Sentence examples for construction of the projection from inspiring English sources

For badly shaped elements the construction of the projection matrices required for assembling the local coefficients of the linear system within the VEM discretization of Partial Differential Equations can result very ill conditioned.

In this work, we present an adaptive pMOR technique where the construction of the projection basis is embedded in the optimization process and requires fewer full system analyses, while the accuracy of the reduced system is monitored by a cheap error indicator.

We provide, following Kramer & Haase (1989 ▶), a method for the construction of the projection into three dimensions using tools from the representation theory of finite groups.

construct some bounded solutions of perturbed system (3.1) (Lemmas 3.1, 3.2); semigroup properties of the bounded solutions of system (3.1) (Lemma 3.3); construction of the projections P ˆ λ in (3.2) (Lemmas 3.4, 3.5 and (3.15)); norm bounds for the evolution operator T ˆ λ (Lemmas 3.6, 3.7, 3.8); P ˆ λ and Q ˆ λ are Lipschitz continuous for the parameter λ (Lemma 3.9).

The main novelty is the construction of the parameter-dependent projection matrix.

The surface incompressibility constraint is satisfied by the construction of a projection operator.

This motivates the construction of a projection-based metric that only assumes the shape of the solution and not the growth rate of the perturbations, thus also allowing the latter to be determined.

In the complex, electronically controlled "spatio-dynamic" and "lumino-dynamic" constructions of Nicolas Schöffer, the projection of changing patterns of light into space is a major feature.

He also offers innovative projections on the construction of the pyramids and the restoration of some of Cairo's most monumental structures from the brink of ruin.

We use the projection error as error measure, hence precompute the 81 trajectories for construction of the reduced basis.

Construction of the tower continues.