Accuracy and Stability of the Petrov–Galerkin Method for Solving the Stationary Convection-Diffusion Equation
The accuracy and stability of numerical solution of the stationary convection-diffusion equation by the finite element Petrov–Galerkin method are analyzed with the use of weight functions with different stabilization parameters as test functions, and estimates are obtained for the accuracy of the method depending on the choice of a collection of stabilization parameters. The convergence of the method is shown.
Keywordsfinite element method Petrov–Galerkin method convection–diffusion equation logarithmic norm
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