Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
From MaRDI portal
Publication:1578690
DOI10.1016/0045-7825(95)00826-MzbMath1067.76562MaRDI QIDQ1578690
Pavel B. Bochev, Max D. Gunzburger
Publication date: 4 September 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Stokes and related (Oseen, etc.) flows (76D07) 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
A locally conservative, discontinuous least-squares finite element method for the Stokes equations, 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method, Performance of nonconforming spectral element method for Stokes problems, \(H^{-1}\) least-squares method for the velocity-pressure-stress formulation of Stokes equations, Quasi-least-squares finite element method for steady flow and heat transfer with system rotation, Least squares finite element method with high continuity NURBS basis for incompressible Navier-Stokes equations, Temporal, spatial and thermal features of 3-D Rayleigh-Bénard convection by a least-squares finite element method, Weighted least-squares finite element methods for the linearized Navier–Stokes equations, A stabilized finite element method for modeling dispersed multiphase flows using orthogonal subgrid scales, Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach, A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress, A weighted least-squares finite element method for Phan-Thien-Tanner viscoelastic fluid, Parallel least-squares finite element method for time-dependent convection-diffusion system, 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, Some least-squares Galerkin procedures for first-order time-dependent convection-diffusion system, Stress-Velocity Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations, A split least-squares characteristic mixed element method for nonlinear nonstationary convection–diffusion problem, Unnamed Item, Efficient stress-velocity least-squares finite element formulations for the incompressible Navier-Stokes equations, Numerical approximation of the Oldroyd‐B model by the weighted least‐squares/discontinuous Galerkin method, A nonlinear weighted least-squares finite element method for the Oldroyd-B viscoelastic flow, A numerical approximation with WLS/SUPG algorithm for solving White-Metzner viscoelastic flows, An analysis for the compressible Stokes equations by first-order system of least-squares finite element method, Decoupled algorithm for solving Phan-Thien-Tanner viscoelastic fluid by finite element method, Least‐squares method for the Oseen equation, Large eddy simulation of turbulent flows by a least-squares finite element method, Error analysis of a weighted least-squares finite element method for 2-D incompressible flows in velocity-stress-pressure formulation, Solution of Stokes equations by moving least squares, The use of Chebyshev polynomials in the space-time least-squares spectral element method, A nonlinear weighted least-squares finite element method for Stokes equations, Dual-mixed finite element approximation of Stokes and nonlinear Stokes problems using trace-free velocity gradients, Implicit time discretization schemes for mixed least-squares finite element formulations, A two-stage least-squares finite element method for the stress-pressure-displacement elasticity equations, Direct minimization of the discontinuous least-squares spectral element method for viscoelastic fluids, Higher-order Gauss-Lobatto integration for nonlinear hyperbolic equations, Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems, Least-squares spectral method for velocity-vorticity-pressure form of the Stokes equations, Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains, A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry, On First-order Formulations of the Least-squares Finite Element Method for Incompressible Flows, Least-squares mixed generalized multiscale finite element method, New mixed finite elements for plane elasticity and Stokes equations, Lagrangian controllability at low Reynolds number, Least-squares methods for elasticity and Stokes equations with weakly imposed symmetry, Stabilized mixed finite element methods based on Riesz-representing operators for solving saddle point problems, Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions., Analysis of piecewise linear approximations to the generalized Stokes problem in the velocity-stress-pressure formulation, Least-squares mixed finite element methods for the incompressible Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite element approximation of the Navier-Stokes equations
- Least-squares finite element method for fluid dynamics
- An error analysis of least-squares finite element method of velocity- pressure-vorticity formulation for Stokes problem
- A mixed finite element method for the Stokes problem: an acceleration-pressure formulation
- Least-squares finite elements for the Stokes problem
- A finite element method for first order elliptic systems in three dimensions
- Accuracy of least-squares methods for the Navier--Stokes equations
- Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
- Least Squares Methods for Elliptic Systems
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- A least-squares finite element method for incompressible Navier-Stokes problems
- A mixed finite element method for the Navier-Stokes equations
- A least‐squares finite element method for time‐dependent incompressible flows with thermal convection
- Analysis of Least Squares Finite Element Methods for the Stokes Equations
- A THEOREM ON HOMEOMORPHISMS FOR ELLIPTIC SYSTEMS AND ITS APPLICATIONS
- Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
