Some a Posteriori Error Bounds for Numerical Solutions of Plate in Bending Problems
Lobachevskii Journal of Mathematics(2018)
摘要
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.
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关键词
Dual plate bending problem, self equilibrated resultants, finite element method, method of forces for plate in bending, a posteriori error bounds
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