A New Minimization Principle for the Poisson Equation Leading to a Flexible Finite Element Approach Academic Article uri icon

abstract

  • A new minimization principle for the Poisson equation using two variables – the solution and the gradient of the solution – is introduced. This principle allows us to use any conforming finite element spaces for both variables, where the finite element spaces do not need to satisfy the so-called inf–sup condition. A numerical example demonstrates the superiority of this approach.

publication date

  • 2017