FESTA swMATH ID: 13348 Software Authors: Paulino, G.H.; Menezes, I.F.M.; Cavalcante Neto, J.B.; Martha, L.F. Description: A methodology for adaptive finite element analysis: Towards an integrated computational environment. We accomplish the general implementation of the superconvergent patch recovery (SPR) and the recently proposed recovery-by-equilibrium in patches (REP). Both SPR and REP are compared and used for error estimation and for guiding the adaptive remeshing process. Moreover, the SPR is extended for calculating sensitivity quantities of first- and higher-orders. We accomplish the mesh (re-)generation process by means of modern methods, combining quadtree and Delaunay triangulation techniques. Surface mesh generation in arbitrary domains is performed automatically (i.e. with no user intervention) during the self-adaptive analysis, using quadrilateral or triangular elements. These ideas are implemented in the finite element system technology in adaptivity (FESTA) software. The effectiveness and versatility of FESTA are demonstrated by numerical examples. Homepage: http://rd.springer.com/article/10.1007%2Fs004660050416 Keywords: error estimation; \(h\)-refinement; object oriented programming; interactive computer graphics; FESTA software; superconvergent patch recovery; adaptive remeshing; sensitivity; self-adaptive analysis Related Software: PLTMG Cited in: 10 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A methodology for adaptive finite element analysis: Towards an integrated computational environment. Zbl 0935.74070Paulino, G. H.; Menezes, I. F. M.; Cavalcante Neto, J. B.; Martha, L. F. 1999 all top 5 Cited by 21 Authors 5 Paulino, Glaucio H. 1 Aluru, Narayana R. 1 Cavalcante-Neto, Joaquim B. 1 Celes, Waldemar 1 Chung, Soon Wan 1 Espinha, Rodrigo 1 Ghosh, Somnath 1 Häussler-Combe, Ulrich 1 Kim, Jeongho 1 Kim, Seung Jo 1 Kompiš, Vladimír 1 Lee, Kyunghoon 1 Li, Gang 1 Liu, Yong 1 Luo, Yunhua 1 Martha, Luiz Fernando 1 Menezes, Ivan F. M. 1 Mukherjee, Subrata 1 Mukherjee, Yu Xie 1 Park, Kyoungsoo 1 Raghavan, Prasanna all top 5 Cited in 7 Serials 3 International Journal for Numerical Methods in Engineering 2 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Finite Elements in Analysis and Design 1 Computational Mechanics 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Mechanical Engineering Cited in 5 Fields 9 Mechanics of deformable solids (74-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Citations by Year