Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows

DOI10.1137/140975796zbMath1323.35127OpenAlexW4299828302MaRDI QIDQ5254792

David M. Trujillo, Daniela Capatina, Roland Becker, Robert Luce

Publication date: 10 June 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140975796

zbMATH Keywords

finite element methodincompressible flowsNitsche's methodstreamline upwind Petrov-Galerkin stabilizationdomain composition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Incompressible inviscid fluids (76B99) Euler equations (35Q31)

Related Items (3)

Finite element formulation of general boundary conditions for incompressible flows ⋮ Drag computation for incompressible flows with a Nitsche's type stabilization method ⋮ Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows

Cites Work

• Unnamed Item
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• Stabilized methods for compressible flows
• Equal-order finite elements with local projection stabilization for the Darcy-brinkman equations
• Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
• Weak imposition of Dirichlet boundary conditions in fluid mechanics
• A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• Stabilized finite element methods. II: The incompressible Navier-Stokes equations
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Continuous Interior Penalty Finite Element Method for Oseen's Equations
• Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
• Higher-order finite element discretizations in a benchmark problem for incompressible flows
• A finite element method for domain decomposition with non-matching grids
• Mesh adaptation for Dirichlet flow control via Nitsche's method
• A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
• Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows

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