DOI: 10.37394/23206.2023.22.60 ISSN: 2224-2880

A Posteriori Improvement in Projection Method

Yuri K. Dem’yanovich, Irina G. Burova
  • General Mathematics

This work is devoted to the renement of the approximate solution, obtained by the projection method. The proposed approach uses expanding the design space by adding new coordinate functions. As a result, it is possible to clarify previously obtained solution using small computer resources. Applying this approach to the finite element method allows produce a local renement of the mentioned solution. Suggested Approach illustrated in the finite element method for a boundary value problem second order in one-dimensional and two-dimensional cases.

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