Anisotropic Error Estimates and Space Adaptivity for a Semidiscrete Finite Element Approximation of the Transient Transport Equation

DOI10.1137/120891320zbMath1277.65076OpenAlexW2056244860MaRDI QIDQ5300136

Publication date: 26 June 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120891320

zbMATH Keywords

algorithm numerical results finite elements transport equation semidiscretization anisotropic a posteriori error estimates

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

Anisotropic adaptive finite elements for an elliptic problem with strongly varying diffusion coefficient ⋮ Time-accurate anisotropic mesh adaptation for three-dimensional time-dependent problems with body-fitted moving geometries ⋮ An adaptive algorithm for the time dependent transport equation with anisotropic finite elements and the Crank-Nicolson scheme ⋮ An anisotropic adaptive finite element algorithm for transonic viscous flows around a wing ⋮ Uniform stability of the SUPG method for the evolutionary convection-diffusion-reaction equation

Uses Software

BL2D-V2

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