Arbitrary Lagrangian–Eulerian Methods
By J. Donea, Antonio Huerta, Jean-Philippe Ponthot, A. Rodríguez‐Ferran. 2004
1,076 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/050d0ebfd0f46bfc99106b89e9cb39a1952e5e6a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
In Computational Mechanics
- S. Griffies
- A. Gens
- Eric J. M. Rignot
- Jorge San Martín
- Takéo Takahashi
- Loredana Smaranda
- M. Arroyo
- Eric Y. Larour
Citations in the corpus
- Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time (2009, methodology): “This method have been proposed and studied by many authors: [12], [14], [23], [15], [30], [16], [27], [13], [17].”
- Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM) (2012, methodology): “We do not use s-coordinates [Pattyn, 2003] but rely on the Arbitrary Lagrangian-Eulerian (ALE) method [Hughes et al., 1981;Donea et al., 2004].”
- OMIP contribution to CMIP6: experimental and diagnostic protocol for the physical component of the Ocean Model Intercomparison Project (2016, methodology): “…of terrain-following coordinates and isopycnal coordinates are gaining traction in the climate community, along with even more general features offered by the arbitrary Lagrangian–Eulerian (ALE) method (e.g. Bleck, 2002; Donea et al., 2004; Adcroft and Hallberg, 2006; Petersen et al., 2015).”
- Formulation of a dynamic material point method (MPM) for geomechanical problems (2013, methodology): “As the computational mesh is completely decoupled from the material, convective terms appear in Eulerian FEM, introducing numerical difficulties because of their non-symmetrical properties [60].”
- Coupled effective stress analysis of insertion problems in geotechnics with the Particle Finite Element Method (2018, methodology): “ALE finite element formulations combine the Lagrangian and Eulerian kinematic descriptions, by separately considering material and computational mesh motions (Donea et al. 2004).”