Introduction to Poor Person's Conjugate Gradient

• Finite Element Method leads to minimization of a Quadratic Form

   

  with customary solution

   

  derived by differentiating (1) with respect to or by completing the square

  

• We will derive an iterative approach (PPCG) to (2) by an intuitive minimization method applied to (1). This is not the true conjugate method, but has the basic idea. As usual, iterations are labelled by and we start with