UNAMALLA swMATH ID: 13144 Software Authors: Barrera-Sánchez, Pablo Description: UNAMALLA, An automatic package for numerical grid generation. Welcome to UNAMALLA website. Our main interest is the generation of structured smooth and convex grids over irregular regions. UNAMALLA is the result of the joint effort of four groups of professors from the Faculty of Sciences (UNAM), the Institute of Cybernetics and Physics of Cuba, the Faculty of Physical-Mathematical Sciences of the University of San Nicolás de Hidalgo Michoacán, and of the Autonomous University of Coahuila, each one devoted to the development of modules that carry out specific tasks. The grids generated by UNAMALLA have different geometric properties which can be combined according the problem where they will be used. In particular, we are interested in the numerical solution of partial differential equations on arbitrary -irregular- regions using mainly finite difference methods. The meshes are generated via a nonlinear large-scale optimization procedure, starting from an initial mesh which is often non convex, until a smooth and convex grid is obtained;using discrete functional defined on the mesh cells. The theoretical foundations of the grid generation processinvolves diverse subjects such as linear algebra, large scale optimization methods and computer geometry, among others, and promotes the interaction between researchers of different specialties, as well as gran and non grad students formation. Homepage: http://lya.fciencias.unam.mx/unamalla/home_i.html Related Software: Matlab; Mesquite; LSNNO Cited in: 7 Publications Further Publications: http://lya.fciencias.unam.mx/unamalla/article_i.html all top 5 Cited by 17 Authors 2 Domínguez-Mota, Francisco Javier 2 Egidi, Nadaniela 2 Lentini, Marianela 2 Maponi, Pierluigi 2 Paluszny, Marco 1 Barrera Sánchez, Pablo 1 Cardona, L. 1 Castellanos Noda, Longina 1 Conti, Costanza 1 Cortés, J. J. 1 Flores, G. González 1 González Flores, Guilmer F. 1 Morandi, Rossana 1 Pérez Domínguez, Ángel 1 Sánchez, P. Barrera 1 Spitaleri, Rosa Maria 1 Tinoco-Ruiz, J. G. all top 5 Cited in 6 Serials 2 Applied Numerical Mathematics 1 Mathematics and Computers in Simulation 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Mathematical and Computer Modelling 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics all top 5 Cited in 6 Fields 6 Numerical analysis (65-XX) 2 Geophysics (86-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year