Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 538

The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.

THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW

Open access
OÑATE, E., IDELSOHN, S. R., DEL PIN, F., AUBRY, R.·2004·International Journal of Computational Methods

Abstract

We present a general formulation for the analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use of a Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are thus viewed as particles which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility condition in the fluid is introduced via the finite calculus (FIC) method. A fractional step scheme for the transient coupled fluid-structure solution is described. Examples of application of the PFEM method to solve a number of fluid-structure interaction problems involving large motions of the free surface and splashing of waves are presented.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1142/s0219876204000204

Cites

20 of 20 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 20 references

Metadata

Authors
OÑATE, E., IDELSOHN, S. R., DEL PIN, F., & AUBRY, R.
Venue
International Journal of Computational Methods
Published
2004-09
Volume
01
Issue
02
Pages
267-307
ISSN
  • 0219-8762 (ISSN-L)
  • 1793-6969
OpenAlex
W2110573955
Cited by
538
References
20
FWCI
10.78
Type
journal article
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW. https://app.cochat.ai/papers/10.1142/s0219876204000204
The paper
OÑATE, E., IDELSOHN, S. R., DEL PIN, F., & AUBRY, R. (2004). THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW. International Journal of Computational Methods. https://doi.org/10.1142/s0219876204000204

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.