Index

A

alg_newton_np.py assemble, [1] assemble_system assembly of linear systems

assembly, increasing efficiency attribute (class) automatic differentiation

B

boundary conditions boundary specification (class) (function), [1]

BoxMesh BoxMeshField

C

CG finite element family class compilation problems

contour plot coordinate stretching coordinate transformations

D

d1_d2D.py d1_p2D.py d2_d2D.py d2_p2D.py d3_p2D.py d4_p2D.py, [1] d5_p2D.py d6_p2D.py degree of freedom degrees of freedom array, [1] (vector field) derivative

dimension-independent code Dirichlet boundary conditions, [1] DirichletBC dn1_p2D.py dn2_p2D.py dn3_p2D.py dnr_p2D.py DOLFIN DOLFIN mesh down-casting matrices and vectors

E

energy functional Epetra error functional

Expresion Expression Expression with parameters

F

FEniCS finite element specifications flux functional

functionals FunctionSpace

G

Gateaux derivative

H

heterogeneous media

heterogeneous medium

I

info function instance interpolate

interpolation, [1] IntervalMesh

J

Jacobian, automatic computation

Jacobian, manual computation

K

KrylovSolver

L

Lagrange finite element family linear algebra backend linear systems (in FEniCS)

LinearVariationalProblem LinearVariationalSolver

M

mat2_p2D.py membrane1.py membrane1v.p membrane2.py Mesh

mesh transformations method (class) MTL4 multi-material domain, [1]

N

Neumann boundary conditions, [1] Newton's method (algebraic equations) (PDE level) nodal values array, [1]

nonlinear variational problems NonlinearVariationalProblem NonlinearVariationalSolver

P

paD.py parameters database pde_newton_np.py PETSc, [1] Picard iteration picard_np.py plot

plotting plotting problems Poisson's equation Poisson's equation with variable coefficient project projection, [1] pydoc, [1]

R

random start vector (linear systems) RectangleMesh

Robin boundary conditions

S

scitools self sin_daD.py

SLEPc structured mesh successive substitutions

T

test function TestFunction time-dependent PDEs trial function

TrialFunction Trilinos, [1] troubleshooting

U

uBLAS UFL, [1] UMFPACK under-relaxation UniformBoxMeshGrid

UnitCircleMesh UnitCubeMesh UnitIntervalMesh UnitSphere UnitSquareMesh

V

variational formulation vcp2D.py Viper visualization

visualization, structured mesh vp1_np.py vp2_np.py VTK