We propose a robust interpolation for multigrid based on the concepts of energy minimization and approximation. The formulation is general; it can be applied to any dimensions. The analysis for one dimension proves that the convergence rate of the resulting multigrid method is independent of the coeecient of the underlying PDE, in addition to being independent of the mesh size. We demonstrate n...

Powell-Sabin splines are C-continuous quadratic splines defined on an arbitrary triangulation. Their construction is based on a particular split of each triangle in the triangulation into six smaller triangles. In this article we give an overview of the properties of Powell-Sabin splines in the context of computer aided geometric design. These splines can be represented in a compact normalized ...

An algorithm for general nonlinearly constrained optimization is presented, which solves an unconstrained piecewise quadratic subprob-lem and a quadratic programming subproblem at each iterate. The algorithm is robust since it can circumvent the diiculties associated with the possible inconsistency of QP subproblem of the original SQP method. Moreover, the algorithm can converge to a point whic...

water and energy are key commodities utilized in the process industries.water minimization and energy minimization have been studied separately. in this paper, a new systematic design methodology has been developed for the simultaneous management of energy and water systems that also feature maximum re-use of water. in addition to allowing re-use of water, issues about heat losses inside unit o...

Doppler peaks extraction from massive raw data is a tricky part of coherent wind Lidar (CDWL) optimization. In this paper, hybrid genetic/Powell algorithm (HGAP) proposed to process the power spectrum measured signal CDWL. The HGAP has excellent global exploration capability, which likes traditional genetic algorithms and fast convergence, like Powell method. Hence, advantages find center frequ...

3. K. Ichihara. E. Kusunose and M. Kusunose, Biochim. 7. J. L. Maggs. A. H. Olavesen and C. T. James. J. biophps. Acta 176. 704 (1969). labelled Compds Radiopharmaceuticals 17. 793 (1980). 4. K. K. Stanley and P. K. Tubbs. Biochem. J. 150, 77 8. C. G. Curtis. G. M. Powell and S. L. Stone, J. Physiol., (1975). Land. 213, 14P (1970). 5. W. H. B. Denner. A. H. Olavesen. G. M. Powell and 9. B. Burk...

962142. 43 In this more recent work, McGinnis and Rappaport cite Powell to instruct us on the interpretive conventions of the founding generation. Id. at 8 (citing Powell, supra note 39). And Powell at least provides McGinnis and Rappaport some useful support when he announces: "Although the Philadelphia framers did not discuss in detail how they intended their end product to be interpreted, th...

In this paper the optimal control of boundary heat flux in a 2-D solid body with an arbitrary shape is performed in order to achieve the desired temperature distribution at a given time interval. The boundary of the body is subdivided into a number of components. On each component a time-dependent heat flux is applied which is independent of the others. Since the thermophysical properties are t...