An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems
type: Item
instance of: scholarly article
title: An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems
zbMATH Open document ID: 1493.65201
author: Deepika Garg
author: Sashikumaar Ganesan
published in: Applied Numerical Mathematics
publication date: 2021-11-02T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7418829
zbMATH Keywords: finite element method
zbMATH Keywords: Stokes problem
zbMATH Keywords: Darcy problems
zbMATH Keywords: generalized local projection stabilization
zbMATH Keywords: inf-sup condition
zbMATH Keywords: error estimates
Wikidata QID: Q114208213
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.09.001
OpenAlex ID: W3198560216
cites work: Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
cites work: On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces
cites work: A finite element pressure gradient stabilization for the Stokes equations based on local projections
cites work: A finite element time relaxation method
cites work: Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem
cites work: A locally conservative least‐squares method for Darcy flows
cites work: A computational study of stabilized, low-order \(C^{0}\) finite element approximations of Darcy equations
cites work: Optimal Control in Fluid Mechanics by Finite Elements with Symmetric Stabilization
cites work: Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
cites work: Equal-order finite elements with local projection stabilization for the Darcy-brinkman equations
cites work: Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
cites work: On the stability of the \(L^2\) projection in \(H^1(\omega)\)
cites work: The Mathematical Theory of Finite Element Methods
cites work: Q4105995
cites work: A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
cites work: A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
cites work: A continuous finite element method with face penalty to approximate Friedrichs' systems
cites work: Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
cites work: Continuous Interior Penalty Finite Element Method for Oseen's Equations
cites work: Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
cites work: A stabilized non-conforming finite element method for incompressible flow
cites work: A unified stabilized method for Stokes' and Darcy's equations
cites work: Local projection stabilization for the Oseen problem
cites work: Patch‐wise local projection stabilized finite element methods for convection–diffusion–reaction problems
cites work: Theory and practice of finite elements.
cites work: An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations
cites work: Local projection stabilization of equal order interpolation applied to the Stokes problem
cites work: Stabilization by local projection for convection-diffusion and incompressible flow problems
cites work: Subgrid stabilization of Galerkin approximations of linear monotone operators
cites work: A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
cites work: A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations
cites work: On the stability of finite-element discretizations of convection-diffusion-reaction equations
cites work: Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
cites work: Spectral discretization of Darcy equations coupled with Stokes equations by vorticity–velocity–pressure formulations
cites work: A stabilized mixed finite element method for Darcy flow
cites work: Q3585693
cites work: Q2550279
cites work: Q4011872
cites work: Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
DOI: 10.1016/J.APNUM.2021.09.001
description: scientific article