The penalty method for the equations of viscoelastic media

DOI10.1007/BF02364990zbMath0899.76050MaRDI QIDQ1375236

A. P. Oskolkov

Publication date: 11 May 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Related Items (7)

Smooth global solutions of initial boundary-value problems for the equations of Oldroyd fluids and of their \(\varepsilon\)-approximations ⋮ On error estimates of the penalty method for the viscoelastic flow problem. I: Time discretization ⋮ A finite element penalty method for the linearized viscoelastic Oldroyd fluid motion equations ⋮ A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows ⋮ Stability and convergence of the higher projection method for the time-dependent viscoelastic flow problem ⋮ Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows ⋮ An incremental pressure correction finite element method for the time-dependent Oldroyd flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of some mixed finite element methods for Stokesian flows
• Fluid dynamics of viscoelastic liquids
• Attractors for the Penalized Navier–Stokes Equations
• Finite element methods for constrained problems in elasticity
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Variational methods for the solution of problems of equilibrium and vibrations

This page was built for publication: The penalty method for the equations of viscoelastic media