Barrera Sánchez, P.; Cortés, J. J.; González Flores, G. Harmonic hexahedral structured grid generation. (English) Zbl 1286.65177 Math. Comput. Modelling 57, No. 9-10, 2289-2301 (2013). From the summary: We present a variational numerical method for structured convex hexahedral grid generation. This method is superior to the standard scheme in the sense of B. N. Azarenok [J. Comput. Phys. 218, No. 2, 720–747 (2006; Zbl 1106.65106)]. MSC: 65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs Keywords:structured grid generation; hexahedral grids; PDE’s numerical simulation Citations:Zbl 1106.65106 Software:TRON; CLAWPACK PDFBibTeX XMLCite \textit{P. Barrera Sánchez} et al., Math. Comput. Modelling 57, No. 9--10, 2289--2301 (2013; Zbl 1286.65177) Full Text: DOI References: [1] Ivanenko, S. A.; Charakhch’yan, A. A., Curvilinear grids of convez quadrilaterals, USSR Computational Mathematics and Mathematical Physics, 28, 2 (1998) · Zbl 0671.65095 [2] Azarenok, B., A variational hexaedral grid generator with control metric, Journal of Computational Physics, 218, 720-747 (2006) · Zbl 1106.65106 [3] Ushakova, O., Conditions of nondegeneracy of three-dimensional cells. A formula of a volume of cells, SIAM Journal on Scientific Computing, 23, 4, 1274-1290 (2001) · Zbl 1007.65073 [4] Barrera, P.; Castellanos, L.; Domínguez-Mota, F. J.; González, G.; Pérez, A., Adaptive discrete harmonic grid generation, Mathematics and Computers in Simulation, 79, 1792-1809 (2009) · Zbl 1161.65088 [5] Ivanenko, S. A., Harmonic mappings, (Thompson, J. F.; Soni, B. K.; Weatherill, N. P., Handbook of Grid Generation (1999), CRC Press: CRC Press Boca Raton, Fl), (Chapter 8) [6] Liseikin, V. D., Grid Generation Methods (1999), Springer-Verlag: Springer-Verlag New York · Zbl 0949.65098 [7] Lin, C. J.; Moré, J. J., Newton’s method for large bound-constrained optimization problems, SIAM Journal on Optimization, 9, 4, 1100-1127 (1999) · Zbl 0957.65064 [8] Barrera Sánchez, P.; Cortés, J. J.; González Flores, G.; Domínguez Mota, F. J.; Tinoco Ruiz, J. G., Smoothness and convex area functioinals—revisited, SIAM Journal on Scientific Computing (2010) · Zbl 1215.65184 [9] LeVeque, R.; Calhoun, D.; Helzel, C., Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains, SIAM Review, 50, 4, 723-752 (2008) · Zbl 1155.65061 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.