Stabilized finite element methods for the generalized Oseen problem

From MaRDI portal
Publication:2459281

DOI10.1016/j.cma.2006.07.011zbMath1120.76322OpenAlexW1988674871MaRDI QIDQ2459281

Erik Burman, Volker John, Gert Lube, Malte Braack

Publication date: 5 November 2007

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.2006.07.011



Related Items

Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models, Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes, A nodal integration based two level local projection meshfree stabilization method for convection diffusion problems, The nonconforming virtual element method for Oseen’s equation using a stream-function formulation, DNN-MG: a hybrid neural network/finite element method with applications to 3D simulations of the Navier-Stokes equations, A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation, A reduced discrete inf-sup condition inLpfor incompressible flows and application, Remarks on the Internal Exponential Stabilization to a Nonstationary Solution for 1D Burgers Equations, Analysis of the Pressure Stabilized Petrov--Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions, Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms, An embedded discontinuous Galerkin method for the Oseen equations, A generic interface for parallel cell-based finite element operator application, On the grad-div stabilization for the steady Oseen and Navier-Stokes equations, Adaptive stabilized finite volume method and convergence analysis for the Oseen equations, A projection-based variational multiscale method for the optimal control problems governed by the stationary Navier-Stokes equations, A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems, A conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular grid, A neural network multigrid solver for the Navier-Stokes equations, A stabilized multidomain partition of unity approach to solving incompressible viscous flow, A novel formulation for Neumann inflow boundary conditions in biomechanics, A Posteriori Error Estimation for a PDE-Constrained Optimization Problem Involving the Generalized Oseen Equations, Time-dependent subgrid scales in residual-based large eddy simulation of turbulent channel flow, Numerical studies of finite element variational multiscale methods for turbulent flow simulations, Numerical analysis and computational comparisons of the NS-alpha and NS-omega regularizations, Local projection stabilization for linearized Brinkman–Forchheimer–Darcy equation, A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems, Stabilized finite element methods for the Oberbeck-Boussinesq model, A stochastic perturbation edge-based smoothed finite element method for the analysis of uncertain structural-acoustics problems with random variables, A numerical investigation of velocity-pressure reduced order models for incompressible flows, Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements, Stability in 3d of a sparse Grad-div approximation of the Navier-Stokes equations, On the determination of the grad-div criterion, 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, A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity, Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes, Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures, Stabilization by local projection for convection-diffusion and incompressible flow problems, Supremizer stabilization of POD-Galerkin approximation of parametrized steady incompressible Navier-Stokes equations, A face-oriented stabilized Nitsche-type extended variational multiscale method for incompressible two-phase flow, Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations, A unified convergence analysis for local projection stabilisations applied to the Oseen problem, An algebraic variational multiscale-multigrid method for large-eddy simulation: generalized-\(\alpha\) time integration, Fourier analysis and application to turbulent flow past a square-section cylinder, \(H(\operatorname{div})\) conforming methods for the rotation form of the incompressible fluid equations, High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain, An extended algebraic variational multiscale-multigrid-multifractal method (XAVM\(^4\)) for large-eddy simulation of turbulent two-phase flow, Versatile mixed methods for the incompressible Navier-Stokes equations, Stabilized reduced basis methods for parametrized steady Stokes and Navier-Stokes equations, Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow, On the parameter choice in grad-div stabilization for the Stokes equations, Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows, A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes, Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion, An extended residual-based variational multiscale method for two-phase flow including surface tension, Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity, Local projection stabilized Galerkin approximations for the generalized Stokes problem, Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations, A residual local projection method for the Oseen equation, Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD, Variational multiscale method for the optimal control problems of convection--diffusion--reaction equations, An adaptive residual local projection finite element method for the Navier-Stokes equations, A finite element variational multiscale method for incompressible flow, Semi-discrete a priori error analysis for the optimal control of the unsteady Navier-Stokes equations with variational multiscale stabilization, Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem, A discretize-then-map approach for the treatment of parameterized geometries in model order reduction, Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids, A high-order local projection stabilization method for natural convection problems, A mixed/hybrid Dirichlet formulation for wall-bounded flow problems including turbulent flow, A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem, Stabilized finite element schemes for incompressible flow using Scott-Vogelius elements, On the impact of the scheme for solving the higher dimensional equation in coupled population balance systems, A review of variational multiscale methods for the simulation of turbulent incompressible flows, Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection, A projection-based stabilized finite element method for steady-state natural convection problem, Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids, On the accuracy of the finite element method plus time relaxation, A finite element/neural network framework for modeling suspensions of non-spherical particles. Concepts and medical applications, Numerical simulation of fluid-structure interaction problems on hybrid meshes with algebraic multigrid methods, Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow, Stabilized equal low-order finite elements in ice sheet modeling -- accuracy and robustness, Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors, Local projection stabilization for advection-diffusion-reaction problems: one-level vs. two-level approach, A variational multi-scale method with spectral approximation of the sub-scales: application to the 1D advection-diffusion equations, A posteriori error estimates of finite element method for the time-dependent Oseen equations, On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime, Residual-based variational multiscale methods for laminar, transitional and turbulent variable-density flow at low Mach number, Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs, On the accuracy of the rotation form in simulations of the Navier-Stokes equations, Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations, Modeling and simulations for fluid and rotating structure interactions, Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem, Augmented mixed finite element method for the Oseen problem: a priori and a posteriori error analyses, Gradient jump penalty stabilisation of spectral/\( h p\) element discretisation for under-resolved turbulence simulations, Discontinuous Galerkin methods through the Lens of variational multiscale analysis, A stabilized Nitsche cut finite element method for the Oseen problem, A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions, A partition of unity approach to fluid mechanics and fluid-structure interaction, Numerical simulation of premixed combustion using an enriched finite element method, A Locally Adapting Parameter Design for the Divergence Stabilization of FEM Discretizations of the Navier-Stokes Equations, The VMS workshop series, Finite element approximation of singular power-law systems, Edge patch-wise local projection stabilized nonconforming FEM for the Oseen problem, Mixed finite element methods for the Oseen problem, Three-dimensional flows of incompressible Navier-Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall, A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems, Virtual element methods for a stream-function formulation of the Oseen equations, Vorticity-stabilized virtual elements for the Oseen equation, Numerical analysis of penalty stabilized finite element discretizations of evolution Navier-Stokes equations, Beyond pressure stabilization: A low-order local projection method for the Oseen equation



Cites Work