Sentence examples for combined approximation from inspiring English sources
Based on a suitable partition of the modified stiffness matrix and the combined approximation, a reanalysis technique is developed.
This combined approximation method is mainly used for engineering problems with regions of high stress concentration or in unbounded domains, where singularities are present.
Compared with previous approaches using first-order or second-order descriptors, the novel approach integrates PCA and Combined Approximation (CA) in mechanics, provides more precise presentation of the microstructure and accelerates the optimization and reconstruction of the result microstructure.
Moreover, the performances of the proposed sensitivity reanalysis methods are investigated to compare with Combined Approximation (CA) methods.
The good property was achieved using the advanced numerical techniques: model reduction, homogenization theory, metamodeling, and the combined approximations.
Efficient evaluation of the derivatives, using finite difference and the recently developed combined approximations approach, is presented.
Combining approximation (11) with (6) and (7), one may get an approximation formula for (phi(t_{m+1})) as follows.
We combine approximation theory and domain decomposition together with statistical learning techniques, e.g. coKriging, to estimate boundary conditions and minimize communications by performing independent parallel runs.
By using the nonlinear alternative of Leray-Schauder type for multivalued maps due to O'Regan and properties of the α-resolvent operator combined with approximation techniques, we derive a new set of sufficient conditions for the approximate controllability of fractional impulsive evolution system under the assumption that the corresponding linear system is approximately controllable.
Sufficient conditions for the existence are given by means of the nonlinear alternative of Leray-Schauder type for multivalued maps due to O'Regan [40] with the α-resolvent operator combined with approximation techniques.
The main tools used in this paper are stochastic analysis, analytic resolvent operators, fractional powers of closed operators and the nonlinear alternative of Leray-Schauder type for multivalued maps due to O'Regan combined with approximation techniques.
