Cover Image

Four-field mixed finite elements for incompressible nonlinear elasticity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Badia, Santiago, Li, Wei, Ruiz-Baier, Ricardo
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Compatible finite element interpolated neural networks
by: Badia, Santiago, et al.
Published: (2024)

Unfitted finite element interpolated neural networks
by: Li, Wei, et al.
Published: (2025)

An ultra-weak three-field finite element formulation for the biharmonic and extended Fisher--Kolmogorov equations
by: Khot, Rekha, et al.
Published: (2026)

A four-field mixed formulation for incompressible finite elasticity
by: Fu, Guosheng, et al.
Published: (2025)

STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations
by: Martorell, Pere A., et al.
Published: (2024)

Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem
by: Nataraj, Neela, et al.
Published: (2024)

Divergence-free unfitted finite element discretisations for the Darcy problem
by: Badia, Santiago, et al.
Published: (2026)

Analysis of a finite element method for the Stokes--Poisson--Boltzmann equations
by: AlSohaim, Abeer F., et al.
Published: (2025)

A velocity-vorticity-pressure formulation for the steady Navier--Stokes--Brinkman--Forchheimer problem
by: Badia, Santiago, et al.
Published: (2025)

Normal-normal continuous symmetric stresses in mixed finite element elasticity
by: Carstensen, Carsten, et al.
Published: (2025)

Multipoint stress mixed finite element methods for elasticity on cuboid grids
by: Yazici, Ibrahim, et al.
Published: (2025)

Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks
by: Magueresse, Alexandre, et al.
Published: (2023)

A dual-field structure-preserving mixed finite element discretization for incompressible Hall MHD equations
by: Zhang, Yi
Published: (2026)

Parametric charge-conservative mixed finite element method for 3D incompressible inductionless MHD equations on curved domains
by: Jiang, Xue, et al.
Published: (2026)

Virtual element methods for Biot-Kirchhoff poroelasticity
by: Khot, Rekha, et al.
Published: (2023)

High order unfitted finite element discretizations for explicit boundary representations
by: Martorell, Pere A., et al.
Published: (2023)

Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity
by: Piersanti, Paolo, et al.
Published: (2024)

Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities
by: Wang, Jiancheng, et al.
Published: (2024)

An HHT-$α$-based finite element framework for wave propagation in constitutively nonlinear elastic materials
by: Mallikarjunaiah, S. M.
Published: (2026)

Space-time unfitted finite elements on moving explicit geometry representations
by: Badia, Santiago, et al.
Published: (2024)

Consistent splitting SAV schemes for finite element approximations of incompressible flows
by: Pacheco, Douglas R. Q.
Published: (2025)

Comparison of random field discretizations for high-resolution Bayesian parameter identification in finite element elasticity
by: Vanmechelen, Pieter, et al.
Published: (2025)

Analysis of a $\boldsymbol{P}_1\oplus \boldsymbol{RT}_0$ finite element method for linear elasticity with Dirichlet and mixed boundary conditions
by: Li, Hongpeng, et al.
Published: (2024)

An objective isogeometric mixed finite element formulation for nonlinear elastodynamic beams with incompatible warping strains
by: Choi, Myung-Jin, et al.
Published: (2024)

Level-set topology optimisation with unfitted finite elements and automatic shape differentiation
by: Wegert, Zachary J., et al.
Published: (2025)

Adaptive Finite Element Interpolated Neural Networks
by: Badia, Santiago, et al.
Published: (2024)

Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity
by: Chen, Alvin, et al.
Published: (2024)

Adaptive anisotropic composite quadratures for residual minimisation in neural PDE approximations
by: Badia, Santiago, et al.
Published: (2026)

Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
by: Nordbotten, Jan Martin, et al.
Published: (2024)

A parametric finite element method for the incompressible Navier--Stokes equations on an evolving surface
by: Garcke, Harald, et al.
Published: (2025)

Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
by: Lee, David, et al.
Published: (2024)

$hp$-adaptive finite element simulation of a static anti-plane shear crack in a nonlinear strain-limiting elastic solid
by: Mallikarjunaiah, S. M., et al.
Published: (2025)

Lax convergence theorems and error estimates of a finite element method for the incompressible Euler system
by: Lukáčová-Medviďová, Mária, et al.
Published: (2026)

A finite element model to analyze crack-tip fields in a transversely isotropic strain-limiting elastic solid
by: Ghosh, Saugata, et al.
Published: (2025)

Unified numerical analysis for thermoelastic diffusion and thermo-poroelasticity of thin plates
by: Nataraj, Neela, et al.
Published: (2025)

Intrinsic mixed finite element methods for linear Cosserat elasticity
by: Dziubek, Andrea, et al.
Published: (2024)

Mesh-free mixed finite element approximation for nonlinear time-fractional biharmonic problem using weighted b-splines
by: Mandaliya, Jitesh P., et al.
Published: (2024)

A simple modification to mitigate locking in conforming FEM for nearly incompressible elasticity
by: Mustapha, K., et al.
Published: (2024)

Divergence conforming finite element methods for flow-transport coupling with osmotic effects
by: Khan, Arbaz, et al.
Published: (2024)

Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow
by: Zhang, Min, et al.
Published: (2024)