dolfin::Dual Class Reference

#include <Dual.h>

Inheritance diagram for dolfin::Dual:

[legend]Collaboration diagram for dolfin::Dual:

[legend]List of all members.

Public Member Functions
	Dual (ODE &primal, Function &u)
	Constructor.
	~Dual ()
	Destructor.
real	u0 (unsigned int i)
	Initial value.
real	f (const Vector &phi, real t, unsigned int i)
	Right-hand side.

---

Detailed Description

A Dual represents an initial value problem of the form

• phi'(t) = J(u,t)^* phi(t) on [0,T),

phi(T) = psi,

where phi(t) is a vector of length N, A is the Jacobian of the right-hand side f of the primal problem, and psi is given final time data for the dual.

To solve the Dual forward in time, it is rewritten using the substitution t -> T - t, i.e. we solve an initial value problem of the form

w'(t) = J(u(T-t),T-t)^* w(t) on (0,T],

w(0) = psi,

where w(t) = phi(T-t).

---

Constructor & Destructor Documentation

Dual::Dual (  ODE &  primal, Function &  u )

Constructor.

Dual::~Dual (   )

Destructor.

---

Member Function Documentation

real Dual::f (  const Vector &  phi, real  t, unsigned int  i )  [virtual]

Right-hand side. Implements dolfin::ODE.

real Dual::u0 (  unsigned int  i  )  [virtual]

Initial value. Implements dolfin::ODE.

---

The documentation for this class was generated from the following files:

• Dual.h
• Dual.cpp

Documentation automatically generated with Doxygen on 10 Sep 2004.