Experimental programs and modules, 1991-1994
Between 1991 and 1994 it is experienced with the programs of the system like separated modules; the methods of optimization are improved in your functionality, consequence of that work is the Doctoral thesis of Longina Castellanos (Castellanos1994). During this period the properties on very irregular regions are studied, are compared in run time the obtained result so much for PC as Workstation and SuperComputer Cray of the time.
Contributions
In these experimental systems the Area-Ortogonalidad functional of Knupp 1992 is introduced. A stabilization to the discreet Smoothness functional is implemented (Barrera1994), managing in this way to generate smooth and convex grid in some irregular regions but with the restriction to initiate the process of optimization with grid with few nonconvex cells, which is very complicated for very irregular regions.
Technical details and platform of programming
The programs continue writings in programming language FORTRAN 77 but now it is experienced with the Lahey compiler that allows to work in transparent from with PC and WorkStation, except of course, in the special features of the system of each platform. A students of Pablo Barrera designs a generic graphic library this compiler to be user easily in the courses of Numerical Analysis that given in the Faculty of Sciences. Guilmer González in 1993 is united to the work group and introduced this graphical library to the experimental program of grid, which allowed to observe the evolution of the process of generation of grid on the graphical screen; we did not analyze more numbers when coming out, now we observed its behavior during the process.
UNAMALLA 1.0
In 1994 by means of project DGAPA, a professional version of the system written in programming language C the Microsoft 6.0c facilitating to the user the interaction with the system by means of menu options. This it would be UNAMALLA System v.1.0
Presentation of UNAMALLA System v.1.0
Contributions
In this version diverse functions are implemented that facilitate the use of the system, among other things, include the combinations of functional which presents the best results in the realizes tests, as well as a combination scaled between length and area that provides reasonable results in diverse regions. A module for the edition and graphic creation of contours is included, in addition it is possible to observe the optimization process and to stop it manually. The initial grid is generate by algebraic method TFI.
Technical details and platform of programming
In this version it is only counted on the method of optimization of Memory Limited Of Nocedal, being the main interest to obtain reasonable configurations by means of the optimization of discreet functional, changes the structure used for the internal storage of grid, saving run time. We propose a new format of exchange of information in disc. Nevertheless, this system presented serious difficulties of operation: the design of the system made difficult the exchange of information between its modules, which did not allow to make new experiments with functional, Nor to the optimization algorithms that studied in those years. On the other hand, the interaction of the system with information archives was through work projects, in which they stored the contour, initial grid and optimized grid.
Experimental systems, 1994-1995
It was returned to work with the programmed experimental systems in FORTRAN 77. For this, we used the compiler of Microsoft 5.1 which facilitates the use of the graphical libraries of C Microsoft 6.0c. It is experienced with version of Newton Truncated with Region of Confidence and Search in the Line. In parallel form, it is continued with the programs developed for Lahey and dynamic memory is used to generate grid of great dimension.
An experimental system for the generation of grid uses classic discreet functional, written in Lahey Fortran.
Like part of its work of undergraduate, Adriana Rivera constructs a modules that allows to smooth out conical contours by means of splines. This tool facilitates the obtaining of grid smooth and convex when eliminating the obstacle of corner mainly in the concave segments in the boundary, thus being able to generate grid smooth and convex on some functional region using of Area-Ortogonalidad and Smoothness Regularized
An system for the generation of initial grid, with smooth NURBS.
An experimental system for Windows.
TRIANG
The idea of professor Pablo Barrera to consider grid as a set of triangles lead to him to interesnting results on convex grid. This restlessness makes him propose to Sergio Aguirre in 1995 work of Masters thesis the study of optimal configurations of triangulations on regions in the plane. They worked with the triangulations of Delaunay and compared functional results with the discreet of Barrera-Pérez and of Smoothness formulated both on triangles. They constructed a system TRIANG to observe the behavior of the functional. This work was part of the project Optimal Triangulations sponsored by the DGAPA in 1995.
System of optimal triangulations.
Contributions
When comparing the results with triangulations of Delaunay the following result was obtained: an optimal one of the Smoothness functional is a triangulation of Delaunay. Of equal way, the method of generation of triangulations of Nelson was implanted to experiment and thus to compare results. In addition I implement a form to introduce inner points and in the boundary to be able to construct a distribution of points manually. Grid obtained by the discreet methods are used in the resolution of some elliptical equations and the results with PDETOOLS Toolbox of MATLAB with a developed module are compared to transform the elliptical equations studied solving them into the logical space.
Technical details and platform of programming
They system was written in language programming C ANSI doing use of the graphical libraries of Microsoft 6.0c. A simple format for the interchange of archives was considered.
