An \(h\)-adaptive SUPG-FEM solution of the pure advection equation

DOI10.1016/S0168-9274(97)00087-1zbMath0895.65044OpenAlexW2078646521MaRDI QIDQ1379038

Asif S. Usmani

Publication date: 27 September 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00087-1

zbMATH Keywords

wave equationfinite element methoderror estimation\(h\)-versionpure advection equationstreamline upwind Petrov Galerkin method

Mathematics Subject Classification ID

Wave equation (35L05) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

An h-adaptive solution of the spherical blast wave problem

Cites Work

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• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A variational method for finite element stress recovery and error estimation
• A Taylor-Galerkin method for convective transport problems
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Superconvergence and Reduced Integration in the Finite Element Method
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• Local and global smoothing of discontinuous finite element functions using a least squares method
• Error estimates and convergence rates for various incompressible elements

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