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Optimally accurate Petrov-Galerkin method of finite elements

  • M. Stojanović
Article
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Abstract

We perform analysis for a finite elements method applied to the singular self-adjoint problem. This method uses continuous piecewise polynomial spaces for the trial and the test spaces. We fit the trial polynomial space by piecewise exponentials and we apply so exponentially fitted Galerkin method to singular self-adjoint problem by approximating driving terms by Lagrange piecewise polynomials, linear, quadratic and cubic. We measure the erroe in max norm. We show that method is optimal of the first order in the error estimate. We also give numerical results for the Galerkin approximation.

Keywords

Difference Scheme Truncation Error Galerkin Approximation Polynomial Space Singular Perturbation Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 1996

Authors and Affiliations

  • M. Stojanović
    • 1
  1. 1.Institute of MathematicsUniversity of Novi SadNovi SadYugoslavia

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