Numerical implementation of an iterative method with boundary condition splitting for solving the nonstationary Stokes problem on the basis of an asymptotically stable two-stage difference scheme

DOI10.1134/S0965542514120124zbMath1329.76243MaRDI QIDQ889208

M. B. Solov'ev

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotically stable two-stage difference schemeiterative methods with splitting of boundary conditionsnonstationary Stokes problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

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• On an iterative method with boundary condition splitting as applied to the Dirichlet initial-boundary value problem for the Stokes system
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• On some methods for enhancing the convergence speed for the higher harmonics of bilinear finite element implementations of iterative methods with boundary-condition splitting for a Stokes-type system
• On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system
• Algorithms based on bilinear finite elements for iterative methods with split boundary conditions for a Stokes-type system in a strip under the periodicity condition.
• On numerical implementations of a new iterative method with boundary condition splitting for solving the nonstationary stokes problem in a strip with periodicity condition
• Numerical implementations of an iterative method with boundary condition splitting as applied to the nonstationary stokes problem in the gap between coaxial cylinders
• Finite Element Methods for Navier-Stokes Equations
• Multigrid Methods for Variational Problems
• ITERATIVE METHODS FOR ELLIPTIC DIFFERENCE EQUATIONS
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