Stabilization by local projection for convection-diffusion and incompressible flow problems
From MaRDI portal
Publication:618578
DOI10.1007/s10915-008-9259-8zbMath1203.76138OpenAlexW2010886796MaRDI QIDQ618578
Sashikumaar Ganesan, Tobiska, Lutz
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-008-9259-8
finite elementsincompressible flowsboundary layersconvection-diffusion equationslocal projection stabilization
Diffusion (76R50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10)
Related Items
A LOCAL PROJECTION STABILIZATION FOR CONVECTION–DIFFUSION–REACTION EQUATIONS USING BIORTHOGONAL SYSTEMS, Virtual element method for nonlinear time-dependent convection-diffusion-reaction equation, A Second Order Local Projection Lagrange-Galerkin Method for Navier-Stokes Equations at High Reynolds Numbers, An effective approach for numerical solutions of high-order Fredholm integro-differential equations, Galerkin finite element method for cancer invasion mathematical model, Local projection stabilization with discontinuous Galerkin method in time applied to convection dominated problems in time-dependent domains, Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures, New error estimates of Lagrange-Galerkin methods for the advection equation, Local projection stabilized finite element methods for advection-reaction problems, Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants, A nodal integration based two level local projection meshfree stabilization method for convection diffusion problems, Local projection stabilization virtual element method for the convection-diffusion equation with nonlinear reaction term, Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion, On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations, ALE-SUPG finite element method for convection-diffusion problems in time-dependent domains: conservative form, ALE-FEM for Two-Phase and Free Surface Flows with Surfactants, An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems, SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations, Local projection stabilization for convection-diffusion-reaction equations on surfaces, A local projection stabilization virtual element method for convection-diffusion-reaction equation, A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers, On finite element method-flux corrected transport stabilization for advection-diffusion problems in a partial differential-algebraic framework, A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems, Local projection stabilization for advection-diffusion-reaction problems: one-level vs. two-level approach, Error estimates for a nonlinear local projection stabilization of transient convection-diffusion-reaction equations, A Local Projection Stabilized Lagrange-Galerkin Method for Convection-Diffusion Equations, Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems, Projection-based reduced order models for flow problems: a variational multiscale approach, Generalized local projection stabilized nonconforming finite element methods for Darcy equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection-diffusion equations
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems
- Recovering SUPG using Petrov-Galerkin formulations enriched with adjoint residual-free bubbles
- A finite element pressure gradient stabilization for the Stokes equations based on local projections
- Theory and practice of finite elements.
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- Stabilized finite element methods for the generalized Oseen problem
- Local projection stabilization of equal order interpolation applied to the Stokes problem
- An upwind finite element scheme for high-Reynolds-number flows
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- Continuous Interior Penalty Finite Element Method for Oseen's Equations
- A unified convergence analysis for local projection stabilisations applied to the Oseen problem
- Finite Element Methods for Navier-Stokes Equations
- A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
- Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier–Stokes Equations
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method