On orthogonal second order finite functions associated with triangular meshes and their application in mathematical modeling

Abstract


Second order orthogonal finite functions are studied, their compact supports are local sets of grid triangles. The theorem on approximating the properties of sequences of sets of such functions is formulated. The applications in algorithms of mixed numerical methods of boundary value problems solution, in algorithms of linear approximation ofsurfaces are considered.

About the authors

Victor L Leontiev

Ulyanovsk State University

Email: leontievvl@ulsu.ru
(д.ф.-м.н., профессор), профессор, каф. информационной безопасности и теории управления; Ульяновский государственный университет; Ulyanovsk State University

Alexander V Kochulimov

Ulyanovsk State University

Email: leontievvl@ulsu.ru
аспирант, каф. информационной безопасности и теории управления; Ульяновский государственный университет; Ulyanovsk State University

References

  1. Марчук Г. И., Агошков В. B. Введение в проекционно-сеточные методы. М.: Наука, 1981. 416 с.

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