms, 20 (1999), pp. 117–137, https://doi.or g/10.1023/A:101915591807 1999 · doi:10.1023/a:1019155918070

[2] R. Anderson, J. Andrej, A. Barker, J. Bramwell, J.-S. Camier, J. Cerveny, V. Dobrev, Y. Dudouit, A. Fisher, T. Kolev, W. Pazner, M. Stowell, V. Tomov, I. Akkerman, J. Dahm, D. Medina, and S. Zampini , 2021 · doi:10.1016/j.camwa.2020.06.009

[3] J. W. Barrett, H. Garcke, and R. Nürnberg , Parametric finite element approximations of curvature-driven interface evolutions, in Geometric partial differential equations. Part I, vol. 21 of Handb. Nu 2020

[4] S. Bartels, C. Carstensen, and A. Hecht , P2Q2Iso2D = 2D isoparametric FEM in Matlab, J. Comput. Appl. Math., 192 (2006), pp. 219–250 2006

[5] P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, and O. Sander , A generic grid interface for parallel and adaptive scientific computing. part ii: Implementation an 2008 · doi:10.1007/s00607-008-0004-9

Formal links

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Receipt and verification

First computed	2026-05-17T23:39:12.799453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a880ef8da182ab6f2bb17806e291f5f61c8410ab87ca4eccfdc5be6fc435be48

Aliases

arxiv: 2605.14035 · arxiv_version: 2605.14035v1 · doi: 10.48550/arxiv.2605.14035 · pith_short_12: VCAO7DNBQKVW · pith_short_16: VCAO7DNBQKVW6K5R · pith_short_8: VCAO7DNB

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VCAO7DNBQKVW6K5RPADOFEPV6Y \
  | 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: a880ef8da182ab6f2bb17806e291f5f61c8410ab87ca4eccfdc5be6fc435be48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040f642896a5330fd7a7346e746eca40aada2310f889449cf9d77ba22af438e1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-13T18:54:40Z",
    "title_canon_sha256": "a6283b4a97850a59b16ca5c26a5187ce339cec805a25ed46234ee349495ddd5d"
  },
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  "source": {
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    "kind": "arxiv",
    "version": 1
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}