Efficient methods for solving the Stokes problem with slip boundary conditions

DOI10.1016/j.matcom.2016.05.012zbMath1482.76079OpenAlexW2186279559WikidataQ109654943 ScholiaQ109654943MaRDI QIDQ1997000

Václav Šátek, Marta Jarošová, Radek Kučera, Jaroslav Haslinger

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.05.012

zbMATH Keywords

interior-point methodStokes problemslip boundary conditionactive-set algorithm

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) 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)

Related Items (3)

Stokes equations under Tresca friction boundary condition: a truncated approach ⋮ Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D ⋮ Stokes system with local Coulomb's slip boundary conditions: analysis of discretized models and implementation

Uses Software

• DistMesh

Cites Work

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• Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems
• Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination
• An interior-point algorithm for the minimization arising from 3D contact problems with friction
• Error estimates for Stokes problem with Tresca friction conditions
• Convergence Rate of an Optimization Algorithm for Minimizing Quadratic Functions with Separable Convex Constraints
• Adaptive Barrier Update Strategies for Nonlinear Interior Methods
• A Simple Mesh Generator in MATLAB

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