Edge stabilization for the generalized Stokes problem: a continuous interior penalty method

DOI10.1016/j.cma.2005.05.009zbMath1125.76038OpenAlexW2124866833MaRDI QIDQ2384198

Publication date: 20 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://infoscience.epfl.ch/record/103001/files/m2an_v4.pdf

zbMATH Keywords

finite element porous media inf-sup condition gradient jumps

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Robust stabilised finite element solvers for generalised Newtonian fluid flows, Simulation of vesicle using level set method solved by high order finite element, Performance of nonconforming spectral element method for Stokes problems, A simple pressure stabilization method for the Stokes equation, Continuous interior penalty finite element methods for Sobolev equations with convection-dominated term, Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche's method and cut finite elements, Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence, Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions, A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations, An Augmented Lagrangian Preconditioner for the Magnetohydrodynamics Equations at High Reynolds and Coupling Numbers, On adaptive grad-div parameter selection, On the physical consistency between three-dimensional and one-dimensional models in haemodynamics, Robin-type domain decomposition with stabilized mixed approximation for incompressible flow, Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?, Incremental displacement-correction schemes for incompressible fluid-structure interaction. Stability and convergence analysis, Structure preserving transport stabilized compatible finite element methods for magnetohydrodynamics, A Nitsche-based formulation for fluid-structure interactions with contact, Adaptive stabilized finite elements via residual minimization onto bubble enrichments, Stabilized immersed isogeometric analysis for the Navier-Stokes-Cahn-Hilliard equations, with applications to binary-fluid flow through porous media, Discontinuous subgrid formulations for transport problems, Finite element simulation of fluid dynamics and CO\(_2\) gas exchange in the alveolar sacs of the human lung, Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization, Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows, Numerical simulation of blood flows through a porous interface, Stabilized finite elements for transient flow problems on varying spatial meshes, Local projection stabilized Galerkin approximations for the generalized Stokes problem, Solving ill-posed control problems by stabilized finite element methods: an alternative to Tikhonov regularization, Stabilized finite element methods for the generalized Oseen problem, SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators, Skeleton-stabilized isogeometric analysis: high-regularity interior-penalty methods for incompressible viscous flow problems, Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems, Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements, A projection-based stabilized virtual element method for the unsteady incompressible Brinkman equations, A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation, Numerical computations with \(H(\mathop{div})\)-finite elements for the Brinkman problem, Local CIP Stabilization for Composite Finite Elements, A continuous finite element method with face penalty to approximate Friedrichs' systems, A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations, An equal-order hybridized discontinuous Galerkin method with a small pressure penalty parameter for the Stokes equations, Stabilized equal low-order finite elements in ice sheet modeling -- accuracy and robustness, Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates, Equal order approximations enriched with bubbles for coupled Stokes-Darcy problem, A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations, A recovery-based a posteriori error estimator for the generalized Stokes problem., Skeleton-stabilized divergence-conforming B-spline discretizations for incompressible flow problems of high Reynolds number, A Stabilized Cut Finite Element Method for the Three Field Stokes Problem, Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains

Cites Work