2017
Том 69
№ 7

All Issues

Estimation of the Accuracy of Finite-Element Petrov–Galerkin Method in Integrating the One-Dimensional Stationary Convection-Diffusion-Reaction Equation

Sirik S. V.


Abstract

The accuracy and convergence of the numerical solutions of a stationary one-dimensional linear convection-diffusion-reaction equation (with Dirichlet boundary conditions) by the Petrov–Galerkin finiteelement method with piecewise-linear basis functions and piecewise-quadratic weighting functions are analyzed and the accuracy estimates of the method are obtained in certain norms depending on the choice of the collection of stabilization parameters of weight functions.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 7, pp 1062-1090.

Citation Example: Sirik S. V. Estimation of the Accuracy of Finite-Element Petrov–Galerkin Method in Integrating the One-Dimensional Stationary Convection-Diffusion-Reaction Equation // Ukr. Mat. Zh. - 2015. - 67, № 7. - pp. 937-961.