Local projection stabilization for linearized Brinkman–Forchheimer–Darcy equation

DOI10.1063/1.5000664zbMath1486.76081OpenAlexW2755275014MaRDI QIDQ5062245

Piotr Skrzypacz

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000664

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Solvability of the Brinkman-Forchheimer-Darcy equation
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions
• Stabilized finite element methods for the generalized Oseen problem
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Approximation by quadrilateral finite elements
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
• Mapped finite elements on hexahedra. Necessary and sufficient conditions for optimal interpolation errors

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