Abstract: 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.
Yuri K. Dem’yanovich, Irina G. Burova, "A Posteriori Improvement in Projection Method," WSEAS Transactions on Mathematics, vol. 22, pp. 544-552, 2023, DOI:10.37394/23206.2023.22.60
Yuri K. Dem’yanovich, Irina G. Burova. A Posteriori Improvement in Projection Method.
WSEAS Transactions on Mathematics. 2023;22:544-552. 10.37394/23206.2023.22.60