Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche (Q6557799)

scientific article; zbMATH DE number 7867428

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English	Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche	scientific article; zbMATH DE number 7867428

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title

Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

18 June 2024

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zbMATH Keywords

Stokes

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slip boundary conditions

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Nitsche

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stabilized mixed finite element

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MaRDI profile type

Publication

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cites work

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Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact

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A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces

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Weak imposition of ''no-slip'' conditions in finite element methods

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Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition

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Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition. II

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Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition

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Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations -- numerical tests and aspects of the implementation

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Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition

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The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary

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Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems

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A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity

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A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions

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A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

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On some techniques for approximating boundary conditions in the finite element method

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Nitsche’s method for Navier–Stokes equations with slip boundary conditions

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No-slip and free-slip divergence-free wavelets for the simulation of incompressible viscous flows

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Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions

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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)

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Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell's equations

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An unbiased Nitsche's approximation of the frictional contact between two elastic structures

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CMA.2024.117037

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Sitelinks

Mathematics(1 entry)

mardi Publication:6557799