Physics-conforming constraints-oriented numerical method

Numerical method for solving optimal control problem of the linear differential systems with inequality constraints

In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...

A Relaxation Method for Surface-Conforming Prisms

This paper presents a method for computing thin layers of high-quality, triangular prisms that conform to surfaces that are specified as level sets of an implicit function. Triangular prisms are important in circumstances where volumetric meshes need to capture the geometries materials with thin layers–i.e. that are smooth relative to their thickness–or where, as in fluid mechanics simulations,...

Numerical Constraints for XML

We introduce numerical constraints into the context of XML which restrict the number of nodes within subtrees of an XML tree that contain specific value-equal subnodes. We demonstrate the applicability of numerical constraints by optimising XML queries and predicting the number of XML query answers, updates and encryptions. In order to effectively unlock the wide range of XML applications decis...

Oriented Matching Constraints

Well-known matching constraints for points and lines in muliple images are necessary but not sufficient condition for the existence of real structure and cameras, underlying the image correspondences. To obtain sufficient conditions, the following additional constraints must be imposed: positive scales, the existence of a plane at infinity not intersecting the scene, and the existence of handed...

Defects and Particle Physics Constraints