Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data

DOI10.1093/IMANUM/DRAB072zbMath1502.65114arXiv2106.16052OpenAlexW3206593650MaRDI QIDQ5042900

Bikram Bir, Deepjyoti Goswami, Amiya K. Pani

Publication date: 26 October 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.16052

zbMATH Keywords

backward Euler methodnonsmooth initial dataOldroyd fluid of order oneoptimal and uniform error estimatesuniform in time bound

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

Finite element penalty method for the Oldroyd model of order one with non-smooth initial data ⋮ Two-grid finite element Galerkin approximation of equations of motion arising in Oldroyd fluids of order one with non-smooth initial data ⋮ Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one

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