Verdict swMATH ID: 33483 Software Authors: Stimpson, C. J.; Ernst, C. D.; Knupp, P.; Pébay, P. P.; Thompson, D. Description: The Verdict Library Reference Manual. Verdict is a collection of subroutines for evaluating the geometric qualities of triangles, quadrilaterals, tetrahedra, and hexahedra using a variety of metrics. A metric is a real number assigned to one of these shapes depending on its particular vertex coordinates. These metrics are used to evaluate the input to finite element, finite volume, boundary element, and other types of solvers that approximate the solution to partial differential equations defined over regions of space. The geometric qualities of these regions is usually strongly tied to the accuracy these solvers are able to obtain in their approximations. The subroutines are written in C++ and have a simple C interface. Each metric may be evaluated individually or in combination. When multiple metrics are evaluated at once, they share common calculations to lower the cost of the evaluation. Homepage: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.483.5380 Dependencies: C++ Related Software: Triangle; MAXFLOW; Eigen; ShapeOp; VTK; HexEx; CubeCover; QuadCover; Cinolib; CGAL; TetGen; OpenVolumeMesh; Netgen; Dftatom; Libxc; Trilinos; deal.ii; SLEPc; Gmsh; KULL Cited in: 10 Documents all top 5 Cited by 33 Authors 2 Biasotti, Silvia 2 Spagnuolo, Michela 1 Arenas, Cristopher 1 Attene, Marco 1 Berrone, Stefano 1 Bertoluzza, Silvia 1 Bommes, David 1 Cabiddu, Daniela 1 Campen, Marcel 1 Chen, Ruizhi 1 Daines, Esteban 1 Davydov, Denis 1 Grishin, Anton 1 Hitschfeld, Nancy 1 Lachinov, Dmitry 1 Levi, Zohar 1 Livesu, Marco 1 Lobos, Claudio 1 Mandad, Manish 1 Manzini, Gianmarco 1 Owen, J. Michael 1 Patané, Giuseppe 1 Pennacchio, Micol 1 Prada, Daniele 1 Sorgente, Tommaso 1 Steinmann, Paul 1 Turlapov, Vadim 1 Ushakova, Olga V. 1 Vartziotis, Dimitris 1 Vasilev, Eugene I. 1 Vicini, Fabio 1 Wipper, Joachim 1 Young, Toby D. all top 5 Cited in 9 Serials 2 Computer Aided Geometric Design 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 Numerical Algorithms 1 Russian Journal of Numerical Analysis and Mathematical Modelling Cited in 4 Fields 9 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Citations by Year