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Book chapter

Применения топологии в одной численной схеме решения задач механики сплошных сред

С. 164-168.
Яковлев Е. И., Чекмарев Д. Т., Епифанов В. Ю.

Finite element numerical schemes for solving the continuum mechanics problems are discussed. One of the authors developed a method of acceleration of calculations which uses the simplicial mesh inscribed in the original cubic cell partitioning of a three-dimensional body. In this work it is shown that the obstacle to the construction of this design may be described in terms of modulo 2 homology groups. The method of removing the obstacle is proposed.