UFL Specification and User Manual 0.3 - FEniCS Project
UFL Specification and User Manual 0.3 - FEniCS Project
UFL Specification and User Manual 0.3 - FEniCS Project
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<strong>UFL</strong> <strong>Specification</strong> <strong>and</strong> <strong>User</strong> <strong>Manual</strong> <strong>0.3</strong>Martin S. Alnæs, Anders Loggdot product, 37downloading, 98elasticity, 64enumeration, 12examples, 61exterior facet integral, 16facet normal, 27FE <strong>and</strong> QE, 70finite element space, 18fixed-point iteration, 65form arguments, 24form files, 59form language, 15form transformations, 50forms, 16functions, 24, 25GNU General Public License, 101GPL, 101heat equation, 66identity matrix, 27index notation, 29indexing, 29indices, 12, 30inner product, 38installation, 97integrals, 16interior facet integral, 16interior measure, 16inverse, 41jump, 46Lagrange element, 19lambda, 50license, 101linear elasticity, 64mass matrix, 61mixed formulation, 67mixed Poisson, 68Navier-Stokes, 65operators, 35outer product, 39Poisson’s equation, 62Python, 15restriction, 46rotation, 45skew symmetric, 41source code, 98Stokes’ equations, 67strain, 64symmetric, 40Taylor-Hood element, 67tensor algebra operators, 36tensor components, 29time-stepping, 66trace, 36transpose, 36tuple notation, 58typographic conventions, 11Ubuntu package, 100ufl files, 59user-defined operators, 49vector constants, 27vector product, 40vector-valued Poisson, 63118
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