A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions (Q6624474)

scientific article; zbMATH DE number 7932070

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English	A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions	scientific article; zbMATH DE number 7932070

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instance of

scholarly article

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title

A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions (English)

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Advances in Computational Mathematics

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publication date

25 October 2024

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zbMATH Keywords

incompressible flow

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nonstandard boundary condition

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very weak velocity solution

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Galerkin/least-squares stabilization

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pressure-residual stabilization

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A three field stabilized finite element method for the Stokes equations

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Vorticity-velocity-pressure formulation for Stokes problem

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Stabilized finite element method for Navier--Stokes equations with physical boundary conditions

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Vector potentials in three-dimensional non-smooth domains

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Vector Potentials with Mixed Boundary Conditions. Application to the Stokes Problem with Pressure and Navier-type Boundary Conditions

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On the Stokes equations with the Navier-type boundary conditions

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L<sup>p</sup>-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS

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Instationary Stokes problem with pressure boundary condition in \(L^{p}\)-spaces

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Error-bounds for finite element method

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Numerical Treatment of the Navier--Stokes Equations with Slip Boundary Condition

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A finite element pressure gradient stabilization for the Stokes equations based on local projections

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A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains

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Spectral discretizations of the Stokes equations with non-standard boundary conditions

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Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure

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Mixed and Hybrid Finite Element Methods

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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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Q4380362

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Q4162607

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Q4320405

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Existence and uniqueness of very weak solutions to the steady-state Navier-Stokes problem in Lipschitz domains

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Penalty: finite element approximation of Stokes equations with slip boundary conditions

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An Absolutely Stabilized Finite Element Method for the Stokes Problem

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Staggered Taylor–Hood and Fortin elements for Stokes equations of pressure boundary conditions in Lipschitz domain

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Stabilized finite element methods. II: The incompressible Navier-Stokes equations

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Two classes of mixed finite element methods

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Grad-div stabilized discretizations on S-type meshes for the Oseen problem

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A note on regularity of the pressure in the Navier-Stokes system

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Incompressible Finite Element Methods for Navier-Stokes Equations with Nonstandard Boundary Conditions in R 3

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Finite Element Methods for Navier-Stokes Equations

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Pressure boundary conditions for blood flows

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Q4693060

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Algorithmic and theoretical results on computation of incompressible viscous flows by finite element methods

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ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

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Convergent numerical method for the Navier–Stokes–Fourier system: a stabilized scheme

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Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

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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

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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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On the least-squares method

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Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition

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Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions

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For the vorticity-velocity-pressure form of the Navier-Stokes equations on a bounded plane domain with corners

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Interior Jump and Regularity of Compressible Viscous Navier--Stokes Flows Through a Cut

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Q4529154

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Several non-standard problems for the stationary Stokes system

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Non-classical boundary value problems of elastostatics and hydrostatics on Lipschitz domains

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On the analyticity of the semigroup generated by the Stokes operator with Neumann-type boundary conditions on Lipschitz subdomains of Riemannian manifolds

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Regularity of the solutions of elliptic systems in polyhedral domains

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In-flow and out-flow problem for the Stokes system

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Q3993415

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Finite element methods (Part 1)

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Analysis of a coupled fluid-structure model with applications to hemodynamics

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Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions

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Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics

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Artificial boundaries and formulations for the incompressible Navier-Stokes equations: applications to air and blood flows

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Navier‐Stokes equations with imposed pressure and velocity fluxes

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Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries

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Equations of Motion for Incompressible Viscous Fluids

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Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes

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Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements

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Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements

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Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements

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Continuous Interior Penalty Finite Element Method for Oseen's Equations

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Approximation of singular solutions and singular data for Maxwell’s equations by Lagrange elements

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10444-024-10204-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:6624474