Analysis of the Finite Element Variational Crimes in the Numerical Approximation of Transonic Flow
From MaRDI portal
Publication:4274381
DOI10.2307/2153238zbMath0786.76051OpenAlexW4247687179MaRDI QIDQ4274381
Miloslav Feistauer, Harald Berger
Publication date: 9 May 1994
Full work available at URL: https://doi.org/10.2307/2153238
convergencequadrature rulespotential equationpiecewise linear finite elemententropy compactification
Transonic flows (76H05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Finite element approximation of a nonlinear heat conduction problem in anisotropic media, Analysis of a FEM/BEM coupling method for transonic flow computations, Young measure solutions of some nonlinear mixed-type equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of the viscosity method for isentropic gas dynamics
- On the solvability of transonic potential flow problems
- Compactness method in the finite element theory of nonlinear elliptic problems
- On the finite element approximation of a cascade flow problem
- Remarks on the solvability of transonic flow problems
- Lectures on numerical methods for non-linear variational problems
- The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
- A convergent finite element formulation for transonic flow
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- Finite elements for transonic potential flows
- Finite element approximation of nonlinear elliptic problems with discontinuous coefficients
- Convergence of Finite Elements for Transonic Potential Flows
- Viscosity method in a transonic flow
- Discrete forms of Friedrichs' inequalities in the finite element method
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- On a weak solution for a transonic flow problem
- Curved Elements in the Finite Element Method. I
- Calculation of plane steady transonic flows