Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows

DOI10.4208/aamm.OA-2018-0169zbMath1488.76089OpenAlexW3114553467MaRDI QIDQ5157044

Zhiyong Si, Yanfang Lei, Yang Yang

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2018-0169

zbMATH Keywords

unconditional stabilityoptimal error estimatesmodified characteristics finite element methodtime-dependent viscoelastic Oldroyd flows

Mathematics Subject Classification ID

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) Finite element methods applied to problems in fluid mechanics (76M10) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (7)

A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids ⋮ Finite element penalty method for the Oldroyd model of order one with non-smooth initial data ⋮ A modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations ⋮ Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions ⋮ On a three step two‐grid finite element method for the Oldroyd model of order one ⋮ Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry ⋮ Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model

Uses Software

• FreeFem++

Cites Work

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