TY - JOUR

T1 - A Posteriori Improvement in Projection Method

AU - Демьянович, Юрий Казимирович

AU - Бурова, Ирина Герасимовна

PY - 2023/7/24

Y1 - 2023/7/24

N2 - This work is devoted to the refinement 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 refinement 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.

AB - This work is devoted to the refinement 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 refinement 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.

KW - a posteriori improvement

KW - refinement calculations

KW - variational-grid methods

UR - https://www.mendeley.com/catalogue/53af84e7-411a-3e9b-af7d-09ffc85140fd/

U2 - 10.37394/23206.2023.22.60

DO - 10.37394/23206.2023.22.60

M3 - Article

VL - 22

SP - 544

EP - 552

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -