Cover Image

Pressure robust finite element discretizations of the nonlinear Stokes equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Diening, Lars, Hirn, Adrian, Kreuzer, Christian, Zanotti, Pietro
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65N30, 65N12, 65N15, 76A05, 76M10, 35J62, 35J92
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
by: Kaltenbach, Alex, et al.
Published: (2024)

Error analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2025)

A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes
by: Quiroz, Daniel Castanon, et al.
Published: (2024)

Error analysis for a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2023)

A Reynolds-semi-robust method with hybrid velocity and pressure for the unsteady incompressible Navier--Stokes equations
by: da Veiga, Lourenço Beirão, et al.
Published: (2025)

Refined stability estimates for mixed problems by exploiting semi norm arguments
by: Gauger, Nicolas, et al.
Published: (2025)

Numerical analysis for constrained and unconstrained Q-tensor energies for liquid crystals
by: Gimperlein, Heiko, et al.
Published: (2025)

Explicit T -coercivity for the Stokes problem: a coercive finite element discretization
by: Ciarlet Jr, Patrick, et al.
Published: (2024)

Tensor finite elements for smectic liquid crystals
by: Führer, Thomas, et al.
Published: (2025)

Convergence analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2024)

Quasi-optimal Discontinuous Galerkin discretisations of the $p$-Dirichlet problem
by: Blechta, J., et al.
Published: (2023)

Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure
by: Botti, Lorenzo, et al.
Published: (2024)

A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems
by: Saye, Robert I.
Published: (2024)

A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities
by: Vexler, Boris
Published: (2024)

Quasi-optimality of the Crouzeix-Raviart FEM for p-Laplace-type problems
by: Storn, Johannes
Published: (2025)

Stabilised finite element method for Stokes problem with nonlinear slip condition
by: Gustafsson, Tom, et al.
Published: (2023)

Nitsche's method for the stationary Boussinesq system under mixed and nonlinear boundary conditions
by: Bansal, Aparna, et al.
Published: (2026)

Trefftz Discontinuous Galerkin discretization for the Stokes problem
by: Lederer, Philip L., et al.
Published: (2023)

Convergence of a regularized finite element discretization of the two-dimensional Monge-Ampère equation
by: Gallistl, Dietmar, et al.
Published: (2021)

Nitsche method for the Stokes-Poisson-Boltzmann equation with Navier slip boundary condition
by: Agrawal, Ayush, et al.
Published: (2026)

Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
by: da Veiga, Lourenço Beirão, et al.
Published: (2021)

The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element
by: Gräßle, Benedikt, et al.
Published: (2022)

New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
by: Lamichhane, Bishnu P., et al.
Published: (2023)

A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
by: Khan, Arbaz, et al.
Published: (2024)

$hp$-Version robust interior penalty discontinuous Galerkin methods for the $p$-Laplacian on simplicial and on essentially arbitrarily-shaped element meshes
by: Georgoulis, Emmanuil H., et al.
Published: (2026)

Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form
by: Caraballo, Ruben, et al.
Published: (2023)

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

Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction
by: Lederer, Philip L., et al.
Published: (2026)

Analyticity and Stable Computation of Dirichlet-Neumann Operators for Laplace's Equation under Quasiperiodic Boundary Conditions in Two and Three Dimensions
by: Nicholls, David P., et al.
Published: (2024)

Convergence analysis and adaptive computation of a Banach-space mixed finite element method for generalized bioconvective flows
by: Colmenares, Eligio, et al.
Published: (2026)

Finite element approximation of stationary Fokker--Planck--Kolmogorov equations with application to periodic numerical homogenization
by: Sprekeler, Timo, et al.
Published: (2024)

Embedded Trefftz DG method for the Helmholtz equation
by: Stocker, Paul, et al.
Published: (2026)

Pressure-improved Scott-Vogelius type elements
by: Bohne, Nis-Erik, et al.
Published: (2024)

Solving the fully nonlinear Monge-Ampère equation using the Legendre-Kolmogorov-Arnold Network method
by: Hu, Bingcheng, et al.
Published: (2025)

DG = FEM + flat elements, Part I: Diffusion
by: Szotkowski, Jiří, et al.
Published: (2026)

Connections Between Finite Difference and Finite Element Approximations for a Convection-Diffusion Problem
by: Bacuta, Constantin, et al.
Published: (2024)

Computational multiscale methods for nondivergence-form elliptic partial differential equations
by: Freese, Philip, et al.
Published: (2022)

Surface elevation errors in finite element Stokes models for glacier evolution
by: Bueler, Ed
Published: (2024)

Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
by: Khan, Arbaz, et al.
Published: (2024)

Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements
by: Burman, Erik, et al.
Published: (2023)