An a posteriori error estimate and adaptive refinement procedure for viscoelastic fluid flows: The modified upper-convected Maxwell model
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Publication:1331389
DOI10.1007/BF00374237zbMath0805.76032OpenAlexW1996811080MaRDI QIDQ1331389
Publication date: 21 August 1994
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00374237
Error bounds for boundary value problems involving PDEs (65N15) Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Unnamed Item
- Adaptive refinement of a viscoelastic flow problem with the explicitly elliptic momentum equation
- Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
- A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations
- A posteriori error estimation of finite element approximations in fluid mechanics
- Adaptive finite elements for flow problems with moving boundaries. I. Variational principles and a posteriori estimates
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- A new mixed finite element for calculating viscoelastic flow
- Numerically stable finite element techniques for viscoelastic calculations in smooth and singular geometries
- Impact of the constitutive equation and singularity on the calculation of stick-slip flow: The modified upper-convected Maxwell model (MUCM)
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A study of some numerical viscoelastic schemes
- Adaptive finite element methods for diffusion and convection problems
- On the quality of viscoelastic flow solutions: An adaptive refinement study of a Newtonian and a maxwell fluid
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Adaptive refinement of one-dimensional viscoelastic problem
- A‐posteriori error estimates for the finite element method
- Error Estimates for Adaptive Finite Element Computations