The finite element method with nodes moving along the characteristics for convection-diffusion equations
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Publication:749179
DOI10.1007/BF01385788zbMath0712.65109OpenAlexW2001238721MaRDI QIDQ749179
Publication date: 1991
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133557
error estimatesfinite element methodmoving nodesconvection-diffusion equationsoptimal rates of convergencecharacteristics
PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)
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Cites Work
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- Moving Finite Elements. I
- Moving Finite Elements. II
- A Moving Mesh Numerical Method for Hyperbolic Conservation Laws
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- Numerical solution of the Fokker Planck equation using moving finite elements
- Stability of the Lagrange-Galerkin method with non-exact integration
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- Mesh Modification for Evolution Equations
- On Galerkin Methods in Semilinear Parabolic Problems
- Moving Point, Particle, and Free-Lagrange Methods for Convection-Diffusion Equations
- Galerkin Methods for Parabolic Equations
