Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow
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Publication:977439
DOI10.1016/j.cam.2010.03.025zbMath1425.76025OpenAlexW2000477886MaRDI QIDQ977439
J. H. Carneiro de Araujo, P. D. Gomes, Vitoriano Ruas
Publication date: 22 June 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.03.025
finite elementsStokes systemexplicit solutionviscoelastic flowstime-dependentpiecewise linearthree-field methods
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Flow in wavy tube structure: asymptotic analysis and numerical simulation
- A fractional step \(\theta \)-method approximation of time-dependent viscoelastic fluid flow
- Explicit solution of the incompressible Navier-Stokes equations with linear finite elements
- A new mixed finite element for calculating viscoelastic flow
- A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
- An analysis of a mixed finite element method for the Navier-Stokes equations
- Numerical analysis of the modified EVSS method
- Galerkin-least-squares finite element methods for the three-field Stokes system in \(\mathbb R^3\)
- A new class of truly consistent splitting schemes for incompressible flows
- Numerical analysis of a FEM for a transient viscoelastic flow
- Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow
- A new algorithm for simulating viscoelastic flows accommodating piecewise linear finite elements
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Mixed and Hybrid Finite Element Methods
- Approximation of the three-field Stokes system via optimized quadrilateral finite elements
- CBS versus GLS stabilization of the incompressible Navier-Stokes equations and the role of the time step as stabilization parameter
- Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation
- Approximation of time‐dependent, viscoelastic fluid flow: Crank‐Nicolson, finite element approximation
- A new $\theta $-scheme algorithm and incompressible FEM for viscoelastic fluid flows
- Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations
- Une méthode d'approximation de la solution des équations de Navier-Stokes
- Equivalent Norms for Sobolev Spaces
- Finite element approximation of viscoelastic fluid flow using characteristics method
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