Git reference: Benchmark nonsym-check.
This example uses a nonsymmetric equation and its purpose is to check that nonsymmetric problems are solved correctly.
Equation solved:
(1)-\Delta u + \frac{\partial u}{\partial x} = f.
Domain of interest: Square domain (0, \pi) x (0, \pi).
Right-hand side:
(2)f(x, y) = sin(x) + cos(x).
(3)u(x,y) = sin(x).
Boundary conditions: Zero Dirichlet on left edge, zero Neumann on top and bottom edges, nonzero Neumann on the right edge (all matching exact solution).
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: