e consider the problem
(
Poisson
equation with Dirichlet boundary condition
).
Let
be a solution of the problem
(
Poisson
equation with Dirichlet boundary condition
). According to the proposition
(
Green formula
) and the boundary
conditions
Condition
(Approximation in Nitsche norm) We
assume that the finite dimensional spaces
satisfy the following conditions
1.
.
2.
3.
Problem
(Poisson equation weak
formulation 2) Find the solution
that satisfies the condition
Note
that
