Demo Codes
Here is a collection of demo programs with increasing complexity to illustrate the main functionalities of the library OFELI.
A two-point boundary
value problem
A 1-D heat equation
A 1-D linear transport equation
The 2-D Laplace
equation with P1 finite elements
The 2-D Laplace
equation with P2 finite elements
The 3-D Laplace
equation with P1 finite elements
The 2-D
Steklov-Poincaré problem using P0 boundary elements
A 2-D steady state diffusion convection code
A 2-D transient heat transfer code
A 3-D steady state heat transfer code
A linear elasticity code with planar deformations
A 3-D linear elasticity code
A linear elasticity code with planar deformations and contact
An elastic beam code
A planar truss code
A 2-D incompressible fluid flow problem using
quadrilateral finite elements
A 2-D incompressible fluid flow problem using
triangular finite elements and a projection method
Solve a linear
system by a direct method
Solve a linear
system issued from a PDE by a preconditioned iterative method
A nonlinear first-order ode given by a regular expression
A
first-order nonlinear ode given numerically
A system of first-order
linear ode's given numerically
A simple
nonlinear ode given by regular expressions
Solution of
a transient heat transfer problem by the BDF2 scheme
Solution of
a problem of elastodynamics by the Newmark method
Eigenvalues of a given symmetric matrix
Solve an eigenvalue
problem for the Laplace equation
A one variable problem
A mutivariable problem
Solution of the Laplace equation as an optimization problem
A one variable problem where the function is given by a C-function
A one variable problem where the function is given by a regular expression
Solution of a system of two algebraic equations, the system being
defined by regular expressions
Solution of the same system as above, where the functions are given by C-functions
A one variable problem with the objective function given
by an algebraic expression
A 2-D mesh adaptation example where
the mesh is adapted to a given solution vector