Life swMATH ID: 9018 Software Authors: Christophe Prud’homme Description: Life: Overview of a Unified C++ Implementation of the Finite and Spectral Element Methods in 1D, 2D and 3D. This article presents an overview of a unified framework for finite element and spectral element methods in 1D, 2D and 3D in C++ called Life. The objectives of this framework are quite ambitious and could be expressed in various ways: (i) the creation of a versatile mathematical kernel allowing for easily solving problems using different techniques thus allowing testing and comparing methods, e.g. cG versus dG, (ii) the creation of a small and manageable library which shall nevertheless encompass a wide range of numerical methods and techniques, and (iii) build mathematical software that follows closely the mathematical abstractions associated with the partial differential equations to be solved. Homepage: http://link.springer.com/chapter/10.1007/978-3-540-75755-9_87 Related Software: Feel++; PETSc; GetDP; deal.ii; FIAT; Gmsh; CHOLMOD; Instant; Python; uBLAS; FFC; Sundance; MTL4; SyFi; GTS; SWIG; FEniCS; DOLFIN; Trilinos; FreeFem++ Cited in: 9 Publications all top 5 Cited by 18 Authors 5 Prud’homme, Christophe 3 Pena, Gonçalo 3 Stamm, Benjamin 2 Burman, Erik 2 Chabannes, Vincent 2 Ismail, Mourad 2 Quarteroni, Alfio M. 1 Bertoluzza, Silvia 1 Caldini-Queiros, Céline 1 Doyeux, Vincent 1 Logg, Anders 1 Pennacchio, Micol 1 Samake, Abdoulaye 1 Szopos, Marcela 1 Tarabay, Ranine 1 Wells, Garth N. 1 Wihler, Thomas Pascal 1 Zaza, Chady all top 5 Cited in 7 Serials 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Journal of Scientific Computing 1 Communications in Computational Physics all top 5 Cited in 6 Fields 8 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Partial differential equations (35-XX) 2 Mechanics of deformable solids (74-XX) 1 Computer science (68-XX) Citations by Year