A FEniCS Tutorial - FEniCS Project
A FEniCS Tutorial - FEniCS Project
A FEniCS Tutorial - FEniCS Project
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MTL4, 15<br />
multi-material domain, 68, 73<br />
Neumann boundary conditions, 38, 77<br />
Newton’smethod(algebraicequations),<br />
51<br />
Newton’s method (PDE level), 54<br />
nodal values array, 18, 27<br />
nonlinear variational problems, 58<br />
NonlinearVariationalProblem, 58<br />
NonlinearVariationalSolver, 58<br />
paD.py, 47<br />
parameters database, 16<br />
pde newton np.py, 55<br />
PETSc, 15, 86<br />
Picard iteration, 49<br />
picard np.py, 50<br />
plot, 24<br />
Poisson’s equation, 5<br />
Poisson’s equation with variable coefficient,<br />
28<br />
project, 28<br />
projection, 26, 28<br />
pydoc, 19, 83<br />
random start vector (linear systems),<br />
46<br />
Rectangle, 71<br />
Robin boundary conditions, 77<br />
scitools, 35<br />
self, 82<br />
sin daD.py, 66<br />
SLEPc, 45<br />
structured mesh, 35<br />
successive substitutions, 49<br />
test function, 6<br />
TestFunction, 11<br />
time-dependent PDEs, 59<br />
trial function, 6<br />
TrialFunction, 11<br />
Trilinos, 15, 86<br />
troubleshooting, 88<br />
uBLAS, 15<br />
UFL, 12, 82<br />
UMFPACK, 16<br />
under-relaxation, 51<br />
UniformBoxGrid, 35<br />
UnitCircle, 71<br />
UnitCube, 71<br />
UnitInterval, 71<br />
UnitSphere, 71<br />
UnitSquare, 71<br />
variational formulation, 6<br />
vcp2D.py, 29<br />
Viper, 24, 82<br />
visualization, 24<br />
visualization, structured mesh, 35<br />
vp1 np.py, 55<br />
vp2 np.py, 55<br />
VTK, 24<br />
94