The fictitious domain method with \(H^1\)-penalty for the Stokes problem with Dirichlet boundary condition
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Publication:1675491
DOI10.1016/j.apnum.2017.08.005zbMath1433.76044OpenAlexW2751661552MaRDI QIDQ1675491
Publication date: 27 October 2017
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2017.08.005
Error bounds for boundary value problems involving PDEs (65N15) 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)
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- Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
- A stabilized Nitsche fictitious domain method for the Stokes problem
- The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: the error estimate of penalty and the finite element approximation
- Numerical simulation of spilled oil by fictitious domain method
- Automated solution of differential equations by the finite element method. The FEniCS book
- An analysis of a mixed finite element method for the Navier-Stokes equations
- A penalization method to take into account obstacles in incompressible viscous flows
- On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
- A general fictitious domain method with immersed jumps and multilevel nested structured meshes
- Numerical simulation of blood flow in the thoracic aorta using a centerline-fitted finite difference approach
- Analysis of the fictitious domain method with penalty for elliptic problems
- A fictitious domain approach with spread interface for elliptic problems with general boundary conditions
- A domain embedding method for mixed boundary value problems
- Méthodes d'approximation des solutions de certains problèmes aux limites linéaires
- A unified fictitious domain model for general embedded boundary conditions
- Penalty method for the stationary Navier-Stokes problems under the slip boundary condition
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Numerical Analysis of a Finite Element/Volume Penalty Method
- Analysis of Finite Element Domain Embedding Methods for Curved Domains using Uniform Grids
- A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori
- New development in freefem++
- Analysis of the Fictitious Domain Method with anL2-Penalty for Elliptic Problems
- Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
- A distributed Lagrange multiplier/fictitious domain method for particulate flows
- A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
- Uniform solvability of finite element solutions in approximate domains
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