# L-Shape (Elliptic)

This is a standard adaptivity benchmark whose exact solution is smooth but
contains singular gradient in a re-entrant corner.

## Model problem

Equation solved: Laplace equation

(1)

Domain of interest:

## Exact solution

(2)

where and .

## Boundary conditions

Nonconstant Dirichlet, matching the exact solution.

## Convergence comparisons

Final mesh (h-FEM with linear elements):

Final mesh (h-FEM with quadratic elements):

Final mesh (hp-FEM):

DOF convergence graphs:

CPU time convergence graphs: