Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems

V. Korneev, V. Kostylev

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

2 Цитирования (Scopus)

Аннотация

For the efficient error control of numerical solutions of the solid mechanics problems, the two requirements are important: an a posteriori error bound has sufficient accuracy and computation of the bound is cheap in respect to the arithmetic work. The first requirement can be formulated in a more specific form of consistency of an a posteriori bound, assuming that it is not improvable in the order and, at least, coincides in the order with the a priori error estimate. Several new a posteriori error bounds are presented, which improve accuracy and reduce the computational cost. Also for the first time a new consistent guaranteed a posteriori error bound is suggested.

Язык оригиналаанглийский
Страницы (с-по)904-915
Число страниц12
ЖурналLobachevskii Journal of Mathematics
Том39
Номер выпуска7
DOI
СостояниеОпубликовано - 1 сен 2018

Предметные области Scopus

  • Математика (все)

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