Convergence to steady-state solutions for stabilized finite element simulations of compressible flows
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Publication:1586253
DOI10.1016/S0898-1221(00)00184-XzbMath0983.76049MaRDI QIDQ1586253
Publication date: 13 November 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
GMRESNewton methodcompressible Euler equationsexplicit scheme\(h\)-adaptivitystabilized FEMapproximate Jacobianparticular implementationpseudo-time integration
Gas dynamics (general theory) (76N15) 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)
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Cites Work
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- Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
- 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
- A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- An \(h\)-\(p\) Taylor-Galerkin finite element method for compressible Euler equations
- Adaptive streamline diffusion methods for compressible flow using conservation variables
- A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids
- Explicit streamline diffusion finite element methods for the compressible Euler equations in conservation variables
- An anisotropic \(h\)-adaptive finite element method for compressible Navier-Stokes equations
- High-order Taylor-Galerkin methods for linear hyperbolic systems
- Entropy controlled adaptive finite element simulations for compressible gas flow
- SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
- Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
- Multidimensional upwinding: Its relation to finite elements
