A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations
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Publication:804382
DOI10.1016/0045-7825(90)90164-HzbMath0727.73072OpenAlexW1991581857MaRDI QIDQ804382
T. A. Westermann, Waldemar Rachowicz, Leszek F. Demkowicz, J. Tinsley Oden
Publication date: 1990
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(90)90164-h
Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
- Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
- Compressible fluid flow and systems of conservation laws in several space variables
- A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- Adaptive finite elements for flow problems with moving boundaries. I. Variational principles and a posteriori estimates
- An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables
- On the symmetric form of systems of conservation laws with entropy
- An \(h\)-\(p\) Taylor-Galerkin finite element method for compressible Euler equations
- A posteriori error estimates for the Stokes equations: A comparison
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- A‐posteriori error estimates for the finite element method
