Numerical analysis for backward Euler spectral discretization for Stokes equations with boundary conditions involving the pressure. I

DOI10.1007/s10092-023-00520-wzbMath1514.65140OpenAlexW4292654142MaRDI QIDQ6046236

Yasmina Daikh, Driss Yakoubi, O. Boussoufa

Publication date: 16 May 2023

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-023-00520-w

zbMATH Keywords

Stokes equationspressure boundary conditionsspectral discretizationdivergence-free approximations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Spectral discretizations of the Stokes equations with non-standard boundary conditions
• On the Navier-Stokes system with pressure boundary condition
• Time-dependent Stokes and Navier-Stokes problems with boundary conditions involving pressure, existence and regularity.
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• Variational discretization of elliptic boundary value problems.
• Boundary conditions involving pressure for the Stokes problem and applications in computational hemodynamics
• Mathematical and numerical foundations of turbulence models and applications
• Finite Element Methods for Incompressible Flow Problems
• Spectral Approximations of the Stokes Equations with Boundary Conditions on the Pressure
• Polynomial Approximation of Divergence-Free Functions
• Stability of Finite Elements under Divergence Constraints
• Finite Element Methods for Navier-Stokes Equations
• Vector potentials in three-dimensional non-smooth domains
• Non-standard Stokes and Navier-Stokes problems: existence and regularity in stationary case
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
• Finite Element Discretization of the Stokes and Navier--Stokes Equations with Boundary Conditions on the Pressure
• On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
• Spectral Methods
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