scientific article; zbMATH DE number 7479345

zbMath1499.65549MaRDI QIDQ5035904

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Publication date: 22 February 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/504.html

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zbMATH Keywords

stabilityerror estimatestabilized methodcharacteristic schemeviscoelastic Oldroyd fluid motion problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Viscoelastic fluids (76A10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule ⋮ Two-grid finite element Galerkin approximation of equations of motion arising in Oldroyd fluids of order one with non-smooth initial data ⋮ Unnamed Item ⋮ Stability and convergence of second order time discrete projection method for the linearized Oldroyd model ⋮ Stability and convergence of the higher projection method for the time-dependent viscoelastic flow problem ⋮ The fully discrete fractional-step method for the Oldroyd model ⋮ Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model ⋮ Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique

Cites Work

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• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
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• Some steady flows of the general elastico-viscous liquid
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