On a second-order decoupled time-stepping scheme for solving a finite element problem for the approximation of Peterlin viscoelastic model
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Publication:6103645
DOI10.1016/j.camwa.2023.04.007OpenAlexW4366609964MaRDI QIDQ6103645
Yao-Lin Jiang, Weiwei Han, Zhen Miao
Publication date: 5 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.04.007
Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)
Cites Work
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- Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model
- On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow
- Error analysis of the second-order BDF finite element scheme for the thermally coupled incompressible magnetohydrodynamic system
- Unconditional optimal error estimates of linearized second-order BDF Galerkin FEMs for the Landau-Lifshitz equation
- Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
- Unconditional error estimates for time dependent viscoelastic fluid flow
- Weakly-imposed Dirichlet boundary conditions for non-Newtonian fluid flow
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
- Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation
- Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange–Galerkin method. Part II: A linear scheme
- New development in freefem++
- Global Existence Result for the Generalized Peterlin Viscoelastic Model
- Analysis of Stabilized Crank-Nicolson Time-Stepping Scheme for the Evolutionary Peterlin Viscoelastic Model
- The Mathematical Theory of Finite Element Methods