A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems

DOI10.1016/j.cam.2021.113542zbMath1468.65197OpenAlexW3133688016MaRDI QIDQ2020592

Jordan A. Shaw-Carmody, Bishnu P. Lamichhane

Publication date: 23 April 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113542

zbMATH Keywords

mixed finite elementsinf-sup conditionStokes equationsbiorthogonal systemlocal stabilisation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

A LOCAL PROJECTION STABILIZATION FOR CONVECTION–DIFFUSION–REACTION EQUATIONS USING BIORTHOGONAL SYSTEMS

Cites Work

• Stabilization by local projection for convection-diffusion and incompressible flow problems
• Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem
• Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases
• Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions
• Local projection stabilization of equal order interpolation applied to the Stokes problem
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Local projection stabilization for the Oseen problem
• A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions
• Patch‐wise local projection stabilized finite element methods for convection–diffusion–reaction problems
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems