On stabilized mixed methods for generalized Stokes problem based on the velocity-pseudostress formulation: a priori error estimates
From MaRDI portal
Publication:695949
DOI10.1016/j.cma.2012.05.006zbMath1253.76053OpenAlexW2066195314MaRDI QIDQ695949
Tomás P. Barrios, Rommel Bustinza, Galina C. García, Erwin Hernández
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.05.006
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms ⋮ Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions ⋮ On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions ⋮ An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem ⋮ Stabilization and a posteriori error analysis of a mixed FEM for convection-diffusion problems with mixed boundary conditions ⋮ An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations ⋮ A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity-pseudostress formulation ⋮ A recovery-based a posteriori error estimator for the generalized Stokes problem. ⋮ Augmented mixed finite element method for the Oseen problem: a priori and a posteriori error analyses ⋮ Stabilized mixed approximation of axisymmetric Brinkman flows ⋮ An a Posteriori Error Estimator for a New Stabilized Formulation of the Brinkman Problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations
- A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows
- Approximation of a class of optimal control problems with order of convergence estimates
- An augmented mixed finite element method with Lagrange multipliers: a priori and a posteriori error analyses
- Well-posedness of the fundamental boundary value problems for constrained anisotropic elastic materials
- Least-squares finite-element methods for optimization and control problems for the Stokes equations
- A stabilized mixed finite element method for Darcy flow
- Theory and practice of finite elements.
- Optimal control of the convection-diffusion equation using stabilized finite element methods
- Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow
- A priori and a posteriori error analysis of an augmented mixed finite element method for incompressible fluid flows
- Approximation of an elliptic control problem by the finite element method
- Error Estimates for the Approximation of a Class of Optimal Control Systems Governed by Linear PDEs
- Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
- Mixed finite element methods for incompressible flow: Stationary Stokes equations
- Finite Element Methods for Navier-Stokes Equations
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- Finite Element Approximation of Parabolic Time Optimal Control Problems
- Mixed and Hybrid Finite Element Methods
- Convergence of Finite Element Approximations to State Constrained Convex Parabolic Boundary Control Problems
- Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
- Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in ℝnwith Dirichlet Boundary Conditions. I: A Priori Error Analysis
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
- Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations
- A mixed finite element method for the generalized Stokes problem
- A posteriori error estimates for distributed convex optimal control problems
